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Ponte Castañeda, Pedro

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Author ID: ponte-castaneda.pedro Recent zbMATH articles by "Ponte Castañeda, 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.
Homepage: https://www.seas.upenn.edu/directory/profile.php?ID=73
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Publications by Year

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 0734.73052
Ponte Castañeda, P.
156
1991
Nonlinear composites. Zbl 0889.73049
Ponte Castañeda, Pedro; Suquet, Pierre
126
1998
The effect of spatial distribution on the effective behavior of composite materials and cracked media. Zbl 0919.73061
Ponte Castañeda, P.; Willis, J. R.
118
1995
Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. Zbl 1054.74708
Ponte Castañeda, P.
75
1996
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory. Zbl 1116.74412
Ponte Castañeda, Pedro
74
2002
New variational principles in plasticity and their application to composite materials. Zbl 0764.73103
Ponte Castañeda, P.
56
1992
On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. I: Theory. Zbl 1120.74726
Lopez-Pamies, O.; Ponte Castañeda, P.
33
2006
A second-order homogenization method in finite elasticity and applications to black-filled elastomers. Zbl 0984.74070
Ponte Castañeda, P.; Tiberio, E.
28
2000
The overall constitutive behaviour of nonlinearly elastic composites. Zbl 0673.73005
Ponte Castañeda, P.
28
1989
Macroscopic behavior and field fluctuations in viscoplastic composites: second-order estimates versus full-field simulations. Zbl 1120.74720
Idiart, M. I.; Moulinec, H.; Ponte Castañeda, P.; Suquet, P.
27
2006
Microscopic and macroscopic instabilities in finitely strained porous elastomers. Zbl 1170.74018
Michel, J. C.; Lopez-Pamies, O.; Ponte Castañeda, P.; Triantafyllidis, N.
27
2007
Homogenization-based constitutive models for magnetorheological elastomers at finite strain. Zbl 1270.74075
Ponte Castañeda, P.; Galipeau, E.
27
2011
Constitutive models for porous materials with evolving microstructure. Zbl 0823.73004
Ponte 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 1120.74727
Lopez-Pamies, O.; Ponte Castañeda, P.
25
2006
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II: Applications. Zbl 1116.74411
Ponte Castañeda, Pedro
24
2002
A general constitutive theory for linear and nonlinear particulate media with microstructure evolution. Zbl 0974.74502
Kailasam, M.; Ponte Castañeda, P.
23
1998
Variational second-order estimates for nonlinear composites. Zbl 0984.74071
Ponte 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 1086.74032
Lopez-Pamies, Oscar; Ponte Castañeda, Pedro
22
2004
Bounds and estimates for the properties of nonlinear heterogeneous systems. Zbl 0776.73062
Ponte Castañeda, P.
18
1992
A finite-strain model for anisotropic viscoplastic porous media. I : Theory. Zbl 1158.74445
Danas, K.; Ponte Castañeda, P.
18
2009
A homogenization-based constitutive model for isotropic viscoplastic porous media. Zbl 1169.74384
Danas, K.; Idiart, M. I.; Ponte Castañeda, P.
18
2008
Variational estimates for the creep behaviour of polycrystals. Zbl 0829.73077
DeBotton, G.; Ponte Castañeda, P.
17
1995
Field statistics in nonlinear composites. I: Theory. Zbl 1129.74036
Idiart, Martín I.; Ponte Castañeda, Pedro
17
2007
Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers. Zbl 1225.74029
Michel, J. C.; Lopez-Pamies, O.; Castañeda, P. Ponte; Triantafyllidis, N.
16
2010
Small-contrast perturbation expansions for the effective properties of nonlinear composites. Zbl 0844.73052
Suquet, Pierre; Ponte Castañeda, Pedro
15
1993
On the overall properties of nonlinearly viscous composites. Zbl 0635.73006
Ponte Castañeda, P.; Willis, J. R.
15
1988
Numerical methods for porous metals with deformation-induced anisotropy. Zbl 1068.74068
Aravas, N.; Ponte Castañeda, P.
