Scuola Normale Superiore di Pisa

Education

• Ph.D in theoretical and applied mechanics, Università di Roma ‘La Sapienza’, 1997.
• ‘Laurea’ (fifth year degree) in Structural Engineering, Università di Roma ‘La Sapienza’.
• High School in humanities.

Academic services

• Since 2005, Associate Professor of `Mechanics of Solids' at the University of Florence (habilitation got in 2001).
• From 2009 to 2011, lectures in ‘Theoretical Mechanics’ in the Scuola Normale Superiore at Pisa.
• Since a.y. 2010-2011, in charge of the course ‘Mechanics of Solids’ at the Gonzaga University in Florence.
• A.y. 2009-2010: member of two national committees for confirmation of associate professors after three years of appointment.
• Visiting professor (2008, 2009, 2010) in the Polytechnic University of Madrid.
• Visiting professor (2009) in the University of Zürich.
• Since 2008, coordinator (together with A. Mielke) of the research group in ‘Theoretical Mechanics’ at the Center of Mathematical Research Ennio De Giorgi, Pisa.
• Since 2008 member of the board of professors of the PhD program in ‘Non-Linear Dynamics and Complex Systems’ of the University of Florence.
• Since 2007 coordinator of the `Technical Commitee' of the School of Engineering in the University of Florence.
• Visiting professor (February, April-May 2004) at the ‘Centre of Excellence for Advances Materials and Structures’ of the Polish Academy of Sciences.
• 1997-2001, adjunct professor of `Mechanics of Solids' (Mechanical Engineering) at the University of Rome `La Sapienza'.
• 1999, lecturer at CISM, Udine.
• 1996, 2003, 2004, research associate at the University of Pisa, Department of Mathematics.

Research interests

• Mechanics and thermodynamics of continua: foundations of the mechanics of complex bodies connecting events from nano to macroscopic level, construction of models for special classes of complex bodies (quasicrystals, ferroelectrics, polymeric fluids…), dynamics of complex fluids, discontinuity waves, evolution of point, line and surface defects, fracture mechanics, damage mechanics, plasticity.
• Computational methods: extended finite elements for the mechanics of complex bodies, variational integrators.
• Statistical mechanics: substructural stochastic behaviour in random materials.

Editorial Boards

• Mathematical Methods in the Applied Sciences, Wiley, Communicating Editor since 2010 (MMAS).
• Materials Sciences and Applications, Scientific Research, member of the Editorial Board since 2010 (MSA, an open access journal).
• ISRN Engineering Mechanics, Hindawi, member of the Editorial Board since 2010 (ISRN, an open access journal)

Editorial activity for multi-authored books and special issues of journals

• Guest editor with G. Capriz (Pisa) of the special issue ‘Multifield Theories’, Int. J. Solids Structures, Elsevier, vol 38, n° 6-7, 2001.
• Guest editor with G. Capriz (Pisa) of the special issue ‘Describing bodies from nano- to macro-scales: models and methods’, Meccanica, Springer, vol. 40, n° 4-6, 2005.
• Editor with G. Capriz (Pisa) of the book ‘Material substructures in complex bodies: from atomic level to continuum’, Elsevier, 2007.
• Guest editor with G. Capriz (Pisa) and P. Giovine (Reggio Calabria) of the special issue,  ‘Modelling granularity’, Computers & Mathematics, Elsevier, vol. 55, n° 2, 2008.
•  Editor with G. Capriz (Pisa) and P. Giovine (Reggio Calabria) of the book ‘Mathematical models of granular matter’, Lecture Notes in Mathematics Series, Springer Verlag, 2008.
• Managing guest editor (co-editors G. Frosali and G. Modica, Firenze) of the special issue  ‘Evolution Equations in Pure and Applied Sciences’, Physica D, Elsevier, in preparation, scheduled for 2010.
• Guest editor of the Special Issue,  ‘Numerical Simulations of Discontinuities in Mechanics’, Algorithms (MDPI), in print 2009.
• Guest editor with M. Focardi of the special issue  ‘Analytical and Geometrical Problems in Continuum Mechanics’, Discrete and Continuous Dynamical Systems - B , AIMS, in preparation, scheduled for 2011.
• Guest editor of the book, ‘Letters from the Palazzetto. An excursion in the history of ideas in continuum mechanics’, Scuola Normale Superiore - Edizioni della Normale (distributed by Birkhäuser), in prepraration, 2011.

Societies

Member of the following scientific-technical societies:

• AIMETA, Italian Association of Theoretical and Applied Mechanics
• ISIMM, International Society for Interactions of Mechanics and Mathematics
• EUROMECH, European Society of Mechanics
• GNFM-INDAM, Italian National Group of Mathematical Physics
• IASSAR (member of the board SC4)
• Society for Natural Philosophy
• ECCOMAS
• Commission 1 of the UNI, Italian Institute of Standards

Service as reviewer

• Reviewer (since 2005) of the research projects for the Italian-French University.
• Reviewer for the following international journals: (1) Mathematical Review (58 published reviews), (2) Proceedings of the Royal Society of London A, (3) International Journal for Numerical Methods in Engineering, (4) Journal of Physics A: Mathematical and Theoretical, (5) Journal of Mathematical Physics, (6) Rendiconti Lincei: Matematica e Applicazioni, (7) Journal of Geometry and Physics, (8) Il Nuovo Cimento B, (9) Physics Letters A, (10) Physica B, (11) Computer Methods in Applied Mechanics and Engineering, (12) Physica Status Solidi B, (13) International Journal of Solids and Structures, (14) Journal of Elasticity, (15) Applied Mathematical Modelling, (16) Mathematical Methods in the Applied Sciences, (17) International Journal of Fracture, (18) Bollettino Unione Matematica Italiana B, (19) ASCE Journal of Engineering Mechanics, (20) Computers and Structures, (21) Computers and Mathematics, (22) Meccanica, (23) International Journal of Mathematics and Mathematical Sciences, (24) Engineering Structures, (25) Mechanics of Structures and Machines (ceased), (26) ZAMM, (27) SIAM J. Math. Analysis, (28) Multiscale Modeling and Simulations, (29) Mechanics Research Communications (30) Communications in Nonlinear Sciences and Numerical Simulations, (31) Discr. Cont. Dyn. Systems - B, (32) Mech. Mat., (33) J. Mech. Mat. Struct., (34) Eur. J. Mech. A-Solids.

