Edit Profile (opens in new tab) Ponte Castañeda, Pedro Compute Distance To: Compute Author ID: ponte-castaneda.pedro Published as: Ponte Castañeda, P.; Ponte Castañeda, Pedro; Castañeda, Pedro Ponte; Castañeda, P. Ponte; Ponte Castañ eda, P.; Ponte-Castañeda, Pedro; Ponte Castaneda, P.; Ponte-Castañeda, P. more...less Homepage: https://www.seas.upenn.edu/directory/profile.php?ID=73 External Links: MGP · Google Scholar Documents Indexed: 101 Publications since 1986 2 Contributions as Editor Co-Authors: 54 Co-Authors with 83 Joint Publications 870 Co-Co-Authors all top 5 Co-Authors 20 single-authored 14 Lopez-Pamies, Oscar 12 Idiart, Martín I. 7 Suquet, Pierre-Marie 5 Danas, Kostas 5 Willis, John Raymond 4 deBotton, Gal 4 Kailasam, M. 4 Liu, Yi 4 Nebozhyn, Michael V. 4 Siboni, Morteza Hakimi 3 Agoras, M. 3 Avazmohammadi, Reza 3 Bornert, Michel 3 Gilormini, Pierre 3 Zaidman, M. 2 Aravas, Nikolaos 2 Gao, Tong 2 Hu, Howard H. 2 Masson, Renaud 2 Michel, Jean-Claude 2 Pellegrini, Yves-Patrick 2 Tiberio, Emilio 2 Triantafyllidis, Nicolas 2 Willot, François 1 Bennetts, Luke G. 1 Briggs, J. P. 1 Cavaillé, J.-Y. 1 Chabert, E. 1 Cheng, Cao 1 Cherkaev, Elena 1 Eisenman, Ian 1 Feltham, Daniel L. 1 Galipeau, E. 1 Gambin, Barbara 1 Golden, Kenneth M. 1 Horvat, Christopher 1 Hunke, Elizabeth C. 1 Jones, Christopher K. R. T. 1 Kammer, Christoph 1 Lahellec, Noël 1 Lebensohn, Ricardo A. 1 Li, Guoan 1 Mataga, Peter A. 1 Moulinec, Hervé 1 Pastor, Joseph 1 Perovich, Donald K. 1 Racherla, V. 1 Sofronis, P. 1 Strong, Courtenay 1 Subramanian, S. J. 1 Sulsky, Deborah L. 1 Telega, Józef Joachim 1 Wells, Andrew J. 1 Zaoui, André all top 5 Serials 34 Journal of the Mechanics and Physics of Solids 11 International Journal of Solids and Structures 10 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 5 Comptes Rendus. Mécanique. Académie des Sciences, Paris 4 Journal of Applied Mechanics 4 Journal of Fluid Mechanics 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 European Journal of Mechanics. A. Solids 2 Journal of Elasticity 2 Mathematics and Mechanics of Solids 1 Computer Methods in Applied Mechanics and Engineering 1 Physics Letters. A 1 European Journal of Mechanics. A. Solids 1 SIAM Journal on Applied Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Notices of the American Mathematical Society 1 Philosophical Transactions of the Royal Society of London. Series A 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique, Physique, Astronomie 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique 1 NATO Science Series II: Mathematics, Physics and Chemistry 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 96 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 1,456 times in 549 Documents Cited by ▼ Year ▼ The effective mechanical properties of nonlinear isotropic composites. Zbl 0734.73052Ponte Castañeda, P. 156 1991 Nonlinear composites. Zbl 0889.73049Ponte Castañeda, Pedro; Suquet, Pierre 126 1998 The effect of spatial distribution on the effective behavior of composite materials and cracked media. Zbl 0919.73061Ponte Castañeda, P.; Willis, J. R. 118 1995 Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. Zbl 1054.74708Ponte Castañeda, P. 75 1996 Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory. Zbl 1116.74412Ponte Castañeda, Pedro 74 2002 New variational principles in plasticity and their application to composite materials. Zbl 0764.73103Ponte Castañeda, P. 56 1992 On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. I: Theory. Zbl 1120.74726Lopez-Pamies, O.; Ponte Castañeda, P. 33 2006 A second-order homogenization method in finite elasticity and applications to black-filled elastomers. Zbl 0984.74070Ponte Castañeda, P.; Tiberio, E. 28 2000 The overall constitutive behaviour of nonlinearly elastic composites. Zbl 0673.73005Ponte Castañeda, P. 28 1989 Macroscopic behavior and field fluctuations in viscoplastic composites: second-order estimates versus full-field simulations. Zbl 1120.74720Idiart, M. I.; Moulinec, H.; Ponte Castañeda, P.; Suquet, P. 27 2006 Microscopic and macroscopic instabilities in finitely strained porous elastomers. Zbl 1170.74018Michel, J. C.; Lopez-Pamies, O.; Ponte