Edit Profile (opens in new tab) Guidugli, Paolo Podio Co-Author Distance Author ID: guidugli.paolo-podio Published as: Podio-Guidugli, Paolo; Guidugli, P. Podio; Guidugli, Paolo Podio; Podio Guidugli, Paolo; Podio- Guidugli, Paolo; Podio-Guidugli, P. more...less Documents Indexed: 105 Publications since 1973, including 3 Books and 1 Additional arXiv Preprint 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 39 Co-Authors with 75 Joint Publications 941 Co-Co-Authors all top 5 Co-Authors 32 single-authored 11 Favata, Antonino 8 Colli, Pierluigi 8 Gilardi, Gianni 8 Sprekels, Jürgen 8 Vianello, Maurizio 7 Gurtin, Morton Edward 6 Paroni, Roberto 5 Capriz, Gianfranco 5 Tomassetti, Giuseppe 4 Lucchesi, Massimiliano 4 Micheletti, Andrea 4 Virga, Epifanio G. 3 Vergara Caffarelli, Giorgio 2 Bargmann, Swantje 2 Danescu, Alexandre 2 DeSimone, Antonio 2 DiCarlo, Antonıo 2 Martins, Luiz Carlos 2 Pugno, Nicola Maria 2 Seguin, Brian 1 Andreussi, Federico 1 Bajaj, Chandrajit L. 1 Bisegna, Paolo 1 Brocato, Maurizio 1 Capritz, G. 1 Davini, Cesare 1 Falach, Lior 1 Fried, Eliot 1 Giusteri, Giulio G. 1 Jaiani, George V. 1 Krejčí, Pavel 1 Lembo, Marzio 1 Miara, Bernadette 1 Nardinocchi, Paola 1 Padovani, Cristina 1 Pagni, Andrea 1 Percivale, Danilo 1 Roubíček, Tomáš 1 Selleri, Fabio all top 5 Serials 21 Journal of Elasticity 10 Meccanica 9 Archive for Rational Mechanics and Analysis 6 Continuum Mechanics and Thermodynamics 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 3 SIAM Journal on Applied Mathematics 3 European Journal of Mechanics. A. Solids 2 Journal of the Mechanics and Physics of Solids 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 Bollettino dell’Unione Matematica Italiana. Series IX 2 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Engineering Science 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of the Technical University of Istanbul 1 Journal of Differential Equations 1 Le Matematiche 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Rivista di Matematica della Università di Parma. Serie IV 1 SIAM Journal on Mathematical Analysis 1 Archive of Applied Mechanics 1 Advances in Mathematical Sciences and Applications 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications on Pure and Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bollettino della Unione Matematica Italiana. Series IV 1 Solid Mechanics and Its Applications 1 IUTAM Bookseries 1 Mathematics in Engineering 1 SISSA Springer Series all top 5 Fields 97 Mechanics of deformable solids (74-XX) 18 Partial differential equations (35-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 830 times in 568 Documents Cited by ▼ Year ▼ The thermodynamics of constrained materials. Zbl 0263.73004 Gurtin, Morton E.; Guidugli, Paolo Podio 45 1973 Configurational forces and the basic laws for crack propagation. Zbl 1054.74508 Gurtin, Morton E.; Podio-Guidugli, Paolo 40 1996 On the continuum theory of deformable ferromagnetic solids. Zbl 1002.74521 DeSimone, Antonio; Podio-Guidugli, Paolo 36 1996 Models of phase segregation and diffusion of atomic species on a lattice. Zbl 1150.74091 Podio-Guidugli, Paolo 35 2006 A regularized equation for anisotropic motion-by-curvature. Zbl 0800.73021 Di Carlo, Antonio; Gurtin, Morton E.; Podio-Guidugli, Paolo 33 1992 Hypertractions and hyperstresses convey the same mechanical information. Zbl 1257.74003 Podio-Guidugli, Paolo; Vianello, Maurizio 31 2010 A virtual power format for thermomechanics. Zbl 1234.74022 Podio-Guidugli, Paolo 29 2009 Materials with spherical structure. Zbl 0484.73002 Capriz, G.; Podio-Guidugli, P. 28 1981 Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 24 2011 A primer in elasticity. Zbl 0969.74003 Podio-Guidugli, Paolo 24 2000 Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 