Key-note lectures and organization of symposia

• Organizer with A. Mielke of the Intensive School ‘Mathematical Principles for and Advances in Continuum Mechanics’, ‘Centro di Ricerche Matematiche Ennio De Giorgi’, November 2011.
• Plenary talk in STAMM-2010, Berlin, Germany, August 30th - September 2nd, 2010.
• Plenary talk in CPEA-2010, Rackeve, 2010.
• Plenary talk in 9th GAMM Seminar on Microstructures, Stuttgart, Germany, January 22-23, 2010.
• Organizer with G. Fosali and G. Modica of the Symposium ‘Evolution Equations in Pure and Applied Sciences’, Università di Firenze, April 2008.
• Organizer of the Symposium ‘Mathematical Lectures’, ‘Centro di Ricerche Matematiche Ennio De Giorgi’, September 2007.
• Organizer of the Intensive Course ‘Structures of the Mechanics of Complex Bodies’ at the ‘Center of Mathematical Research E. De Giorgi’, October 2007.
• Organizer with T. J. Pence and E. Vanden-Ejinden of the Symposium ‘Geometric and Stochastic Aspects of the Mechanics of Complex Bodies’ within ICIAM-2007, Zürich, July 2007.
• Organizer of a sub-session of the sector ‘Mathematical Physics’ at the International Congress of Mathematicians ICM 2006, Madrid, June 2006.
• Organizer of the symposium ‘Models of multi-scale phenomena in simple and complex bodies’ within SIMAI-2006, Baia Samuele, May 2006.
• Organizer with G. Capriz of the ‘Minisymposium Nanotechnologies: building up structures at the nano and meso-scales’ within AIMETA 2005, Firenze, September 2005.
• Key-note lecturer of a session at the ‘Symposium on Probabilistic Mechanics’ within the Third MIT Conference on Computational Fluid and Solid Mechanics, Boston, June 2005.
• Organizer with G. Capriz of the `Minisymposium on Multifield Theories' within AIMETA-2001, Taormina, September 2001.

Teaching activity abroad

• Course on 'Gradient Plasticity' delivered at the Università Politecnica di Madrid, September, 2010.
• Course on 'Fluid-dynamics' delivered at the University of Zürich, October-December, 2009.
• Course on 'Evolutionary Phenomena in the Mechanics of Complex Bodies' delivered at the Università Politecnica di Madrid, May-June, 2009.
• Course on 'Mechanics of Complex Bodies: Foundations and Perspectives' delivered at the Università Politecnica di Madrid, September 2008.
• Lecturer in the advanced school `Random Material Microstructures' at the `Center of Excellence for Advances Materials and Structures' of the Polish Academy of Sciences, February 2004.
• Lecturer in the CISM Course `Damage and fracture in disordered materials', invited by D. Krajcinovic and G. van Mier, 2000.
• Lecturer in the Applied Mechanics Seminar - Summer at MIT, invited by R. Abeyaratne, June 1998.___________________________________________

• Further seminar activity (chronological order of the first visit) at 
• Università di Roma “Tor Vergata”,
• Arizona State University,
• Università di Ferrara,
• Brown University,
• Yale,
• MIT,
• Istituto per l’Elaborazione dell’Informazione, CNR
• Università di Pisa,
• Northwestern University,
• Università Politecnica delle Marche,
• Budapest University of Technology,
• Université de Versailles et St Quentin en Yvelines,
• Ecole Polytechnique,
• IPPT, Polish Academy of Sciences,
• Università Politecnica delle Marche,
• Università di Trento,
• Weierstrass Institute for Applied Analysis and Stochastics,
• Politecnico di Milano,
• Università Politecnica di Madrid,
• Università di Brescia,
• Università di Bologna,
• Università del Salento,
• Università di Pavia,
• Tartu University.

Students tutored for ‘Laurea’ thesis and PhD thesis

Luca Sabatini (PhD thesis, 2000, Università di Roma ‘La Sapienza’), Furio Lorenzo Stazi (‘Laurea’ thesis, 1999; PhD thesis, 2003, Università di Roma ‘La Sapienza’ – recipient of the ‘2004 ECCOMAS Prize’ for the best PhD thesis in Computational Mechanics), Gilberto Barone-Adesi (‘Laurea’ thesis, 2002, Università di Roma ‘La Sapienza’), Daniele Rosselli (‘Laurea’ thesis, 2003, Università di Roma ‘La Sapienza’), Erica Lauretti (‘Laurea’ thesis, 2006, Università di Roma ‘La Sapienza’, PhD thesis, 2007-2009, Université de Versailles et Saint Quentin-en-Yvelines), Carla Rigat Pons (Master thesis, 2006, UPC, Barcelona), Chiara Lelli (‘Laurea specialistica’ thesis, 2008, Università di Firenze, Ph.D. at ‘Politecnico di Milano’), Rossella Pignatelli (‘Laurea specialistica’ thesis, 2008, Università di Firenze, joint program with University of California at San Diego La Jolla, Ph.D. at ‘Politecnico di Milano’), Niccolò Tosi (Batchelor thesis, 2008, Università di Firenze), Camilla Baroncelli (‘Laurea specialistica’ thesis, 2008, Università di Firenze, joint program with Georgia Tech), Paolo Paoletti (PhD thesis, 2007-2009, Università di Firenze, joint program with Harvard University), Guido Franchetti (‘Laurea specialistica’ thesis, 2008, Università di Firenze), Marco Bacci (PhD thesis, 2009-2012, Università di Firenze, joint program with Los Alamos National Laboratories), Francesco Paternò (Batchelor thesis, 2011, Università di Firenze).