15
2004
Homogenization estimates for fiber-reinforced elastomers with periodic microstructures. Zbl 1186.74095
Brun, 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 1079.74053
Lebensohn, R. A.; Liu, Y.; Ponte Castañeda, P.
14
2004
Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis. Zbl 1328.74041
Siboni, Morteza Hakimi; Ponte Castañeda, Pedro
14
2014
A new variational principle and its application to nonlinear heterogeneous systems. Zbl 0759.73064
Ponte Castañeda, P.
13
1992
Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. I: Analysis. Zbl 1176.74150
Lopez-Pamies, O.; Ponte Castañ eda, P.
13
2007
Yield criteria for porous media in plane strain: second-order estimates versus numerical results. Zbl 1372.74022
Pastor, Joseph; Ponte Castañeda, Pedro
13
2002
Second-order homogenization estimates incorporating field fluctuations in finite elasticity. Zbl 1095.74026
Lopez-Pamies, O.; Ponte Castañeda, P.
13
2004
On the homogenized yield strength of two-phase composites. Zbl 0768.73006
Ponte Castañeda, P.; deBotton, G.
12
1992
A general hyperelastic model for incompressible fiber-reinforced elastomers. Zbl 1197.74025
Agoras, M.; Lopez-Pamies, O.; Ponte Castañeda, P.
12
2009
Electromechanical instabilities in fiber-constrained, dielectric-elastomer composites subjected to all-around dead-loading. Zbl 1327.74048
Siboni, Morteza H.; Avazmohammadi, Reza; Castañeda, Pedro Ponte
12
2015
Asymptotic fields in steady crack growth with linear strain-hardening. Zbl 0601.73101
Ponte Castañeda, P.
11
1987
Variational linear comparison bounds for nonlinear composites with anisotropic phases. I: General results. Zbl 1134.74043
Idiart, Martín I.; Ponte Castañeda, Pedro
10
2007
Elastoplastic constitutive relations for fiber-reinforced solids. Zbl 0782.73006
deBotton, G.; Ponte Castañeda, P.
10
1993
Variational estimates of the self-consistent type for the effective behaviour of some model nonlinear polycrystals. Zbl 0914.73080
Ponte Castañeda, P.; Nebozhyn, M. V.
10
1997
Onset of macroscopic instabilities in fiber-reinforced elastomers at finite strain. Zbl 1193.74026
Agoras, M.; Lopez-Pamies, O.; Castañeda, P. Ponte
10
2009
Nonlinear composite materials: Effective constitutive behavior and microstructure evolution. Zbl 0883.73050
Ponte 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 1067.74559
Kailasam, 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 1167.74535
Idiart, 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 1048.74010
Nebozhyn, Michael V.; Gilormini, Pierre; Ponte Castañeda, Pedro
8
2001
Second-order estimates for the effective behaviour of viscoplastic polycrystalline materials. Zbl 1047.74529
Bornert, M.; Masson, R.; Ponte Castañeda, P.; Zaoui, A.
8
2001
On the ductility of laminated materials. Zbl 0764.73051
deBotton, G.; Ponte Castañeda, P.
8
1992
Field fluctuations and macroscopic properties for nonlinear composites. Zbl 1070.74038
Idiart, M.; Ponte Castañeda, P.
7
2003
Second-order estimates of the self-consistent type for viscoplastic polycrystals. Zbl 0916.73025
Bornert, M.; Ponte Castañeda, P.
7
1998
The finite deformation of nonlinear composite materials. I. Instantaneous constitutive relations. II: Evolution of the microstructure. Zbl 0912.73032
Ponte Castañeda, P.; Zaidman, M.
7
1996
Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. II: Results. Zbl 1162.74429
Lopez-Pamies, O.; Ponte Castañ eda, P.
7
2007
Second-order theory for nonlinear composites and application to isotropic constituents. Zbl 1287.74003
Idiart, Martín I.; Danas, Kostas; Ponte Castañeda, Pedro
7
2006
Rheology of a suspension of elastic particles in a viscous shear flow. Zbl 1241.76395
Gao, Tong; Hu, Howard H.; Ponte Castañeda, Pedro
7
2011
Second-order estimates for nonlinear isotropic composites with spherical pores and rigid particles. Zbl 1223.74013
Idiart, Martín; Castañeda, Pedro Ponte
6
2005
On the effective mechanical behavior of weakly inhomogeneous nonlinear materials. Zbl 0835.73040
Ponte Castañeda, P.; Suquet, P.