23 2012 A justification of the Reissner-Mindlin plate theory through variational convergence. Zbl 1109.74031 Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe 22 2007 Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving. Zbl 0955.74004 Gurtin, Morton E.; Podio-Guidugli, Paolo 22 1998 The Reissner-Mindlin plate theory via \(\Gamma\)-convergence. Zbl 1102.74031 Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe 21 2006 Inertia and invariance. Zbl 0949.74003 Podio-Guidugli, Paolo 20 1997 Elasticity for geotechnicians. A modern exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin problems. Zbl 1281.74002 Podio-Guidugli, Paolo; Favata, Antonino 17 2014 A thermodynamically consistent theory of the ferro/paramagnetic transition. Zbl 1226.82017 Podio-Guidugli, Paolo; Roubíček, Tomáš; Tomassetti, Giuseppe 16 2010 A hyperbolic theory for the evolution of plane curves. Zbl 0762.35068 Gurtin, Morton E.; Podio-Guidugli, Paolo 14 1991 Discrete and continuous bodies with affine structure. Zbl 0358.73080 Capritz, G.; Guidugli, P. Podio 13 1976 Surface interaction potentials in elasticity. Zbl 0713.73023 Podio-Guidugli, Paolo; Vergara Caffarelli, Giorgio 13 1990 Inertial and self interactions in structured continua: Liquid crystals and magnetostrictive solids. Zbl 0835.73060 DeSimone, Antonio; Podio Guidugli, Paolo 12 1995 Formal structure and classification of theories of oriented materials. Zbl 0374.73005 Capriz, G.; Guidugli, P. Podio 12 1978 An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 12 2013 Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 12 2013 On configurational inertial forces at a phase interface. Zbl 0945.74663 Gurtin, Morton E.; Podio-Guidugli, Paolo 11 1996 Materials with elastic range: A theory with a view toward applications. II. Zbl 0767.73023 Lucchesi, Massimiliano; Podio-Guidugli, Paolo 10 1990 Constrained elasticity. Zbl 0726.73030 Podio-Guidugli, Paolo 10 1990 On the evolution of domain walls in hard ferromagnets. Zbl 1058.35058 Podio-Guidugli, Paolo; Tomassetti, Giuseppe 10 2004 Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 10 2012 Materials with elastic range: A theory with a view toward applications. I. Zbl 0659.73037 Lucchesi, Massimiliano; Podio-Guidugli, Paolo 9 1988 A variational approach to the polar decomposition theorem. Zbl 0474.73036 Martins, Luiz Carlos; Podio-Guidugli, Paolo 9 1979 On Signorini’s perturbation method in finite elasticity. Zbl 0315.73062 Capriz, Gianfranco; Guidugli, Paolo Podio 9 1974 The role of Fredholm conditions in Signorini’s perturbation method. Zbl 0433.73035 Capriz, G.; Guidugli, P. Podio 9 1979 De Giorgi’s counterexample in elasticity. Zbl 0351.73022 Guidugli, Paolo Podio 8 1977 On the formulation of mechanical balance laws for structured continua. Zbl 0782.73067 Gurtin, Morton E.; Podio-Guidugli, Paolo 8 1992 The representation problem of constrained linear elasticity. Zbl 0765.73012 Podio-Guidugli, Paolo; Vianello, Maurizio 8 1992 On a nanoscopically-informed shell theory of single-wall carbon nanotubes. Zbl 1406.74464 Bajaj, Chandrajit; Favata, Antonino; Podio-Guidugli, Paolo 8 2013 Constraint and scaling methods to derive shell theory from three- dimensional elasticity. Zbl 0732.73040 Podio-Guidugli, Paolo 7 1990 On the validation of theories of thin elastic structures. Zbl 1375.74064 Podio-Guidugli, Paolo 7 2014 On (Andersen-)Parrinello-Rahman molecular dynamics, the related metadynamics, and the use of the Cauchy-Born rule. Zbl 1272.74015 Podio-Guidugli, Paolo 7 2010 A primer in elasticity. Repr. from J. Elasticity 58, No. 1 (2000). Zbl 0989.74002 Podio-Guidugli, Paolo 6 2000 On variational dimension reduction in structure mechanics. Zbl 1305.74016 Paroni, Roberto; Podio-Guidugli, Paolo 6 2015 On energy and