MONOGRAPHS (M)
[M3] P. M. Mariano (2011), Mathematical Views on Continuum Mechanics (provisional), Scuola Normale Superiore - Edizioni della Normale ( distributed by Birkhäuser ), under completion.
[M2] L. Galano, P. M. Mariano (2011), Eserciziario di Meccanica delle Strutture, COMPOMAT, Rieti.
[M1] F. Angotti, P. M. Mariano (2011), Meccanica dei solidi elasto-plastici ( Mechanics of elastic-plastic bodies ), Pitagora, Bologna.

Books and special issues of journals edited (BS)  
[BS11] Letters from the Palazzetto. An excursion in the history of ideas of continuum mechanics (tentative title), Scuola Normale Superiore – Edizioni della Normale (distributed by Birkhäuser ), P. M. Mariano Ed., in preparation.
[BS10] Analytical and geometrical problems in continuum mechanics, Discrete and Continuous Dynamical Systems - B, AIMS, M. Focardi , P. M. Mariano Edts, vol. 17, n° 2, (2012).
[BS9] Evolution equations in pure and applied sciences, Physica D: Nonlinear Phenomena, Elsevier, G. Frosali , P. M. Mariano, G. Modica Edts , vol. 239, n°  15, (2010), p. 1379-1502.
[BS8] Numerical simulation of discontinuities in mechanics, Algorithms, MDPI, S. Mariani , P. M. Mariano, P. Venini Edts , printed along the 2009 issues.
[BS7] Mathematical models of granular matter, Lecture Notes in Mathematics Series, Springer, G. Capriz , P. Giovine , P. M. Mariano Edts , vol. 1937, 2008.
[BS6] Modeling granularity, Computers & Mathematics with Applications, Elsevier, G. Capriz , P. Giovine , P. M. Mariano Edts , vol. 55 (2008) n° 2, p. 131-318.
[BS5] Material substructures in complex bodies: from atomic level to continuum, Elsevier, G. Capriz and P. M. Mariano Edts (2007), 342 pages.
[BS4] Describing bodies from nano to macroscopic level, Meccanica, Springer, G. Capriz and P. M. Mariano Edts , vol. 40 (2005) n° 4-6, p. 327-528.
[BS3] Advances in multifield theories of continua with substructure, Birkhäuser, G. Capriz , P. M. Mariano Edts (2004), 263 pages.
[BS2] Proceeding of the XV AIMETA Congress of Theoretical and Applied Mechanics, Taormina, September 26-29 (2001) G. Augusti , P. M. Mariano, V. Sepe , M. Lacagnina Edts .
[BS1] Multifield theories, International Journal of Solids and Structures, Elsevier, G. Capriz , P. M. Mariano Edts , (2001) vol. 38, n° 6-7, p. 939-1263.
            