Castañeda, P.; Triantafyllidis, N. 27 2007 Homogenization-based constitutive models for magnetorheological elastomers at finite strain. Zbl 1270.74075Ponte Castañeda, P.; Galipeau, E. 27 2011 Constitutive models for porous materials with evolving microstructure. Zbl 0823.73004Ponte Castañeda, P.; Zaidman, M. 26 1994 On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. II: Application to cylindrical fibers. Zbl 1120.74727Lopez-Pamies, O.; Ponte Castañeda, P. 25 2006 Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II: Applications. Zbl 1116.74411Ponte Castañeda, Pedro 24 2002 A general constitutive theory for linear and nonlinear particulate media with microstructure evolution. Zbl 0974.74502Kailasam, M.; Ponte Castañeda, P. 23 1998 Variational second-order estimates for nonlinear composites. Zbl 0984.74071Ponte Castañeda, P.; Willis, J. R. 23 1999 Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations. Zbl 1086.74032Lopez-Pamies, Oscar; Ponte Castañeda, Pedro 22 2004 Bounds and estimates for the properties of nonlinear heterogeneous systems. Zbl 0776.73062Ponte Castañeda, P. 18 1992 A finite-strain model for anisotropic viscoplastic porous media. I : Theory. Zbl 1158.74445Danas, K.; Ponte Castañeda, P. 18 2009 A homogenization-based constitutive model for isotropic viscoplastic porous media. Zbl 1169.74384Danas, K.; Idiart, M. I.; Ponte Castañeda, P. 18 2008 Variational estimates for the creep behaviour of polycrystals. Zbl 0829.73077DeBotton, G.; Ponte Castañeda, P. 17 1995 Field statistics in nonlinear composites. I: Theory. Zbl 1129.74036Idiart, Martín I.; Ponte Castañeda, Pedro 17 2007 Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers. Zbl 1225.74029Michel, J. C.; Lopez-Pamies, O.; Castañeda, P. Ponte; Triantafyllidis, N. 16 2010 Small-contrast perturbation expansions for the effective properties of nonlinear composites. Zbl 0844.73052Suquet, Pierre; Ponte Castañeda, Pedro 15 1993 On the overall properties of nonlinearly viscous composites. Zbl 0635.73006Ponte Castañeda, P.; Willis, J. R. 15 1988 Numerical methods for porous metals with deformation-induced anisotropy. Zbl 1068.74068Aravas, N.; Ponte Castañeda, P. 15 2004 Homogenization estimates for fiber-reinforced elastomers with periodic microstructures. Zbl 1186.74095Brun, M.; Lopez-Pamies, O.; Ponte Castañeda, P. 14 2007 Macroscopic properties and field fluctuations in model power-law polycrystals: Full-field solutions versus self-consistent estimates. Zbl 1079.74053Lebensohn, R. A.; Liu, Y.; Ponte Castañeda, P. 14 2004 Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis. Zbl 1328.74041Siboni, Morteza Hakimi; Ponte Castañeda, Pedro 14 2014 A new variational principle and its application to nonlinear heterogeneous systems. Zbl 0759.73064Ponte Castañeda, P. 13 1992 Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. I: Analysis. Zbl 1176.74150Lopez-Pamies, O.; Ponte Castañ eda, P. 13 2007 Yield criteria for porous media in plane strain: second-order estimates versus numerical results. Zbl 1372.74022Pastor, Joseph; Ponte Castañeda, Pedro 13 2002 Second-order homogenization estimates incorporating field fluctuations in finite elasticity. Zbl 1095.74026Lopez-Pamies, O.; Ponte Castañeda, P. 13 2004 On the homogenized yield strength of two-phase composites. Zbl 0768.73006Ponte Castañeda, P.; deBotton, G. 12 1992 A general hyperelastic model for incompressible fiber-reinforced elastomers. Zbl 1197.74025Agoras, M.; Lopez-Pamies, O.; Ponte Castañeda, P. 12 2009 Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading. Zbl 1327.74048Siboni, Morteza H.; Avazmohammadi, Reza; Castañeda, Pedro Ponte 12 2015 Asymptotic fields in steady crack growth with linear strain-hardening. Zbl 0601.73101Ponte Castañeda, P. 11 1987 Variational linear comparison bounds for nonlinear composites with anisotropic phases. I: General results. Zbl 1134.74043Idiart, Martín I.; Ponte Castañeda, Pedro 10 2007 Elastoplastic constitutive relations for fiber-reinforced solids. Zbl 0782.73006deBotton, G.; Ponte Castañeda, P. 10 1993 Variational estimates of the self-consistent type for the effective behaviour of some model nonlinear