entropy influxes in the Green-Naghdi type III theory of heat conduction. Zbl 1320.74009 Bargmann, Swantje; Favata, Antonino; Podio-Guidugli, Paolo 6 2013 A revised exposition of the Green-Naghdi theory of heat propagation. Zbl 1284.35433 Bargmann, Swantje; Favata, Antonino; Podio-Guidugli, Paolo 6 2014 Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 5 2010 On concentrated contact interactions. Zbl 1097.74047 Podio-Guidugli, Paolo 5 2006 Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019 Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen 5 2014 On the modeling of transport phenomena in continuum and statistical mechanics. Zbl 1366.82031 Podio-Guidugli, Paolo 5 2017 A shell theory for chiral single-wall carbon nanotubes. Zbl 1406.74159 Favata, Antonino; Podio-Guidugli, Paolo 5 2014 How to use reactive stresses to improve plate-theory approximations of the stress field in a linearly elastic plate-like body. Zbl 1126.74027 Lembo, Marzio; Podio-Guidugli, Paolo 4 2007 Equivalent dissipation postulates in classical plasticity. Zbl 0709.73018 Lucchesi, Massimiliano; Podio-Guidugli, Paolo 4 1990 A general linear theory of elastic plates and its variational validation. Zbl 1170.74030 Percivale, Danilo; Podio-Guidugli, Paolo 4 2009 A new CNT-oriented shell theory. Zbl 1349.74251 Favata, Antonino; Podio-Guidugli, Paolo 4 2012 On a stress-power-based characterization of second-gradient elastic fluids. Zbl 1343.76002 Podio-Guidugli, Paolo; Vianello, Maurizio 4 2013 A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 4 2010 Continuum thermodynamics. Zbl 1426.80001 Podio-Guidugli, Paolo 4 2019 Validation of classical beam and plate models by variational convergence. Zbl 1208.74076 Podio-Guidugli, Paolo 3 2008 Peeling tapes. Zbl 1192.74023 Podio-Guidugli, Paolo 3 2005 A new quasilinear model for plate buckling. Zbl 1156.74327 Podio-Guidugli, Paolo 3 2003 Internal constraints and linear constitutive relations for transversely isotropic materials. Zbl 0744.73008 Podio-Guidugli, Paolo; Vianello, Maurizio 3 1991 Linearization of response mappings in constrained elasticity. Zbl 0808.73013 Podio-Guidugli, Paolo; Vianello, Maurizio 3 1994 Geometry and self-stress of single-wall carbon nanotubes and graphene via a discrete model based on a 2nd-generation REBO potential. Zbl 1348.74236 Favata, Antonino; Micheletti, Andrea; Podio-Guidugli, Paolo; Pugno, Nicola M. 3 2016 On the nonlocal curvatures of surfaces with or without boundary. Zbl 1386.35451 Paroni, Roberto; Podio-Guidugli, Paolo; Seguin, Brian 3 2018 A justification of the Timoshenko beam model through \(\Gamma\)-convergence. Zbl 1356.74104 Falach, Lior; Paroni, Roberto; Podio-Guidugli, Paolo 3 2017 A notion of nonlocal Gaussian curvature. Zbl 1348.49044 Podio-Guidugli, Paolo 3 2016 A nonlinear theory of prestressed elastic stick-and-spring structures. Zbl 1423.74034 Favata, Antonino; Micheletti, Andrea; Podio-Guidugli, Paolo 3 2014 A unified formal approach for theories of linear elastic plates and rods. (Une approche formelle unifiée des théories de plaques et poutres linéairement élastiques.) Zbl 1108.74036 Miara, Bernadette; Podio-Guidugli, Paolo 2 2006 Equilibrium phases and layered phase mixtures in elasticity. Zbl 0772.73005 Podio-Guidugli, Paolo; Caffarelli, Giorgio Vergara 2 1992 Cauchy’s construction for flat complex bodies. Zbl 1305.74009 Podio-Guidugli, Paolo 2 2015 For a statistical interpretation of Helmholtz’ thermal displacement. Zbl 1365.80002 Podio-Guidugli, Paolo 2 2016 IUTAM symposium on relations of shell, plate, beam and 3D models. Proceedings of the IUTAM symposium on the relations of shell, plate, beam, and 3D models, dedicated to the centenary of Ilia Vekua’s birth, held Tbilisi, Georgia, April 23–27, 2007. Zbl 1146.74003 2 2008 On