JOURNAL PAPERS (J)
[J60] P. M. Mariano (2011), Line defect evolution in finite-dimensional manifolds, Discrete and Continuous Dynamical Systems - B , in print.
[J59] P. M. Mariano (2011), Crystal plasticity: the Hamilton-Eshelby stress in terms of the metric in the intermediate configuration, Theoretical and Applied Mechanics, in print.
[J58] E. Radi , P. M. Mariano (2011), Steady-state propagation of dislocations in quasicrystals, Proceedings of the Royal Society of London A, 467, 3490 - 3508 (doi:10.1098/rspa.2011.0226).
[J57] S. Colli, P. M. Mariano (2011), The standard description of quasicrystal linear elasticity may produce non-physical results, Physics Letters A, 375, 3335-3339.
[J56] E. Radi , P. M. Mariano (2011), Dynamic steady state crack propagation in quasi-crystals, Mathematical Methods in the Applied Sciences, 34, 1-23.
[J55] P. M. Mariano (2010), Spin field topological linear defects in quasicrystals with magnetic order, Physics Letters A, 375, 80-83.
[J54] M. Giaquinta , P. M. Mariano, G. Modica (2010), A variational problem in the mechanics of complex materials, Discrete and Continuous Dynamical Systems - A, 28, 519-537.
[J53] E. Radi , P. M. Mariano (2010), Stationary straigth cracks in quasicrystals, International Journal of Fracture, 166, 105-120.
[J52] M. Giaquinta , P. M. Mariano, G. Modica , D. Mucci (2010), Ground states of simple bodies that may undergo brittle fracture, Physica D - Nonlinear Phenomena, 239, 1485-1502.
[J51] P. M. Mariano (2010), Physical significance of the curvature varifold-based description of crack nucleation, Rendiconti Lincei, Matematica e Applicazioni (Atti dell'Accademia Nazionale dei Lincei, Classe di Matematica, Fisica e Scienze Naturali, Rendiconti Lincei), 21, 215-233.
[J50] P. M. Mariano (2009), The relative power and its invariance, Rendiconti Lincei, Matematica e Applicazioni (Atti dell'Accademia Nazionale dei Lincei, Classe di Matematica, Fisica e Scienze Naturali, Rendiconti Lincei), 20, 227-242.
[J49] P. M. Mariano, P. Paoletti (2009), Complex bodies with memory: linearized setting, Mathematical Methods in the Applied Sciences, 32, 1041-1067.
[J48] M. Focardi , P. M. Mariano (2009), Discrete dynamics of complex bodies: variational integrators and convergence, Discrete and Continuous Dynamical Systems - B, 11, 109-180.
[J47] P. M. Mariano, G. Modica (2009), Ground states in complex bodies, ESAIM -- Control, Optimization and Calculus of Variations, 15, 377-402.
[J46] G. Augusti , P. M. Mariano, F. L. Stazi (2009), Semi-dense and concentrated fullerene-based composites: microdeformation and strain gradient effects, Journal of the Mechanical Behavior of Materials, 19, 125-133.
[J45] M. Focardi , P. M. Mariano (2008), Convergence of asynchronous variational integrators in linear elastodynamics, International Journal for Numerical Methods in Engineering, 75, 755-769.
[J44] P. M. Mariano (2008), Mechanics of complex bodies: commentary on the unified modelling of material substructures, Theoretical and Applied Mechanics, 35, 233-251.
[J43] P. M. Mariano (2008), Cracks in complex bodies: covariance of tip balances, Journal of Nonlinear Science, 18, 99-141.
[J42] P. M. Mariano (2007), Representation of material elements and geometry of substructural interactions, Quaderni di Matematica, 20, 80-100.
[J41] P. M. Mariano (2007), Thermodynamic stability for materials with substructure, Journal of the Mechanical Behavior of Materials, 18, 97-104.
[J40] G. Capriz , P. M. Mariano (2007), Symmetries and Poisson structures for complex materials, Journal of the Mechanical Behavior of Materials, 18, 89-96.
[J39] P. M. Mariano (2007), Geometry and balance of hyperstresses, Rendiconti Lincei, Matematica e Applicazioni (Atti dell'Accademia Nazionale dei Lincei, Classe di Matematica, Fisica e Scienze Naturali, Rendiconti Lincei), 18, 311-331.
[J38] P. M. Mariano, F. L. Stazi , M. Gioffrè (2006), Stochastic clustering and self-organization of gross deformation and phason activity in quasicrystals : modeling and simulations, Journal of Computational and Theoretical Nanoscience, 3, 478-486.
[J37] P. M. Mariano (2006), Mechanics of quasi-periodic alloys, Journal of Nonlinear Science, 16, 45-77.
[J36] P. M. Mariano (2005), Walk of a line defect in quasicrystals, Meccanica, 40, 511-525.
[J35] P. M. Mariano (2005), Migration of substructures in complex fluids, Journal of Physics A, 38, 6823-6839.
[J34] P. M. Mariano, F. L. Stazi (2005), Computational aspects of the mechanics of complex materials, Archives for Computational Methods in Engineering, 12, 391-478.
[J33] P. M. Mariano (2005), SO(3) invariance and covariance in mixtures of simple bodies, International Journal of Non-Linear Mechanics, 40, 1023-1030.
[J32] C. de Fabritiis , P. M. Mariano (2005), Geometry of interactions in complex bodies, Journal of Geometry and Physics, 54, 301-323.
[J31] P. M. Mariano (2005), Influence of material substructure on crack propagation: a unified treatment, Proceedings of the Royal Society of London A, 461, 371-395.
[J30] P. M. Mariano, F. L. Stazi , G. Augusti (2004), Phason effects around a crack in Al- Pb - Mn quasicrystals : stochastic aspects of the phonon- phason coupling, Computers & Structures, 82, 971-983.
[J29] P. M. Mariano (2004), Some thermodynamical aspects of the solidification of two-phase flows, Meccanica, 4, 369-382.
[J28] P. M. Mariano, F. L. Stazi (2004), Strain localization due to crack- microcrack interactions: X-FEM for a multifield approach, Computer Methods in Applied Mechanics and Engineering, 193, 5035-5062.
[J27] P. M. Mariano, C. M. Casciola , E. De Angelis (2004), Substructural interactions and transport in polymer flows, International Journal of Non-Linear Mechanics, 39, 457-465.
[J26] P. M. Mariano, M. Gioffrè , F. L. Stazi , G. Augusti (2004), Elastic microcracked bodies with random properties, Probabilistic Engineering Mechanics, 19, 127-143.
[J25] P. M. Mariano (2004), Consequences of "changes" of material metric in simple bodies, Meccanica, 39, 77-79.
[J24] G. Capriz , P. M. Mariano (2003), Symmetries and Hamiltonian formalism for complex materials, Journal of Elasticity, 72, 57-70.
[J23] P. M. Mariano (2003), Cancellation of vorticity in steady-state non-isentropic flows of complex fluids, Journal of Physics A, 36, 9961-9972.
[J22] P. M. Mariano, M. Gioffré , F. L. Stazi , G. Augusti (2002), Microcracked bodies with random properties: a preliminary investigation on localization phenomena, Computers & Structures, 80, 1027-1047.
[J21] P. M. Mariano (2002), A note on Ceradini - Capurso -Maier's theorem in plasticity, International Journal of Plasticity, 18, 1749-1773.
[J20] P. M. Mariano (2002), Multifield theories in mechanics of solids, Advances in Applied Mechanics, 38, 1-93.
[J19] F. Davì , P. M. Mariano (2001), Evolution of domain walls in ferroelectric solids, Journal of the Mechanics and Physics of Solids, 49, 1701-1726.
[J18] P. M. Mariano, F. L. Stazi (2001), Strain localization in elastic microcracked bodies, Computer Methods in Applied Mechanics and Engineering, 190, 5657-5677.
[J17] P. M. Mariano, G. Augusti (2001), Basic topics on damage pseudo-potentials, International Journal of Solids and Structures, 38, 1963-1974.
[J16] P. M. Mariano (2001), Coherent interfaces with junctions in continua with microstructure, International Journal of Solids and Structures, 38, 1243-1267.
[J15] P. M. Mariano, L. Sabatini (2000), Homothermal acceleration waves in multifield theories of continua, International Journal of Non-Linear Mechanics, 35, 963-977.
[J14] P. M. Mariano (2000), Configurational forces in continua with microstructure, ZAMP - Zeitschrift für angewandte Mathematik und Physik , 51, 752-791.
[J13] P. M. Mariano, P. Trovalusci (1999), Constitutive relations for elastic microcracked bodies: from a lattice model to a multifield continuum description, International Journal of Damage Mechanics, 8, 153-173.
[J12] P. M. Mariano (1999), Some remarks on the variational description of microcracked bodies, International Journal of Non-Linear Mechanics, 34, 633-642.
[J11] G. Augusti , P. M. Mariano (1999), Stochastic evolution of microcracks in continua, Computer Methods in Applied Mechanics and Engineering, 168, 155-171.
[J10] P. M. Mariano, G. Augusti (1998), Ordering and transport in generalized continua with arbitrary order parameters, Journal de Physique, IV Pr8, 223-230.
[J9] P. M. Mariano, G. Augusti (1998), Multifield description of microcracked continua. A local model, Mathematics and Mechanics of Solids, 3, 237-254.
[J8] P. M. Mariano, D. Bernardini (1998), Flow rules for porous elastic-plastic materials, Mechanics Research Communications, 25, 443-448.
[J7] P. M. Mariano (1998), On the axioms of plasticity, International Journal of Solids and Structures, 35, 1313-1324.
[J6] P. M. Mariano (1997), Natural entropies in the state space of damaged bodies, ZAMP - Zeitschrift für angewandte Mathematik und Physik, 48, 1002-1011.
[J5] P. M. Mariano, G. Augusti (1997), Some axioms and theorems in damage mechanics and fatigue of materials, International Journal of Solids and Structures, 34, 3337-3350.
[J4] P. M. Mariano (1996), Nöther's theorem in the elastic dynamics of microcracked bodies, Mechanics Research Communications, 23, 233-238.
[J3] G. Augusti , P. M. Mariano (1996), Introduction to computational methods of damage dynamics under stochastic actions, Probabilistic Engineering Mechanics, 11, 107-112.
[J2] P. M. Mariano (1995), Fracture in structured continua, International Journal of Damage Mechanics, 4, 283-289.
[J1] P. M. Mariano (1994), Discussion on J. M. Zhang and K. Y. Lam, "On material symmetry and deformation-induced anisotropy", Meccanica , 29, 217-220.