6
1995
A homogenization-based constitutive model for two-dimensional viscoplastic porous media. Zbl 1133.74035
Danas, 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 1067.74560
Kailasam, M.; Ponte Castañeda, P.; Willis, J. R.
6
1997
Multiscale modeling of oriented thermoplastic elastomers with lamellar morphology. Zbl 1172.74044
Lopez-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 1134.74044
Idiart, Martín I.; Ponte Castañeda, Pedro
5
2007
Nonlinear electrical conductivity in heterogeneous media. Zbl 0886.73039
Ponte Castañeda, P.; Kailasam, M.
5
1997
A finite-strain model for anisotropic viscoplastic porous media. II : Applications. Zbl 1158.74446
Danas, K.; Ponte Castañeda, P.
5
2009
Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals. Zbl 1074.74047
Liu, Yi; Ponte Castañeda, Pedro
5
2004
Homogenization estimates for multi-scale nonlinear composites. Zbl 1278.74144
Agoras, M.; Castañeda, P. Ponte
5
2011
Second-order estimates for the large-deformation response of particle-reinforced rubbers. Zbl 1181.74108
Lopez-Pamies, Oscar; Ponte Castañeda, Pedro
4
2003
The second-order procedure: Exact vs approximate results for isotropic, two-phase composites. Zbl 0990.74052
Nebozhyn, M. V.; Ponte Castañeda, P.
4
1999
Variational self-consistent estimates for viscoplastic polycrystals with highly anisotropic grains. Zbl 0986.74018
Nebozhyn, 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 0817.73036
Li, Guoan; Ponte Castañeda, P.
4
1993
Steady-state creep of fiber-reinforced composites: Constitutive equations and computational issues. Zbl 0874.73041
Aravas, N.; Cheng, Cao; Ponte Castañeda, P.
4
1995
Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals. Zbl 1112.74470
Liu, Yi; Ponte Castañeda, Pedro
4
2004
Bounds for nonlinear composites via iterated homogenization. Zbl 1270.74055
Ponte Castañeda, P.
4
2012
Second-order and affine estimates for the behavior of viscous polycrystals. Zbl 0982.74018
Bornert, M.; Masson, R.; Ponte-Castañeda, P.
3
2000
Dynamics and rheology of elastic particles in an extensional flow. Zbl 1284.76379
Gao, 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 1177.74323
Lopez-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 1171.74343
Willot, 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 1228.74068
Lahellec, Noël; Castañeda, Pedro Ponte; Suquet, Pierre
3
2011
Tangent second-order estimates for the large-strain, macroscopic response of particle-reinforced elastomers. Zbl 1267.49036
Avazmohammadi, Reza; Ponte Castañeda, Pedro
3
2013
Field statistics in nonlinear composites. II: Applications. Zbl 1129.74037
Idiart, 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 0941.74045
Bose, K.; Mataga, P. A.; Ponte Castañeda, P.
2
1999
Estimates for two-phase nonlinear conductors via iterated homogenization. Zbl 1371.78344
Idiart, 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 1371.74057
Ponte Castañeda, P.
2
2015
Void growth in power-law creeping solids: effect of surface diffusion and surface energy. Zbl 1119.74373
Subramanian, 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 0926.74010
Ponte 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 1320.74034
Ponte Castañeda, P.
1
2005
The rheology of non-dilute dispersions of highly deformable viscoelastic particles in Newtonian fluids. Zbl 1337.76067
Avazmohammadi, Reza; Castañeda, Pedro Ponte
1
2015
Modeling sea ice. Zbl 1454.86003
Golden, 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 1454.86003
Golden, 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 1327.74048
Siboni, 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 1371.74057
Ponte Castañeda, P.