energy and entropy inflows in the theory of heat conduction. Zbl 1347.74029 Podio-Guidugli, Paolo 2 2015 On shear and torsion factors in the theory of linearly elastic rods. Zbl 1304.74034 Favata, Antonino; Micheletti, Andrea; Podio-Guidugli, Paolo 2 2010 From point particles to body points. Zbl 1505.74001 DiCarlo, Antonio; Podio-Guidugli, Paolo 2 2022 Scientific life and works of Walter Noll. Zbl 1415.01018 Podio-Guidugli, Paolo; Virga, Epifanio G. 2 2019 Energy splitting theorems for materials with memory. Zbl 1254.74027 Favata, Antonino; Podio-Guidugli, Paolo; Tomassetti, Giuseppe 1 2010 On the basic laws of reacting mixtures of structures continua. Zbl 0337.73003 Capriz, Gianfranco; Guidugli, Paolo Podio 1 1974 Material stability restrictions on the response function in finite elasticity. Zbl 0286.73037 Guidugli, Paolo Podio; Selleri, Fabio 1 1974 A geometrical interpretation of monotonicity of matrices. Zbl 0327.15025 Andreussi, Federico; Podio Guidugli, Paolo 1 1974 On the choice of inertial interactions in microstructured continua. Zbl 1225.74014 Podio-Guidugli, Paolo 1 2003 Polyconvex energies and symmetry requirements. Zbl 0756.73036 Podio-Guidugli, Paolo 1 1991 Una caratterizzazione variazionale della vorticita. Zbl 0431.73038 Martins, L. C.; Guidugli, P. Podio 1 1979 Some qualitative aspects in structural stability. Zbl 0442.73041 Davini, C.; Guidugli, P. Podio 1 1979 Materials with elastic range and plastic change of volume. Zbl 0780.73024 Lucchesi, Massimiliano; Padovani, Cristina; Pagni, Andrea; Podio- Guidugli, Paolo 1 1993 How graphene flexes and stretches under concomitant bending couples and tractions. Zbl 1469.74008 Favata, Antonino; Micheletti, Andrea; Podio-Guidugli, Paolo; Pugno, Nicola M. 1 2017 On the mechanical modeling of matter, molecular and continuum. Zbl 1412.74006 Podio-Guidugli, Paolo 1 2019 From point particles to body points. Zbl 1505.74001 DiCarlo, Antonio; Podio-Guidugli, Paolo 2 2022 Continuum thermodynamics. Zbl 1426.80001 Podio-Guidugli, Paolo 4 2019 Scientific life and works of Walter Noll. Zbl 1415.01018 Podio-Guidugli, Paolo; Virga, Epifanio G. 2 2019 On the mechanical modeling of matter, molecular and continuum. Zbl 1412.74006 Podio-Guidugli, Paolo 1 2019 On the nonlocal curvatures of surfaces with or without boundary. Zbl 1386.35451 Paroni, Roberto; Podio-Guidugli, Paolo; Seguin, Brian 3 2018 On the modeling of transport phenomena in continuum and statistical mechanics. Zbl 1366.82031 Podio-Guidugli, Paolo 5 2017 A justification of the Timoshenko beam model through \(\Gamma\)-convergence. Zbl 1356.74104 Falach, Lior; Paroni, Roberto; Podio-Guidugli, Paolo 3 2017 How graphene flexes and stretches under concomitant bending couples and tractions. Zbl 1469.74008 Favata, Antonino; Micheletti, Andrea; Podio-Guidugli, Paolo; Pugno, Nicola M. 1 2017 Geometry and self-stress of single-wall carbon nanotubes and graphene via a discrete model based on a 2nd-generation REBO potential. Zbl 1348.74236 Favata, Antonino; Micheletti, Andrea; Podio-Guidugli, Paolo; Pugno, Nicola M. 3 2016 A notion of nonlocal Gaussian curvature. Zbl 1348.49044 Podio-Guidugli, Paolo 3 2016 For a statistical interpretation of Helmholtz’ thermal displacement. Zbl 1365.80002 Podio-Guidugli, Paolo 2 2016 On variational dimension reduction in structure mechanics. Zbl 1305.74016 Paroni, Roberto; Podio-Guidugli, Paolo 6 2015 Cauchy’s construction for flat complex bodies. Zbl 1305.74009 Podio-Guidugli, Paolo 2 2015 On energy and entropy inflows in the theory of heat conduction. Zbl 1347.74029 Podio-Guidugli, Paolo 2 2015 Elasticity for geotechnicians. A modern exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin problems. Zbl 1281.74002 Podio-Guidugli, Paolo; Favata, Antonino 17 2014 On the validation of