polycrystals. Zbl 0914.73080Ponte Castañeda, P.; Nebozhyn, M. V. 10 1997 Onset of macroscopic instabilities in fiber-reinforced elastomers at finite strain. Zbl 1193.74026Agoras, M.; Lopez-Pamies, O.; Castañeda, P. Ponte 10 2009 Nonlinear composite materials: Effective constitutive behavior and microstructure evolution. Zbl 0883.73050Ponte Castañeda, P. 9 1997 The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. I: Theory. Zbl 1067.74559Kailasam, M.; Ponte Castañeda, P.; Willis, J. R. 9 1997 Infinite-contrast periodic composites with strongly nonlinear behavior: effective-medium theory versus full-field simulations. Zbl 1167.74535Idiart, M. I.; Willot, F.; Pellegrini, Y.-P.; Ponte Castañeda, P. 9 2009 Variational self-consistent estimates for cubic viscoplastic polycrystals: The effects of grain anisotropy and shape. Zbl 1048.74010Nebozhyn, Michael V.; Gilormini, Pierre; Ponte Castañeda, Pedro 8 2001 Second-order estimates for the effective behaviour of viscoplastic polycrystalline materials. Zbl 1047.74529Bornert, M.; Masson, R.; Ponte Castañeda, P.; Zaoui, A. 8 2001 On the ductility of laminated materials. Zbl 0764.73051deBotton, G.; Ponte Castañeda, P. 8 1992 Field fluctuations and macroscopic properties for nonlinear composites. Zbl 1070.74038Idiart, M.; Ponte Castañeda, P. 7 2003 Second-order estimates of the self-consistent type for viscoplastic polycrystals. Zbl 0916.73025Bornert, M.; Ponte Castañeda, P. 7 1998 The finite deformation of nonlinear composite materials. I. Instantaneous constitutive relations. II: Evolution of the microstructure. Zbl 0912.73032Ponte Castañeda, P.; Zaidman, M. 7 1996 Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. II: Results. Zbl 1162.74429Lopez-Pamies, O.; Ponte Castañ eda, P. 7 2007 Second-order theory for nonlinear composites and application to isotropic constituents. Zbl 1287.74003Idiart, Martín I.; Danas, Kostas; Ponte Castañeda, Pedro 7 2006 Rheology of a suspension of elastic particles in a viscous shear flow. Zbl 1241.76395Gao, Tong; Hu, Howard H.; Ponte Castañeda, Pedro 7 2011 Second-order estimates for nonlinear isotropic composites with spherical pores and rigid particles. Zbl 1223.74013Idiart, Martín; Castañeda, Pedro Ponte 6 2005 On the effective mechanical behavior of weakly inhomogeneous nonlinear materials. Zbl 0835.73040Ponte Castañeda, P.; Suquet, P. 6 1995 A homogenization-based constitutive model for two-dimensional viscoplastic porous media. Zbl 1133.74035Danas, Kostas; Idiart, Martin I.; Ponte Castañeda, Pedro 6 2008 The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. II: Examples. Zbl 1067.74560Kailasam, M.; Ponte Castañeda, P.; Willis, J. R. 6 1997 Multiscale modeling of oriented thermoplastic elastomers with lamellar morphology. Zbl 1172.74044Lopez-Pamies, O.; Garcia, R.; Chabert, E.; Cavaillé, J.-Y.; Ponte Castañeda, P. 6 2008 Variational linear comparison bounds for nonlinear composites with anisotropic phases. II: Crystalline materials. Zbl 1134.74044Idiart, Martín I.; Ponte Castañeda, Pedro 5 2007 Nonlinear electrical conductivity in heterogeneous media. Zbl 0886.73039Ponte Castañeda, P.; Kailasam, M. 5 1997 A finite-strain model for anisotropic viscoplastic porous media. II : Applications. Zbl 1158.74446Danas, K.; Ponte Castañeda, P. 5 2009 Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals. Zbl 1074.74047Liu, Yi; Ponte Castañeda, Pedro 5 2004 Homogenization estimates for multi-scale nonlinear composites. Zbl 1278.74144Agoras, M.; Castañeda, P. Ponte 5 2011 Second-order estimates for the large-deformation response of particle-reinforced rubbers. Zbl 1181.74108Lopez-Pamies, Oscar; Ponte Castañeda, Pedro 4 2003 The second-order procedure: Exact vs approximate results for isotropic, two-phase composites. Zbl 0990.74052Nebozhyn, M. V.; Ponte Castañeda, P. 4 1999 Variational self-consistent estimates for viscoplastic polycrystals with highly anisotropic grains. Zbl 0986.74018Nebozhyn, Michael V.; Gilormini, Pierre; Ponte Castañeda, Pedro 4 2000 The effect of particle shape and stiffness on the constitutive behavior of metal-matrix composites. Zbl 0817.73036Li, Guoan; Ponte Castañeda, P. 4 1993 Steady-state creep