B. Volume chapters
 
[B10] M. Giaquinta , P. M. Mariano, G. Modica , D. Mucci (2010), Currents and curvature varifolds in continuum mechanics, in Nonlinear partial differential equations and related topics: A volume dedicated to Nina N. Ural'ceva , Translations of the American Mathematical Society, Advances in Mathematics Series, invited contribution, 229, 97-117.
[B9] P. M. Mariano (2008), Slow motion in granular matter, in Mathematical models of granular matter, P. M. Mariano, G. Capriz , P. Giovine Edts , Lecture Notes in Mathematics Series, Springer Verlag , Berlin, 1937, 193-210.
[B8] P. M. Mariano (2007), Continua with spin structure, in Material substructures in complex bodies: from atomic level to continuum, Elsevier, G. Capriz , P. M. Mariano Edts , 314-334.
[B7] G. Capriz , P. M. Mariano (2004), Symmetries and Hamiltonian formalism for complex materials, in The Rational Spirit in Modern Continuum Mechanics (Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III), C.-S. Man, R. Fosdick Edts , Kluwer -- Springer, 127-140 (reprint of [J24]).
[B6] P. M. Mariano (2004), Lectures on substructural randomness in complex bodies, in Random Material Microstructures, K. Sobczyc Edt ., Centre of Excellence for Advanced Materials and Structures, Warsaw , 155-221.
[B5] G. Capriz , P. M. Mariano (2004), Balance at a junction among coherent interfaces in continua with substructures, in Advances in multifield theories of continua with substructure, G. Capriz , P. M. Mariano Edts , Birkhauser Verlag , Basel , 243-263.
[B4] E. De Angelis, C. M. Casciola , P. M. Mariano, R. Piva (2004), Microstructure and turbulence in dilute polymer solutions, in Advances in Multifield Theories of Continua with Substructure, G. Capriz , P. M. Mariano Edts , Birkhauser Verlag , Basel, 127-149.
[B3] G. Augusti , P. M. Mariano, F. L. Stazi (2002), Laws of evolution of cracks in plates in terms of stress resultants, in New Approaches to Structural Mechanics, Shells and Biological Structures, H. R. Drew, S. Pellegrino Edts , Kluwer Academic Publishers, Dordrecht, 43-56.
[B2] P. M. Mariano (2000), Premises to a multifield approach to stochastic damage evolution, Chapter 6 of Damage and Fracture in Disordered Materials, D. Krajcinovic , J. van Mier Edts , Springer Verlag , Berlin , 217-263.
[B1] M. Capurso, G. Augusti, P. M. Mariano (1999), Meccanica dei solidi, Manuale di Ingegneria Civile, Zanichelli, Bologna, vol. 2, SC1-SC19.