theories of thin elastic structures. Zbl 1375.74064 Podio-Guidugli, Paolo 7 2014 A revised exposition of the Green-Naghdi theory of heat propagation. Zbl 1284.35433 Bargmann, Swantje; Favata, Antonino; Podio-Guidugli, Paolo 6 2014 Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system. Zbl 1302.35019 Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen 5 2014 A shell theory for chiral single-wall carbon nanotubes. Zbl 1406.74159 Favata, Antonino; Podio-Guidugli, Paolo 5 2014 A nonlinear theory of prestressed elastic stick-and-spring structures. Zbl 1423.74034 Favata, Antonino; Micheletti, Andrea; Podio-Guidugli, Paolo 3 2014 An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 12 2013 Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity. Zbl 1325.35105 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 12 2013 On a nanoscopically-informed shell theory of single-wall carbon nanotubes. Zbl 1406.74464 Bajaj, Chandrajit; Favata, Antonino; Podio-Guidugli, Paolo 8 2013 On energy and entropy influxes in the Green-Naghdi type III theory of heat conduction. Zbl 1320.74009 Bargmann, Swantje; Favata, Antonino; Podio-Guidugli, Paolo 6 2013 On a stress-power-based characterization of second-gradient elastic fluids. Zbl 1343.76002 Podio-Guidugli, Paolo; Vianello, Maurizio 4 2013 Distributed optimal control of a nonstandard system of phase field equations. Zbl 1260.49031 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 23 2012 Global existence for a strongly coupled Cahn-Hilliard system with viscosity. Zbl 1285.35080 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 10 2012 A new CNT-oriented shell theory. Zbl 1349.74251 Favata, Antonino; Podio-Guidugli, Paolo 4 2012 Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system. Zbl 1331.74011 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 24 2011 Hypertractions and hyperstresses convey the same mechanical information. Zbl 1257.74003 Podio-Guidugli, Paolo; Vianello, Maurizio 31 2010 A thermodynamically consistent theory of the ferro/paramagnetic transition. Zbl 1226.82017 Podio-Guidugli, Paolo; Roubíček, Tomáš; Tomassetti, Giuseppe 16 2010 On (Andersen-)Parrinello-Rahman molecular dynamics, the related metadynamics, and the use of the Cauchy-Born rule. Zbl 1272.74015 Podio-Guidugli, Paolo 7 2010 Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type. Zbl 1263.74038 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 5 2010 A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027 Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen 4 2010 On shear and torsion factors in the theory of linearly elastic rods. Zbl 1304.74034 Favata, Antonino; Micheletti, Andrea; Podio-Guidugli, Paolo 2 2010 Energy splitting theorems for materials with memory. Zbl 1254.74027 Favata, Antonino; Podio-Guidugli, Paolo; Tomassetti, Giuseppe 1 2010 A virtual power format for thermomechanics. Zbl 1234.74022 Podio-Guidugli, Paolo 29 2009 A general linear theory of elastic plates and its variational validation. Zbl 1170.74030 Percivale, Danilo; Podio-Guidugli, Paolo 4 2009 Validation of classical beam and plate models by variational convergence. Zbl 1208.74076 Podio-Guidugli, Paolo 3 2008 IUTAM symposium on relations of shell, plate, beam and 3D models. Proceedings of the IUTAM symposium on the relations of shell, plate, beam, and 3D models, dedicated to the centenary of Ilia Vekua’s birth, held Tbilisi, Georgia, April 23–27, 2007. Zbl 1146.74003 2 2008 A justification of the Reissner-Mindlin plate theory through variational convergence. Zbl 1109.74031 Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe 22 2007 How to use reactive stresses to improve plate-theory approximations of the stress field in a linearly elastic plate-like body. Zbl 1126.74027 