2
2015
The rheology of non-dilute dispersions of highly deformable viscoelastic particles in Newtonian fluids. Zbl 1337.76067
Avazmohammadi, Reza; Castañeda, Pedro Ponte
1
2015
Fiber-constrained, dielectric-elastomer composites: finite-strain response and stability analysis. Zbl 1328.74041
Siboni, Morteza Hakimi; Ponte Castañeda, Pedro
14
2014
Dynamics and rheology of elastic particles in an extensional flow. Zbl 1284.76379
Gao, Tong; Hu, Howard H.; Ponte Castañeda, Pedro
3
2013
Tangent second-order estimates for the large-strain, macroscopic response of particle-reinforced elastomers. Zbl 1267.49036
Avazmohammadi, Reza; Ponte Castañeda, Pedro
3
2013
Estimates for two-phase nonlinear conductors via iterated homogenization. Zbl 1371.78344
Idiart, Martín I.; Ponte Castañeda, Pedro
2
2013
Bounds for nonlinear composites via iterated homogenization. Zbl 1270.74055
Ponte Castañeda, P.
4
2012
Homogenization-based constitutive models for magnetorheological elastomers at finite strain. Zbl 1270.74075
Ponte Castañeda, P.; Galipeau, E.
27
2011
Rheology of a suspension of elastic particles in a viscous shear flow. Zbl 1241.76395
Gao, Tong; Hu, Howard H.; Ponte Castañeda, Pedro
7
2011
Homogenization estimates for multi-scale nonlinear composites. Zbl 1278.74144
Agoras, M.; Castañeda, P. Ponte
5
2011
Variational estimates for the effective response and field statistics in thermoelastic composites with intra-phase property fluctuations. Zbl 1228.74068
Lahellec, Noël; Castañeda, Pedro Ponte; Suquet, Pierre
3
2011
Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers. Zbl 1225.74029
Michel, J. C.; Lopez-Pamies, O.; Castañeda, P. Ponte; Triantafyllidis, N.
16
2010
A finite-strain model for anisotropic viscoplastic porous media. I : Theory. Zbl 1158.74445
Danas, K.; Ponte Castañeda, P.
18
2009
A general hyperelastic model for incompressible fiber-reinforced elastomers. Zbl 1197.74025
Agoras, M.; Lopez-Pamies, O.; Ponte Castañeda, P.
12
2009
Onset of macroscopic instabilities in fiber-reinforced elastomers at finite strain. Zbl 1193.74026
Agoras, 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 1167.74535
Idiart, M. I.; Willot, F.; Pellegrini, Y.-P.; Ponte Castañeda, P.
9
2009
A finite-strain model for anisotropic viscoplastic porous media. II : Applications. Zbl 1158.74446
Danas, 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 1177.74323
Lopez-Pamies, O.; Ponte Castañeda, P.
3
2009
A homogenization-based constitutive model for isotropic viscoplastic porous media. Zbl 1169.74384
Danas, K.; Idiart, M. I.; Ponte Castañeda, P.
18
2008
A homogenization-based constitutive model for two-dimensional viscoplastic porous media. Zbl 1133.74035
Danas, Kostas; Idiart, Martin I.; Ponte Castañeda, Pedro
6
2008
Multiscale modeling of oriented thermoplastic elastomers with lamellar morphology. Zbl 1172.74044
Lopez-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 1171.74343
Willot, François; Pellegrini, Yves-Patrick; Ponte Castañeda, Pedro
3
2008
Microscopic and macroscopic instabilities in finitely strained porous elastomers. Zbl 1170.74018
Michel, J. C.; Lopez-Pamies, O.; Ponte Castañeda, P.; Triantafyllidis, N.
27
2007
Field statistics in nonlinear composites. I: Theory. Zbl 1129.74036
Idiart, Martín I.; Ponte Castañeda, Pedro
17
2007
Homogenization estimates for fiber-reinforced elastomers with periodic microstructures. Zbl 1186.74095
Brun, M.; Lopez-Pamies, O.; Ponte Castañeda, P.
14
2007
Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. I: Analysis. Zbl 1176.74150
Lopez-Pamies, O.; Ponte Castañ eda, P.