Papers on history and phylosophy of science (H)
 
[H3]    P. M. Mariano (2011), Della poesia e della cosa numerica. Strutture della poesia e strutture della matematica: congruenze e dissonanze, Prometeo, Mondadori, in print (in Italian).
[H2]    P. M. Mariano (2011), A colloquio con Simone Weil. Note sul contributo della matematica alla percezione dei problemi industriali e sulla natura dei modelli, Prometeo, Mondadori, 115, 14-21 (in Italian).
[H1]    P. M. Mariano (2010), Strutture ed Interconnessioni. Un'escursione tra i pensieri sulla matematica, Prometeo, Mondadori, 111, 14-21 (in Italian).

Papers in conference proceedings (C)
 
[CP31] J. Planas , E. Radi , M. M. Stickle, P. M. Mariano (2010), Mechanics of interfacial cracks between dissimilar quasicrystals , Proceedings of CIFIE-2010, Porto, Portugal, March 17 th -19 th .
[CP30] M. Giaquinta , P. M. Mariano, G. Modica , D. Mucci (2008), Stratified energies: ground states with cracks, Proceedings of the IUTAM Symposium Progress in the Theory and Numerics of Configurational Mechanics, Erlangen-Nuremberg , Germany, October 20 th -24 th (text of an invited lecture), Springer Verlag , Berlin, 159-168.
[CP29] E. Radi , P. M. Mariano (2009), Propagation of dislocations in 2D quasicrystals , Proceedings of AIMETA 2009, Ancona , September 14 th .
[CP28] M. Focardi , P. M. Mariano (2008), Convergence of AVI's for the linear elastodynamics of simple bodies, Proceedings of IACM/ECCOMAS 2008, Venezia , June 30 th – July 4 th .
[CP27] A. Bosi , F. Mollaioli , P. M. Mariano (2008), Wavelet analysis on detecting pulse-like earthquakes, Proceedings of 2008 Seismic Engineering Conference Commemorating the 1908 Messina and Reggio Calabria Earthquake, A. Santini , N. Moraci Edts ., AIP Conference Proceedings, 1020, Melville, New York, 1803-1810.
[CP26] P. M. Mariano (2007), Mechanics of complex bodies: comments on the unified modelling of active substructures, Proceedings of ICIAM 2007, Zürich, July 16 th -20 th .
[CP25] A. Bosi , L. Salvatori , P. M. Mariano (2007), Gross scale effects of atomic rearrangements in quasicrystals : numerical simulation and wavelet analysis, Proceedings of AIMETA 2007, Brescia, September 11 th -15 th .
[CP24] P. M. Mariano, M. Focardi (2007), Convergence of asynchronous variational integrators in linear elastodynamics , Proceedings of AIMETA 2007, Brescia, September 11 th -15 th .
[CP23] P. M. Mariano, M. Gei (2005), Macroscopic effects of atomic modes in quasicrystals , Proceedings of AIMETA 2005, Firenze, September 11 th -15 th .
[CP22] P. M. Mariano, F. L. Stazi , M. Gioffré , G. Augusti (2005), Stochastic clustering of phonon and phason modes around the tip of a crack in icosahedral quasicrystals , Proceedings of ICF 2005, Torino, March (text of an invited lecture).
[CP21] P. M. Mariano, M. Gei (2005), Dynamic coupling between phonon and phason dynamic modes in quasi-periodic alloys, Proceedings of the Third MIT Conference on Computational Fluid and Solid Mechanics, June, Elsevier (text of an invited lecture).
[CP20] G. Augusti , P. M. Mariano, F. L. Stazi (2004), Stochastic effects in complex construction materials with cracks, Proceedings of 9 th ASCE Conference on Prob. Mech. and Structural Reliability, Los Alamos (text of an invited lecture).
[CP19] P. M. Mariano, F. L. Stazi (2003), Linear-elastic fullerene-based composites with random properties, Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, June 17 th -20 th , Elsevier (text of an invited lecture).
[CP18] P. M. Mariano (2003), Energy decay along elastic cylinders of complex materials, Proceedings of AIMETA 2003, Ferrara , September 9 th -12 th .
[CP17] P. M. Mariano (2002), Weak non-local effects in crack propagation, Proceedings of SIMAI-2002, Cagliari, May 27 th -31 st text of an invited lecture).
[CP16] M. Gioffrè , F. L. Stazi , P. M. Mariano, G. Augusti (2002), Elastic microcracked bodies with random properties, Proceedings of the International Conference on Computational Stochastic Mechanics, Corfù , Greece, June 9 th -12 th .
[CP15] G. Augusti , M. Gioffrè , P. M. Mariano, F. L. Stazi (2002), Elastic bodies with random distribution of microcracks , Proceedings of IFIP WG7.5 Conference, Osaka, March 25 th -27 th (text of an invited lecture).
[CP14] P. M. Mariano, F. L. Stazi (2001), Solidificazione di flussi bifase (in Italian), Proceedings of AIMETA-2001, Taormina, September 26 th -29 th .
[CP13] G. Augusti , P. M. Mariano, F. L. Stazi (2001), Localization phenomena in randomly microcracked bodies, Proceedings of First MIT Conference on Computational Fluid and Solid Mechanics, June 12 th -14 th , Elsevier (text of an invited lecture).
[CP12] G. Augusti, P. M. Mariano, F. L. Stazi (2000), Modelli di elementi finiti per solidi microfessurati and fenomeni di localizzazione (in Italian ), Atti del XIII Convegno Italiano di Meccanica Computazionale, Brescia, November 13 th -15 th (text of an invited lecture ).
[CP11] P. M. Mariano, G. Augusti (2000), Evolution of phase interfaces in direct models of plates made of shape memory alloys, Proceedings of the Fourth International Colloquium on Computation of Shell and Spatial Structures IASS-IACM 2000, June 5 th -7 th , Chania-Creta , Grecia , CD-rom (text of an invited lecture).
[CP10] P. M. Mariano, G. Capriz (1999), Superfici di discontinuità nelle teorie multicampo (in Italian ), Proceedings of AIMETA 1999, October 6 th -9 th , Como, CD-rom .
[CP9] P. M. Mariano, G. Augusti (1999), Nonlinear behavior of stochastically microcracked bodies, Proceedings of European Conference on Computational Mechanics ECCM 1999, August 31 st -- September 3 rd , München , CD-rom .
[CP8] P. M. Mariano, P. Trovalusci (1999), Inertial effects in elastic microcracked bodies, Proceedings of EURODYN 1999, L. Frýba , J. Nàprstek Edts , Balkema , Rotterdam, 501-506.
[CP7] P. M. Mariano, L. Sabatini (1999), Evolution of planar discontinuity waves in continua with microstructure, Proceedings of EURODYN 1999, L. Frýba , J. Nàprstek Edts , Balkema , Rotterdam, 433-438.
[CP6] P. M. Mariano, G. Augusti (1999), Basic topics on damage pseudo-potentials, Proceedings of Sixth Pan American Congress of Applied Mechanics, Rio de Janeiro, Brazil, January 4 th -8 th , 923-926.
[CP5] P. M. Mariano, G. Augusti (1998), Ordering and transport in generalized continua with arbitrary order parameters, Proceedings of EMMC2 Euromech-Mecamat Conference, February 22 nd -26 th , Magdeburg, 219-226.
[CP4] P. M. Mariano, P. Trovalusci (1997), Equazioni costitutive di solidi elastici microfessurati da modelli discreti e simmetrie materiali (in Italian ), Proceedings of AIMETA 1997, Siena, September 29 th - October 3 rd , 79-84.
[CP3] P. M. Mariano, P. Trovalusci (1996), Un modello costitutivo per le murature, Atti del Convegno Italiano sulle Murature tra Storia and Progetto, Messina, September 18 th -20 th , 351-360.
[CP2] P. M. Mariano (1995), Sulla dinamica hamiltoniana dei continui con struttura, Proceedings AIMETA 1995, Napoli, Castel dell'Ovo, October 3 rd -6 th , vol. 5, 93-98.
[CP1] G. Augusti , P. M. Mariano (1994), Introduction to computational methods of damage dynamics under stochastic actions, 2 nd International Conference on Computational Stochastic Mechanics, Atene , June. Paper published in Computational Stochastic Mechanics, P. D. Spanos Edt ., Balkema , Rotterdam, 1995, 665-671.