of fiber-reinforced composites: Constitutive equations and computational issues. Zbl 0874.73041Aravas, N.; Cheng, Cao; Ponte Castañeda, P. 4 1995 Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals. Zbl 1112.74470Liu, Yi; Ponte Castañeda, Pedro 4 2004 Bounds for nonlinear composites via iterated homogenization. Zbl 1270.74055Ponte Castañeda, P. 4 2012 Second-order and affine estimates for the behavior of viscous polycrystals. Zbl 0982.74018Bornert, M.; Masson, R.; Ponte-Castañeda, P. 3 2000 Dynamics and rheology of elastic particles in an extensional flow. Zbl 1284.76379Gao, Tong; Hu, Howard H.; Ponte Castañeda, Pedro 3 2013 Corrigendum to “On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. II: Application to cylindrical fibers”: [J. Mech. phys. Solids 54 (2006) 831-863]. Zbl 1177.74323Lopez-Pamies, O.; Ponte Castañeda, P. 3 2009 Localization of elastic deformation in strongly anisotropic, porous, linear materials with periodic microstructures: exact solutions and dilute expansions. Zbl 1171.74343Willot, François; Pellegrini, Yves-Patrick; Ponte Castañeda, Pedro 3 2008 Variational estimates for the effective response and field statistics in thermoelastic composites with intra-phase property fluctuations. Zbl 1228.74068Lahellec, Noël; Castañeda, Pedro Ponte; Suquet, Pierre 3 2011 Tangent second-order estimates for the large-strain, macroscopic response of particle-reinforced elastomers. Zbl 1267.49036Avazmohammadi, Reza; Ponte Castañeda, Pedro 3 2013 Field statistics in nonlinear composites. II: Applications. Zbl 1129.74037Idiart, Martín I.; Ponte Castañeda, Pedro 2 2007 Stable crack growth along a brittle/ductile interface. II: Small scale yielding solutions and interfacial toughness predictions. Zbl 0941.74045Bose, K.; Mataga, P. A.; Ponte Castañeda, P. 2 1999 Estimates for two-phase nonlinear conductors via iterated homogenization. Zbl 1371.78344Idiart, Martín I.; Ponte Castañeda, Pedro 2 2013 Fully optimized second-order variational estimates for the macroscopic response and field statistics in viscoplastic crystalline composites. Zbl 1371.74057Ponte Castañeda, P. 2 2015 Void growth in power-law creeping solids: effect of surface diffusion and surface energy. Zbl 1119.74373Subramanian, S. J.; Sofronis, P.; Ponte Castaneda, P. 1 2005 Une théorie exacte à l’ordre 2 pour les matériaux composites non linéaires. (A second-order theory for nonlinear composite materials.) Zbl 0926.74010Ponte Castañeda, Pedro 1 1996 Nonlinear homogenization and its applications to composites, polycrystals and smart materials. Proceedings of the NATO advanced workshop, Warsaw, Poland, June 23–26, 2003. Zbl 1320.74007 1 2005 Linear comparison methods for nonlinear composites. Zbl 1320.74034Ponte Castañeda, P. 1 2005 The rheology of non-dilute dispersions of highly deformable viscoelastic particles in Newtonian fluids. Zbl 1337.76067Avazmohammadi, Reza; Castañeda, Pedro Ponte 1 2015 Modeling sea ice. Zbl 1454.86003Golden, Kenneth M.; Bennetts, Luke G.; Cherkaev, Elena; Eisenman, Ian; Feltham, Daniel; Horvat, Christopher; Hunke, Elizabeth; Jones, Christopher; Perovich, Donald K.; Ponte-Castañeda, Pedro; Strong, Courtenay; Sulsky, Deborah; Wells, Andrew J. 1 2020 Modeling sea ice. Zbl 1454.86003Golden, Kenneth M.; Bennetts, Luke G.; Cherkaev, Elena; Eisenman, Ian; Feltham, Daniel; Horvat, Christopher; Hunke, Elizabeth; Jones, Christopher; Perovich, Donald K.; Ponte-Castañeda, Pedro; Strong, Courtenay; Sulsky, Deborah; Wells, Andrew J. 1 2020 Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading. Zbl 1327.74048Siboni, Morteza H.; Avazmohammadi, Reza; Castañeda, Pedro Ponte 12 2015 Fully optimized second-order variational estimates for the macroscopic response and field statistics in viscoplastic crystalline composites. Zbl 1371.74057Ponte Castañeda, P. 2 2015 The rheology of non-dilute dispersions of highly deformable viscoelastic particles in Newtonian fluids. Zbl 1337.76067Avazmohammadi, Reza; Castañeda, Pedro Ponte 1 2015 Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis. Zbl 1328.74041Siboni, Morteza Hakimi; Ponte Castañeda, Pedro 14 2014 Dynamics and rheology of elastic particles in an