Lembo, Marzio; Podio-Guidugli, Paolo 4 2007 Models of phase segregation and diffusion of atomic species on a lattice. Zbl 1150.74091 Podio-Guidugli, Paolo 35 2006 The Reissner-Mindlin plate theory via \(\Gamma\)-convergence. Zbl 1102.74031 Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe 21 2006 On concentrated contact interactions. Zbl 1097.74047 Podio-Guidugli, Paolo 5 2006 A unified formal approach for theories of linear elastic plates and rods. (Une approche formelle unifiée des théories de plaques et poutres linéairement élastiques.) Zbl 1108.74036 Miara, Bernadette; Podio-Guidugli, Paolo 2 2006 Peeling tapes. Zbl 1192.74023 Podio-Guidugli, Paolo 3 2005 On the evolution of domain walls in hard ferromagnets. Zbl 1058.35058 Podio-Guidugli, Paolo; Tomassetti, Giuseppe 10 2004 A new quasilinear model for plate buckling. Zbl 1156.74327 Podio-Guidugli, Paolo 3 2003 On the choice of inertial interactions in microstructured continua. Zbl 1225.74014 Podio-Guidugli, Paolo 1 2003 A primer in elasticity. Zbl 0969.74003 Podio-Guidugli, Paolo 24 2000 A primer in elasticity. Repr. from J. Elasticity 58, No. 1 (2000). Zbl 0989.74002 Podio-Guidugli, Paolo 6 2000 Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving. Zbl 0955.74004 Gurtin, Morton E.; Podio-Guidugli, Paolo 22 1998 Inertia and invariance. Zbl 0949.74003 Podio-Guidugli, Paolo 20 1997 Configurational forces and the basic laws for crack propagation. Zbl 1054.74508 Gurtin, Morton E.; Podio-Guidugli, Paolo 40 1996 On the continuum theory of deformable ferromagnetic solids. Zbl 1002.74521 DeSimone, Antonio; Podio-Guidugli, Paolo 36 1996 On configurational inertial forces at a phase interface. Zbl 0945.74663 Gurtin, Morton E.; Podio-Guidugli, Paolo 11 1996 Inertial and self interactions in structured continua: Liquid crystals and magnetostrictive solids. Zbl 0835.73060 DeSimone, Antonio; Podio Guidugli, Paolo 12 1995 Linearization of response mappings in constrained elasticity. Zbl 0808.73013 Podio-Guidugli, Paolo; Vianello, Maurizio 3 1994 Materials with elastic range and plastic change of volume. Zbl 0780.73024 Lucchesi, Massimiliano; Padovani, Cristina; Pagni, Andrea; Podio- Guidugli, Paolo 1 1993 A regularized equation for anisotropic motion-by-curvature. Zbl 0800.73021 Di Carlo, Antonio; Gurtin, Morton E.; Podio-Guidugli, Paolo 33 1992 On the formulation of mechanical balance laws for structured continua. Zbl 0782.73067 Gurtin, Morton E.; Podio-Guidugli, Paolo 8 1992 The representation problem of constrained linear elasticity. Zbl 0765.73012 Podio-Guidugli, Paolo; Vianello, Maurizio 8 1992 Equilibrium phases and layered phase mixtures in elasticity. Zbl 0772.73005 Podio-Guidugli, Paolo; Caffarelli, Giorgio Vergara 2 1992 A hyperbolic theory for the evolution of plane curves. Zbl 0762.35068 Gurtin, Morton E.; Podio-Guidugli, Paolo 14 1991 Internal constraints and linear constitutive relations for transversely isotropic materials. Zbl 0744.73008 Podio-Guidugli, Paolo; Vianello, Maurizio 3 1991 Polyconvex energies and symmetry requirements. Zbl 0756.73036 Podio-Guidugli, Paolo 1 1991 Surface interaction potentials in elasticity. Zbl 0713.73023 Podio-Guidugli, Paolo; Vergara Caffarelli, Giorgio 13 1990 Materials with elastic range: A theory with a view toward applications. II. Zbl 0767.73023 Lucchesi, Massimiliano; Podio-Guidugli, Paolo 10 1990 Constrained elasticity. Zbl 0726.73030 Podio-Guidugli, Paolo 10 1990 Constraint and scaling methods to derive shell theory from three- dimensional elasticity. Zbl 0732.73040 Podio-Guidugli, Paolo 7 1990 Equivalent dissipation postulates in classical plasticity. Zbl 0709.73018 Lucchesi, Massimiliano; Podio-Guidugli, Paolo 4 1990 Materials with elastic range: A theory with a view toward applications. I. Zbl 0659.73037 