13
2007
Variational linear comparison bounds for nonlinear composites with anisotropic phases. I: General results. Zbl 1134.74043
Idiart, Martín I.; Ponte Castañeda, Pedro
10
2007
Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. II: Results. Zbl 1162.74429
Lopez-Pamies, O.; Ponte Castañ eda, P.
7
2007
Variational linear comparison bounds for nonlinear composites with anisotropic phases. II: Crystalline materials. Zbl 1134.74044
Idiart, Martín I.; Ponte Castañeda, Pedro
5
2007
Field statistics in nonlinear composites. II: Applications. Zbl 1129.74037
Idiart, 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 1120.74726
Lopez-Pamies, O.; Ponte Castañeda, P.
33
2006
Macroscopic behavior and field fluctuations in viscoplastic composites: second-order estimates versus full-field simulations. Zbl 1120.74720
Idiart, 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 1120.74727
Lopez-Pamies, O.; Ponte Castañeda, P.
25
2006
Second-order theory for nonlinear composites and application to isotropic constituents. Zbl 1287.74003
Idiart, Martín I.; Danas, Kostas; Ponte Castañeda, Pedro
7
2006
Second-order estimates for nonlinear isotropic composites with spherical pores and rigid particles. Zbl 1223.74013
Idiart, Martín; Castañeda, Pedro Ponte
6
2005
Void growth in power-law creeping solids: effect of surface diffusion and surface energy. Zbl 1119.74373
Subramanian, 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 1320.74034
Ponte Castañeda, P.
1
2005
Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations. Zbl 1086.74032
Lopez-Pamies, Oscar; Ponte Castañeda, Pedro
22
2004
Numerical methods for porous metals with deformation-induced anisotropy. Zbl 1068.74068
Aravas, N.; Ponte Castañeda, P.
15
2004
Macroscopic properties and field fluctuations in model power-law polycrystals: Full-field solutions versus self-consistent estimates. Zbl 1079.74053
Lebensohn, R. A.; Liu, Y.; Ponte Castañeda, P.
14
2004
Second-order homogenization estimates incorporating field fluctuations in finite elasticity. Zbl 1095.74026
Lopez-Pamies, O.; Ponte Castañeda, P.
13
2004
Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals. Zbl 1074.74047
Liu, Yi; Ponte Castañeda, Pedro
5
2004
Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals. Zbl 1112.74470
Liu, Yi; Ponte Castañeda, Pedro
4
2004
Field fluctuations and macroscopic properties for nonlinear composites. Zbl 1070.74038
Idiart, M.; Ponte Castañeda, P.
7
2003
Second-order estimates for the large-deformation response of particle-reinforced rubbers. Zbl 1181.74108
Lopez-Pamies, Oscar; Ponte Castañeda, Pedro
4
2003
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory. Zbl 1116.74412
Ponte Castañeda, Pedro
74
2002
Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II: Applications. Zbl 1116.74411
Ponte Castañeda, Pedro
24
2002
Yield criteria for porous media in plane strain: second-order estimates versus numerical results. Zbl 1372.74022
Pastor, Joseph; Ponte Castañeda, Pedro
13
2002
Variational self-consistent estimates for cubic viscoplastic polycrystals: The effects of grain anisotropy and shape. Zbl 1048.74010
Nebozhyn, Michael V.; Gilormini, Pierre; Ponte Castañeda, Pedro
8
2001
Second-order estimates for the effective behaviour of viscoplastic polycrystalline materials. Zbl 1047.74529
Bornert, 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 0984.74070
Ponte Castañeda, P.; Tiberio, E.
28
2000
Variational self-consistent estimates for viscoplastic polycrystals with highly anisotropic grains. Zbl 0986.74018
Nebozhyn, Michael V.; Gilormini, Pierre; Ponte Castañeda, Pedro
4
2000
Second-order and affine estimates for the behavior of viscous polycrystals. Zbl 0982.74018
Bornert, M.; Masson, R.; Ponte-Castañeda, P.
3
2000
Variational second-order estimates for nonlinear composites. Zbl 0984.74071
Ponte Castañeda, P.; Willis, J. R.