extensional flow. Zbl 1284.76379Gao, Tong; Hu, Howard H.; Ponte Castañeda, Pedro 3 2013 Tangent second-order estimates for the large-strain, macroscopic response of particle-reinforced elastomers. Zbl 1267.49036Avazmohammadi, Reza; Ponte Castañeda, Pedro 3 2013 Estimates for two-phase nonlinear conductors via iterated homogenization. Zbl 1371.78344Idiart, Martín I.; Ponte Castañeda, Pedro 2 2013 Bounds for nonlinear composites via iterated homogenization. Zbl 1270.74055Ponte Castañeda, P. 4 2012 Homogenization-based constitutive models for magnetorheological elastomers at finite strain. Zbl 1270.74075Ponte Castañeda, P.; Galipeau, E. 27 2011 Rheology of a suspension of elastic particles in a viscous shear flow. Zbl 1241.76395Gao, Tong; Hu, Howard H.; Ponte Castañeda, Pedro 7 2011 Homogenization estimates for multi-scale nonlinear composites. Zbl 1278.74144Agoras, M.; Castañeda, P. Ponte 5 2011 Variational estimates for the effective response and field statistics in thermoelastic composites with intra-phase property fluctuations. Zbl 1228.74068Lahellec, Noël; Castañeda, Pedro Ponte; Suquet, Pierre 3 2011 Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers. Zbl 1225.74029Michel, J. C.; Lopez-Pamies, O.; Castañeda, P. Ponte; Triantafyllidis, N. 16 2010 A finite-strain model for anisotropic viscoplastic porous media. I : Theory. Zbl 1158.74445Danas, K.; Ponte Castañeda, P. 18 2009 A general hyperelastic model for incompressible fiber-reinforced elastomers. Zbl 1197.74025Agoras, M.; Lopez-Pamies, O.; Ponte Castañeda, P. 12 2009 Onset of macroscopic instabilities in fiber-reinforced elastomers at finite strain. Zbl 1193.74026Agoras, M.; Lopez-Pamies, O.; Castañeda, P. Ponte 10 2009 Infinite-contrast periodic composites with strongly nonlinear behavior: effective-medium theory versus full-field simulations. Zbl 1167.74535Idiart, M. I.; Willot, F.; Pellegrini, Y.-P.; Ponte Castañeda, P. 9 2009 A finite-strain model for anisotropic viscoplastic porous media. II : Applications. Zbl 1158.74446Danas, K.; Ponte Castañeda, P. 5 2009 Corrigendum to “On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. II: Application to cylindrical fibers”: [J. Mech. phys. Solids 54 (2006) 831-863]. Zbl 1177.74323Lopez-Pamies, O.; Ponte Castañeda, P. 3 2009 A homogenization-based constitutive model for isotropic viscoplastic porous media. Zbl 1169.74384Danas, K.; Idiart, M. I.; Ponte Castañeda, P. 18 2008 A homogenization-based constitutive model for two-dimensional viscoplastic porous media. Zbl 1133.74035Danas, Kostas; Idiart, Martin I.; Ponte Castañeda, Pedro 6 2008 Multiscale modeling of oriented thermoplastic elastomers with lamellar morphology. Zbl 1172.74044Lopez-Pamies, O.; Garcia, R.; Chabert, E.; Cavaillé, J.-Y.; Ponte Castañeda, P. 6 2008 Localization of elastic deformation in strongly anisotropic, porous, linear materials with periodic microstructures: exact solutions and dilute expansions. Zbl 1171.74343Willot, François; Pellegrini, Yves-Patrick; Ponte Castañeda, Pedro 3 2008 Microscopic and macroscopic instabilities in finitely strained porous elastomers. Zbl 1170.74018Michel, J. C.; Lopez-Pamies, O.; Ponte Castañeda, P.; Triantafyllidis, N. 27 2007 Field statistics in nonlinear composites. I: Theory. Zbl 1129.74036Idiart, Martín I.; Ponte Castañeda, Pedro 17 2007 Homogenization estimates for fiber-reinforced elastomers with periodic microstructures. Zbl 1186.74095Brun, M.; Lopez-Pamies, O.; Ponte Castañeda, P. 14 2007 Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. I: Analysis. Zbl 1176.74150Lopez-Pamies, O.; Ponte Castañ eda, P. 13 2007 Variational linear comparison bounds for nonlinear composites with anisotropic phases. I: General results. Zbl 1134.74043Idiart, Martín I.; Ponte Castañeda, Pedro 10 2007 Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. II: Results. Zbl 1162.74429Lopez-Pamies, O.; Ponte Castañ eda, P. 7 2007 Variational linear comparison bounds for nonlinear composites with anisotropic phases. II: Crystalline materials. Zbl 1134.74044Idiart, Martín I.; Ponte Castañeda, Pedro 5 2007 Field statistics in nonlinear composites. II: Applications. Zbl 1129.74037Idiart, Martín I.; Ponte