Extended summaries published in abstract books (S)
[S28] P. M. Mariano (2010), Cracks in complex materials: varifold -based description, STAMM 2010, August 29 th - September 2 nd (plenary talk).
[S27] P. M. Mariano (2010), Observers in classical field theories, CPEA-2010, Rackeve , June 3 rd -7 th (plenary talk).
[S26] P. M. Mariano (2010), Foundational aspects of the mechanics of complex materials, 9 th  GAMM Seminar on Microstructures, Stuttgart, January 22 nd -23 rd (key-note lecture).
[S25] P. M. Mariano (2009), Energies stratified over low-dimensional defects , XIX Convegno Nazionale di Calcolo delle Variazioni, Levico, February 8 th -13 rd .
[S24] P. M. Mariano (2009), Ground states of quasicrystals with magnetic order, Workshop on Calculus of Variations and Partial Differential Equations, Firenze, January 23 rd -24 th .
[S23] E. Radi , P. M. Mariano (2008), Effects of atomic rearrangements on steady crack propagation in quasicrystals , 45th Technical Meeting of the Society of Engineering Science, October 12 th -15 th , Urbana.
[S22] A. Bosi , L. Salvatori , P. M. Mariano (2007), Gross scale effects of atomic rearrangements in quasicrystals : numerical simulation and wavelet analysis, Proceedings of "Numerical Analysis: Multiscale Methods, Adaptivity and Complexity, Bath Institute for Complex Systems, September 4 th -7 th .
[S21] P. M. Mariano (2006), Representation of material elements and geometry of substructural interactions, International Congress of Mathematicians, ICM 2006, Madrid.
[S20] P. M. Mariano, F. L. Stazi (2005), Computing crack growth in quasi-periodic alloys, Symposium on ‘Computational Fracture Mechanics’ in ECF 16, Alexandroupolis (invited lecture).
[S19] P. M. Mariano (2005), Clustering and self-organization of phonon and phason modes in quasi-periodic alloys, Euromech 474: Material Instabilities in Coupled Problems, August 30 th -31 st , Troyes (invited lecture).
[S18] G. Capriz , P. M. Mariano (2004), A continuum Hamiltonian point of view on spin glasses, STAMM 2004, August 22 nd -28 th , Darmstadt.
[S17] G. Capriz , P. M. Mariano (2004), Geometric structures for the mechanics of complex bodies, SIMAI 2004, Venezia .
[S16] P. M. Mariano (2004), Dissipative changes of substructures in complex bodies, 21 st IUTAM Congress, Varsaw , August.
[S15] P. M. Mariano, G. Capriz (2003), Symmetries and Poisson structures for complex materials, 5th European Solid Mechanics Conference, August 17 th -21 st , Thessaloniki.
[S14] P. M. Mariano, F. L. Stazi , G. Augusti (2003), Semi-dense and concentrated fullerene-based composites: microdeformation and strain gradient effects, 5 th European Solid Mechanics Conference, August 17 th -21 st , Thessaloniki.
[S13] P. M. Mariano, P. Venini (2003), The optimal shape of complex bodies: influence of the modeling of material substructure, Fifth World Congress of Structural and Multidisciplinary Optimization, Venezia , May 19 th -23 rd (invited lecture).
[S12] G. Capriz , P. M. Mariano (2003), Hamiltonian structures in multifield theories of complex materials, Convegno Unione Matematica Italiana , September 8 th -12 th , Milano.
[S11] G. Capriz , P. M. Mariano (2000), An interpretation of multivariable theory of nematics , SIMAI 2000, June, Ischia (invited lecture).
[S10] P. M. Mariano, G. Augusti , F. L. Stazi , (2000), Finite elements for a multifield model of microcracked bodies, 20th IUTAM General Congress, ICTAM 2000, August 27 th - September 2 nd , Chicago.
[S9] P. M. Mariano (1998), On the expression of configurational forces in structured continua, SIMAI 1998, June, Giardini Naxos (invited lecture).
[S8] G. Augusti , P. M. Mariano (1998), Stochastic mechanical behavior of microcrack clusters in brittle materials, Proceedings of Third International Conference on Computational Stochastic Mechanics, Island of Santorini , June 14 th -17 th .
[S7] P. M. Mariano (1998), Crack propagation in structured continua, Thirteenth U.S. National Congress of Applied Mechanics Conference (Symposium on Damage in Materials and Structures Subjected to High Strain Rate Loading), University of Florida, Gainesville, June 21 st -26 th (invited lecture).
[S6] P. M. Mariano (1998), Entropies and topological pressure using actions, Secondo Microsimposio Microstrutture , Scuola Normale Superiore , Novembre 30 th -- December 1 st , Pisa (invited lecture).
[S5] P. M. Mariano, G. Augusti (1997), Remarks on foundations of damage mechanics, 3rd EUROMECH-Solid Mechanics Conference, August 18 th -22 nd , Royal Institute of Technology KTH, Stocholm .
[S4] P. Trovalusci , P. M. Mariano, G. Augusti (1997), On derivation of constitutive equations for elastic microcracked bodies from a discrete model, 3 rd EUROMECH-Solid Mechanics Conference, August 18 th -22 nd , Royal Institute of Technology KTH, Stocholm .
[S3] P. M. Mariano (1995), Local and nonlocal models of microcracked bodies, 1st. Italian-French-Polish Conference, Roma, September 5 th -8 th .
[S2] P. M. Mariano, G. Augusti (1994), Thermomechanical non-local models of Continuum Damage Mechanics, Summer Annual Meeting ASME at Los Angeles (Symposium on Recent Development on Damage Mechanics), Los Angeles, June 28 th -30 th , Abstract Book, 80.
[S1] G. Augusti , P. M. Mariano (1994), Microstructural models of damage and some non-local aspects, 2nd European Solid Mechanics Conference, Genova , September. Abstracts Book F2.
 