23
1999
The second-order procedure: Exact vs approximate results for isotropic, two-phase composites. Zbl 0990.74052
Nebozhyn, 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 0941.74045
Bose, K.; Mataga, P. A.; Ponte Castañeda, P.
2
1999
Nonlinear composites. Zbl 0889.73049
Ponte Castañeda, Pedro; Suquet, Pierre
126
1998
A general constitutive theory for linear and nonlinear particulate media with microstructure evolution. Zbl 0974.74502
Kailasam, M.; Ponte Castañeda, P.
23
1998
Second-order estimates of the self-consistent type for viscoplastic polycrystals. Zbl 0916.73025
Bornert, M.; Ponte Castañeda, P.
7
1998
Variational estimates of the self-consistent type for the effective behaviour of some model nonlinear polycrystals. Zbl 0914.73080
Ponte Castañeda, P.; Nebozhyn, M. V.
10
1997
Nonlinear composite materials: Effective constitutive behavior and microstructure evolution. Zbl 0883.73050
Ponte 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 1067.74559
Kailasam, 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 1067.74560
Kailasam, M.; Ponte Castañeda, P.; Willis, J. R.
6
1997
Nonlinear electrical conductivity in heterogeneous media. Zbl 0886.73039
Ponte Castañeda, P.; Kailasam, M.
5
1997
Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. Zbl 1054.74708
Ponte Castañeda, P.
75
1996
The finite deformation of nonlinear composite materials. I. Instantaneous constitutive relations. II: Evolution of the microstructure. Zbl 0912.73032
Ponte 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 0926.74010
Ponte Castañeda, Pedro
1
1996
The effect of spatial distribution on the effective behavior of composite materials and cracked media. Zbl 0919.73061
Ponte Castañeda, P.; Willis, J. R.
118
1995
Variational estimates for the creep behaviour of polycrystals. Zbl 0829.73077
DeBotton, G.; Ponte Castañeda, P.
17
1995
On the effective mechanical behavior of weakly inhomogeneous nonlinear materials. Zbl 0835.73040
Ponte Castañeda, P.; Suquet, P.
6
1995
Steady-state creep of fiber-reinforced composites: Constitutive equations and computational issues. Zbl 0874.73041
Aravas, N.; Cheng, Cao; Ponte Castañeda, P.
4
1995
Constitutive models for porous materials with evolving microstructure. Zbl 0823.73004
Ponte Castañeda, P.; Zaidman, M.
26
1994
Small-contrast perturbation expansions for the effective properties of nonlinear composites. Zbl 0844.73052
Suquet, Pierre; Ponte Castañeda, Pedro
15
1993
Elastoplastic constitutive relations for fiber-reinforced solids. Zbl 0782.73006
deBotton, G.; Ponte Castañeda, P.
10
1993
The effect of particle shape and stiffness on the constitutive behavior of metal-matrix composites. Zbl 0817.73036
Li, Guoan; Ponte Castañeda, P.
4
1993
New variational principles in plasticity and their application to composite materials. Zbl 0764.73103
Ponte Castañeda, P.
56
1992
Bounds and estimates for the properties of nonlinear heterogeneous systems. Zbl 0776.73062
Ponte Castañeda, P.
18
1992
A new variational principle and its application to nonlinear heterogeneous systems. Zbl 0759.73064
Ponte Castañeda, P.
13
1992
On the homogenized yield strength of two-phase composites. Zbl 0768.73006
Ponte Castañeda, P.; deBotton, G.
12
1992
On the ductility of laminated materials. Zbl 0764.73051
deBotton, G.; Ponte Castañeda, P.
8
1992
The effective mechanical properties of nonlinear isotropic composites. Zbl 0734.73052
Ponte Castañeda, P.
156
1991
The overall constitutive behaviour of nonlinearly elastic composites. Zbl 0673.73005
Ponte Castañeda, P.
28
1989
On the overall properties of nonlinearly viscous composites. Zbl 0635.73006
Ponte Castañeda, P.; Willis, J. R.
15
1988
Asymptotic fields in steady crack growth with linear strain-hardening. Zbl 0601.73101
Ponte Castañeda, P.
11
1987
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

Citations by Year