Castañeda, Pedro 2 2007 On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. I: Theory. Zbl 1120.74726Lopez-Pamies, O.; Ponte Castañeda, P. 33 2006 Macroscopic behavior and field fluctuations in viscoplastic composites: second-order estimates versus full-field simulations. Zbl 1120.74720Idiart, M. I.; Moulinec, H.; Ponte Castañeda, P.; Suquet, P. 27 2006 On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. II: Application to cylindrical fibers. Zbl 1120.74727Lopez-Pamies, O.; Ponte Castañeda, P. 25 2006 Second-order theory for nonlinear composites and application to isotropic constituents. Zbl 1287.74003Idiart, Martín I.; Danas, Kostas; Ponte Castañeda, Pedro 7 2006 Second-order estimates for nonlinear isotropic composites with spherical pores and rigid particles. Zbl 1223.74013Idiart, Martín; Castañeda, Pedro Ponte 6 2005 Void growth in power-law creeping solids: effect of surface diffusion and surface energy. Zbl 1119.74373Subramanian, S. J.; Sofronis, P.; Ponte Castaneda, P. 1 2005 Nonlinear homogenization and its applications to composites, polycrystals and smart materials. Proceedings of the NATO advanced workshop, Warsaw, Poland, June 23–26, 2003. Zbl 1320.74007 1 2005 Linear comparison methods for nonlinear composites. Zbl 1320.74034Ponte Castañeda, P. 1 2005 Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations. Zbl 1086.74032Lopez-Pamies, Oscar; Ponte Castañeda, Pedro 22 2004 Numerical methods for porous metals with deformation-induced anisotropy. Zbl 1068.74068Aravas, N.; Ponte Castañeda, P. 15 2004 Macroscopic properties and field fluctuations in model power-law polycrystals: Full-field solutions versus self-consistent estimates. Zbl 1079.74053Lebensohn, R. A.; Liu, Y.; Ponte Castañeda, P. 14 2004 Second-order homogenization estimates incorporating field fluctuations in finite elasticity. Zbl 1095.74026Lopez-Pamies, O.; Ponte Castañeda, P. 13 2004 Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals. Zbl 1074.74047Liu, Yi; Ponte Castañeda, Pedro 5 2004 Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals. Zbl 1112.74470Liu, Yi; Ponte Castañeda, Pedro 4 2004 Field fluctuations and macroscopic properties for nonlinear composites. Zbl 1070.74038Idiart, M.; Ponte Castañeda, P. 7 2003 Second-order estimates for the large-deformation response of particle-reinforced rubbers. Zbl 1181.74108Lopez-Pamies, Oscar; Ponte Castañeda, Pedro 4 2003 Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory. Zbl 1116.74412Ponte Castañeda, Pedro 74 2002 Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II: Applications. Zbl 1116.74411Ponte Castañeda, Pedro 24 2002 Yield criteria for porous media in plane strain: second-order estimates versus numerical results. Zbl 1372.74022Pastor, Joseph; Ponte Castañeda, Pedro 13 2002 Variational self-consistent estimates for cubic viscoplastic polycrystals: The effects of grain anisotropy and shape. Zbl 1048.74010Nebozhyn, Michael V.; Gilormini, Pierre; Ponte Castañeda, Pedro 8 2001 Second-order estimates for the effective behaviour of viscoplastic polycrystalline materials. Zbl 1047.74529Bornert, M.; Masson, R.; Ponte Castañeda, P.; Zaoui, A. 8 2001 A second-order homogenization method in finite elasticity and applications to black-filled elastomers. Zbl 0984.74070Ponte Castañeda, P.; Tiberio, E. 28 2000 Variational self-consistent estimates for viscoplastic polycrystals with highly anisotropic grains. Zbl 0986.74018Nebozhyn, Michael V.; Gilormini, Pierre; Ponte Castañeda, Pedro 4 2000 Second-order and affine estimates for the behavior of viscous polycrystals. Zbl 0982.74018Bornert, M.; Masson, R.; Ponte-Castañeda, P. 3 2000 Variational second-order estimates for nonlinear composites. Zbl 0984.74071Ponte Castañeda, P.; Willis, J. R. 23 1999 The second-order procedure: Exact vs approximate results for isotropic, two-phase composites. Zbl 0990.74052Nebozhyn, M. V.; Ponte Castañeda, P. 4 1999 Stable crack growth along a brittle/ductile interface. II: Small scale yielding solutions and interfacial toughness predictions. Zbl 0941.74045Bose, K.; Mataga, P. A.; Ponte Castañeda, P. 2 1999 Nonlinear composites. Zbl 0889.73049Ponte