Lucchesi, Massimiliano; Podio-Guidugli, Paolo 9 1988 Materials with spherical structure. Zbl 0484.73002 Capriz, G.; Podio-Guidugli, P. 28 1981 A variational approach to the polar decomposition theorem. Zbl 0474.73036 Martins, Luiz Carlos; Podio-Guidugli, Paolo 9 1979 The role of Fredholm conditions in Signorini’s perturbation method. Zbl 0433.73035 Capriz, G.; Guidugli, P. Podio 9 1979 Una caratterizzazione variazionale della vorticita. Zbl 0431.73038 Martins, L. C.; Guidugli, P. Podio 1 1979 Some qualitative aspects in structural stability. Zbl 0442.73041 Davini, C.; Guidugli, P. Podio 1 1979 Formal structure and classification of theories of oriented materials. Zbl 0374.73005 Capriz, G.; Guidugli, P. Podio 12 1978 De Giorgi’s counterexample in elasticity. Zbl 0351.73022 Guidugli, Paolo Podio 8 1977 Discrete and continuous bodies with affine structure. Zbl 0358.73080 Capritz, G.; Guidugli, P. Podio 13 1976 On Signorini’s perturbation method in finite elasticity. Zbl 0315.73062 Capriz, Gianfranco; Guidugli, Paolo Podio 9 1974 On the basic laws of reacting mixtures of structures continua. Zbl 0337.73003 Capriz, Gianfranco; Guidugli, Paolo Podio 1 1974 Material stability restrictions on the response function in finite elasticity. Zbl 0286.73037 Guidugli, Paolo Podio; Selleri, Fabio 1 1974 A geometrical interpretation of monotonicity of matrices. Zbl 0327.15025 Andreussi, Federico; Podio Guidugli, Paolo 1 1974 The thermodynamics of constrained materials. Zbl 0263.73004 Gurtin, Morton E.; Guidugli, Paolo Podio 45 1973 all cited Publications top 5 cited Publications all top 5 Cited by 618 Authors 48 Guidugli, Paolo Podio 31 Colli, Pierluigi 27 Gilardi, Gianni 23 Sprekels, Jürgen 20 Roubíček, Tomáš 19 Tomassetti, Giuseppe 17 Podio-Guidugli, Paulo 14 Favata, Antonino 12 Paroni, Roberto 11 Neff, Patrizio 9 Capriz, Gianfranco 8 Fried, Eliot 8 Schlömerkemper, Anja 8 Vianello, Maurizio 7 Altenbach, Holm 7 Bîrsan, Mircea 7 Kružík, Martin 7 Steinmann, Paul 7 Wang, Zenggui 6 Daví, Fabrizio 6 dell’Isola, Francesco 6 Fosdick, Roger L. 6 Gurtin, Morton Edward 6 Marsden, Jerrold Eldon 6 Percivale, Danilo 5 Benešová, Barbora 5 Gupta, Anurag P. 5 Javili, Ali 5 McBride, Andrew T. 5 Seguin, Brian 5 Simha, N. K. 5 Voigt, Axel 5 Zheng, Jiashan 4 Consolo, Giancarlo 4 Eremeyev, Victor A. 4 Fischer, Franz Dieter 4 Garcke, Harald 4 Giovine, Pasquale 4 Haldar, Krishnendu 4 He, Qilin 4 Kolednik, Otmar 4 Lucchesi, Massimiliano 4 Maddalena, Francesco 4 Marinoschi, Gabriela 4 Morini, Massimiliano 4 Oliveri, Francesco 4 Pandey, Animesh 4 Reddy, B. Dayanand 4 Rocca, Elisabetta 4 Signori, Andrea 4 Stefanelli, Ulisse 4 Steigmann, David J. 4 Valenti, Giovanna 4 Virga, Epifanio G. 4 Wan, Yieh-Hei 4 Wise, Steven M. 4 Wu, Linzhi 4 Zdunek, Adam 3 Barretta, Raffaele 3 Bonetti, Elena 3 Chillingworth, D. R. J. 3 Coclite, Giuseppe Maria 3 Coombs, William M. 3 Davini, Cesare 3 DeSimone, Antonio 3 Di Ruvo, Lorenzo 3 DiCarlo, Antonıo 3 Dubey, Shruti A. 3 Duda, Fernando Pereira 3 Dwivedi, Sharad 3 Eugster, Simon Raphael 3 Fonseca, Irene 3 Fusco, Nicola 3 Gay-Balmaz, François 3 Ghiba, Ionel-Dumitrel 3 Giorgi, Claudio 3 Harrison, Jenny C. 3 Iesan, Dorin 3 Jeong, Jena 3 Lagoudas, Dimitris C. 3 Lam, Kei Fong 3 Lembo, Marzio 3 Leoni, Giovanni 3 Li, Ming 3 Madeo, Angela 3 Mainini, Edoardo 3 Mariano, Paolo Maria 3 Micheletti, Andrea 3 Miehe, Christian 3 Miranville, Alain M. 3 Moser, Roger 3 Nürnberg, Robert 3 Pei, Pei 3 Pugh, Harrison 3 Pugno, Nicola Maria 3 Rachowicz, Waldemar 3 Romano, Giovanni P. 3 Šilhavý, Miroslav 3 Sivakumar, Srinivasan M. 3 Soldatos, Dimitris ...and 518 more Authors all top 5 Cited in 120 Serials 76 Journal of Elasticity 41 Archive for Rational Mechanics and Analysis 32 Mathematics and Mechanics of Solids 28 Continuum Mechanics and Thermodynamics 23 Meccanica 