Reviews  
· I have published 84 reviews of books and journal papers on Mathematical Review.
· Below there is the list of books that I have reviewed on other journals:
[Rev7] Eberhard Zeidler (2009), Quantum field theory. I: Basics in mathematics and physics, Springer, Berlin (review in print in Meccanica, 46, 2011, 881-883).
[Rev6] Davide Bernardini (2009), Statica -- Un'introduzione alla meccanica delle strutture, Città Studi, Novara ( review published in Meccanica, 45, 2010, 283-284).
[Rev5] Constantine M. Dafermos (2005), Hyperbolic conservation laws in continuum physics, Springer Verlag , Berlin (review published in Meccanica , 44, 2009, 103-104).
[Rev4] Tomáš Roubícek (2004), Nonlinear partial differential equations with applications, Birkhäuser , Basel (review published in Meccanica , 42, 2007, 615-616).
[Rev3] Andrea Braides (2002), G-Convergence for beginners, Oxford University Press, Oxford (review published in Meccanica , 42, 2007, 211-212).
[Rev2] Miroslav Šilhavý (1997), The mechanics and thermodynamics of continuous media, Springer Verlag , Berlin (review published in Meccanica , 34, 1999, 469-470).
[Rev1] Dusan Krajcinovic (1996), Damage mechanics, North Holland, Amsterdam (review published in Meccanica , 35, 1998, 105-106).

F. Ph.D. Thesis
[F1]     P. M. Mariano (1997), Modelli meccanici di continui danneggiati: formulazioni ed analisi critiche, Università di Roma “ La Sapienza ”.
 
G. POPULAR PAPERS
[G3]    P. M. Mariano (2008), La materia e il colore: riflessioni sull’itinerario artistico di Luigi Mariano, riv. Franc. Cultura, 24, 73-94.
[G2]    P. M. Mariano, Quella passione per i numeri, la Repubblica (section la Repubblica di Bari), September 1 st, 2007.
[G1]    P. M. Mariano, Un matematico (giovane) alle prese con matematici (anziani). Storia di un convegno, Corriere della Sera (section Corriere del Mezzogiorno), September 13 rd, 2006.