Castañeda, Pedro; Suquet, Pierre 126 1998 A general constitutive theory for linear and nonlinear particulate media with microstructure evolution. Zbl 0974.74502Kailasam, M.; Ponte Castañeda, P. 23 1998 Second-order estimates of the self-consistent type for viscoplastic polycrystals. Zbl 0916.73025Bornert, M.; Ponte Castañeda, P. 7 1998 Variational estimates of the self-consistent type for the effective behaviour of some model nonlinear polycrystals. Zbl 0914.73080Ponte Castañeda, P.; Nebozhyn, M. V. 10 1997 Nonlinear composite materials: Effective constitutive behavior and microstructure evolution. Zbl 0883.73050Ponte Castañeda, P. 9 1997 The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. I: Theory. Zbl 1067.74559Kailasam, M.; Ponte Castañeda, P.; Willis, J. R. 9 1997 The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. II: Examples. Zbl 1067.74560Kailasam, M.; Ponte Castañeda, P.; Willis, J. R. 6 1997 Nonlinear electrical conductivity in heterogeneous media. Zbl 0886.73039Ponte Castañeda, P.; Kailasam, M. 5 1997 Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. Zbl 1054.74708Ponte Castañeda, P. 75 1996 The finite deformation of nonlinear composite materials. I. Instantaneous constitutive relations. II: Evolution of the microstructure. Zbl 0912.73032Ponte Castañeda, P.; Zaidman, M. 7 1996 Une théorie exacte à l’ordre 2 pour les matériaux composites non linéaires. (A second-order theory for nonlinear composite materials.) Zbl 0926.74010Ponte Castañeda, Pedro 1 1996 The effect of spatial distribution on the effective behavior of composite materials and cracked media. Zbl 0919.73061Ponte Castañeda, P.; Willis, J. R. 118 1995 Variational estimates for the creep behaviour of polycrystals. Zbl 0829.73077DeBotton, G.; Ponte Castañeda, P. 17 1995 On the effective mechanical behavior of weakly inhomogeneous nonlinear materials. Zbl 0835.73040Ponte Castañeda, P.; Suquet, P. 6 1995 Steady-state creep of fiber-reinforced composites: Constitutive equations and computational issues. Zbl 0874.73041Aravas, N.; Cheng, Cao; Ponte Castañeda, P. 4 1995 Constitutive models for porous materials with evolving microstructure. Zbl 0823.73004Ponte Castañeda, P.; Zaidman, M. 26 1994 Small-contrast perturbation expansions for the effective properties of nonlinear composites. Zbl 0844.73052Suquet, Pierre; Ponte Castañeda, Pedro 15 1993 Elastoplastic constitutive relations for fiber-reinforced solids. Zbl 0782.73006deBotton, G.; Ponte Castañeda, P. 10 1993 The effect of particle shape and stiffness on the constitutive behavior of metal-matrix composites. Zbl 0817.73036Li, Guoan; Ponte Castañeda, P. 4 1993 New variational principles in plasticity and their application to composite materials. Zbl 0764.73103Ponte Castañeda, P. 56 1992 Bounds and estimates for the properties of nonlinear heterogeneous systems. Zbl 0776.73062Ponte Castañeda, P. 18 1992 A new variational principle and its application to nonlinear heterogeneous systems. Zbl 0759.73064Ponte Castañeda, P. 13 1992 On the homogenized yield strength of two-phase composites. Zbl 0768.73006Ponte Castañeda, P.; deBotton, G. 12 1992 On the ductility of laminated materials. Zbl 0764.73051deBotton, G.; Ponte Castañeda, P. 8 1992 The effective mechanical properties of nonlinear isotropic composites. Zbl 0734.73052Ponte Castañeda, P. 156 1991 The overall constitutive behaviour of nonlinearly elastic composites. Zbl 0673.73005Ponte Castañeda, P. 28 1989 On the overall properties of nonlinearly viscous composites. Zbl 0635.73006Ponte Castañeda, P.; Willis, J. R. 15 1988 Asymptotic fields in steady crack growth with linear strain-hardening. Zbl 0601.73101Ponte Castañeda, P. 11 1987 all cited Publications top 5 cited Publications all top 5 Cited by 780 Authors 51 Ponte Castañeda, Pedro 21 Idiart, Martín I. 19 Lopez-Pamies, Oscar 19 Suquet, Pierre-Marie 18 Kondo, Djimédo 13 Steinmann, Paul 12 Weng, George J. 11 Michel, Jean-Claude 10 Miehe, Christian 9 deBotton, Gal 8 Sevostianov, Igor 7 Danas, Kostas 7 Dormieux, Luc 7 Fritzen, Felix 7 Lahellec, Noël 7 Masson, Renaud 7 Pastor, Franck 7 Schneider, Matti 7 Yvonnet, Julien 6 Bornert, Michel 6 Buryachenko, Valeriy A. 6 