21 Journal of the Mechanics and Physics of Solids 18 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Acta Mechanica 16 International Journal of Engineering Science 14 European Journal of Mechanics. A. Solids 13 Computer Methods in Applied Mechanics and Engineering 13 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 11 Journal of Mathematical Analysis and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Computational Physics 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Computational Mechanics 7 Archive of Applied Mechanics 6 Journal of Differential Equations 6 Calculus of Variations and Partial Differential Equations 6 Discrete and Continuous Dynamical Systems. Series S 5 International Journal for Numerical Methods in Engineering 5 Applied Mathematical Modelling 4 Computers & Mathematics with Applications 4 International Journal of Solids and Structures 4 Journal of Engineering Mathematics 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Optimization 4 Physica D 4 Archives of Computational Methods in Engineering 4 Discrete and Continuous Dynamical Systems. Series B 4 International Journal of Fracture 4 Evolution Equations and Control Theory 3 SIAM Journal on Control and Optimization 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Analysis and Applications (Singapore) 2 International Journal of Control 2 Reports on Mathematical Physics 2 Wave Motion 2 Mathematics and Computers in Simulation 2 Mathematische Zeitschrift 2 Rendiconti del Seminario Matematico della Università di Padova 2 Acta Applicandae Mathematicae 2 Numerical Methods for Partial Differential Equations 2 European Journal of Applied Mathematics 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Nonlinear Science 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Nonlinear Analysis. Real World Applications 2 Mediterranean Journal of Mathematics 2 Acta Mechanica Sinica 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 Mathematical Control and Related Fields 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 AIMS Mathematics 1 Applicable Analysis 1 Archives of Mechanics 1 Communications in Mathematical Physics 1 International Journal of Plasticity 1 Inverse Problems 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Journal of Geometry and Physics 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Calcolo 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 Journal of Non-Equilibrium Thermodynamics 1 SIAM Review 1 Acta Mechanica Sinica. (English Edition) 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Engineering Analysis with Boundary Elements 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Journal of Applied Mechanics and Technical Physics 1 Discrete Dynamics in Nature and Society 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Nonlinear Analysis. Modelling and Control 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis ...and 20 more Serials all top 5 Cited in 35 Fields 447 Mechanics of deformable solids (74-XX) 143 Partial differential equations (35-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 50 Statistical mechanics, structure of matter (82-XX) 44 Fluid mechanics (76-XX) 36 Classical thermodynamics, heat transfer (80-XX) 32 Numerical analysis (65-XX) 21 Differential geometry (53-XX) 17 Optics, electromagnetic theory (78-XX) 14 Global analysis, analysis on manifolds (58-XX) 14 Mechanics of particles and systems (70-XX) 10 History and biography (01-XX) 8 Biology and other natural sciences (92-XX) 7 Operator theory (47-XX) 6 Integral equations (45-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functional analysis (46-XX) 5 Geophysics (86-XX) 5 Systems theory; control (93-XX) 4 Manifolds and cell complexes (57-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year