Franciosi, Patrick 6 He, Qichang 6 Moulinec, Hervé 6 Pastor, Joseph 6 Willis, John Raymond 6 Zaoui, André 5 Agoras, M. 5 Barthelemy, Jean-Francois M. 5 Böhlke, Thomas 5 Brenner, Renald 5 Chatzigeorgiou, George 5 Doghri, Issam 5 Gil, Antonio J. 5 Javili, Ali 5 Khoroshun, Leonid Petrovich 5 Kushch, Volodymyr I. 5 Leblond, Jean-Baptiste 5 Mohr, Dirk 5 Ortigosa, Rogelio 5 Pivovarov, Dmytro 5 Rudykh, Stephan 5 Shao, Jianfu 4 Adam, Laurent 4 Aravas, Nikolaos 4 Avazmohammadi, Reza 4 Drugan, W. J. 4 Fleck, Norman A. 4 Giraud, Albert 4 Kabel, Matthias 4 Keip, Marc-André 4 Leuschner, Matthias 4 Llorca, Javier 4 Mergheim, Julia 4 Morin, Léo 4 Noels, Ludovic 4 Pardoen, Thomas 4 Segurado, Javier 4 Shmuel, Gal 4 Siboni, Morteza Hakimi 4 Wu, Ling 3 Barai, Pallab 3 Bardella, Lorenzo 3 Benzerga, Ahmed Amine 3 Berbenni, Stephane 3 Brassart, Laurence 3 Calvo-Jurado, Carmen 3 Chaboche, Jean-Louis 3 Charalambakis, Nicolas Ch. 3 Delannay, Laurent 3 Dunand, Matthieu 3 Gărăjeu, Mihai 3 Gei, Massimiliano 3 Gilormini, Pierre 3 Hellmich, Christian 3 Hu, Gengkai 3 Hure, Jeremy 3 Kowalczyk-Gajewska, Katarzyna 3 Lebensohn, Ricardo A. 3 Liu, Wing Kam 3 Liu, Yi 3 Luciano, Raimondo 3 Luscher, Darby J. 3 Meraghni, Fodil 3 Molinari, Alain 3 Monchiet, Vincent 3 Monerie, Yann 3 Moraleda, Joaquín 3 Ostoja-Starzewski, Martin 3 Parnell, William J. 3 Peigney, Michaël 3 Pellegrini, Yves-Patrick 3 Pérez-Fernández, Leslie D. 3 Rambausek, Matthias 3 Sacco, Elio 3 Sanahuja, Julien 3 Slesarenko, Viacheslav 3 Smyshlyaev, Valery P. 3 Temizer, Ilker 3 Triantafyllidis, Nicolas ...and 680 more Authors all top 5 Cited in 60 Serials 135 Journal of the Mechanics and Physics of Solids 64 Computer Methods in Applied Mechanics and Engineering 57 European Journal of Mechanics. A. Solids 32 Acta Mechanica 29 International Journal of Solids and Structures 24 International Journal of Engineering Science 23 Computational Mechanics 18 International Journal of Plasticity 17 Journal of Elasticity 17 Mathematics and Mechanics of Solids 12 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 10 International Journal for Numerical Methods in Engineering 7 Continuum Mechanics and Thermodynamics 6 Journal of Fluid Mechanics 5 Journal of Engineering Mathematics 5 Archive of Applied Mechanics 4 Applied Mathematics and Mechanics. (English Edition) 4 Applications of Mathematics 4 International Applied Mechanics 4 International Journal of Fracture 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Journal of Computational Physics 3 Chaos, Solitons and Fractals 3 Journal of Computational and Applied Mathematics 3 Meccanica 3 Mechanics Research Communications 3 Multiscale Modeling & Simulation 3 Acta Mechanica Sinica 2 Computers and Fluids 2 Communications on Pure and Applied Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Quarterly of Applied Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Applied Mathematical Modelling 2 SIAM Journal on Applied Mathematics 2 Journal of Nonlinear Science 2 Communications in Numerical Methods in Engineering 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Archives of Computational Methods in Engineering 2 Journal of Theoretical Biology 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 European Journal of Applied Mathematics 1 Communications in Partial Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Engineering Analysis with Boundary Elements 1 Science in China. Series E 1 Mathematical Problems in Engineering 1 Communications in Nonlinear Science and Numerical Simulation 1 Engineering Computations 1 Theoretical and Applied Mechanics 1 Inverse Problems and Imaging 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Cogent Mathematics & Statistics 1 Mechanics of Solids all top 5 Cited in 25 Fields 523 Mechanics of deformable solids (74-XX) 41 Numerical analysis (65-XX) 20 Partial differential equations (35-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Fluid mechanics (76-XX) 13 Optics, electromagnetic theory (78-XX) 9 Biology and other natural sciences (92-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 4 Operations research, mathematical programming (90-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year