Ponte Castañeda, Pedro Soft elastic composites: microstructure evolution, instabilities and relaxed response by domain formation. (English) Zbl 1520.74068 Eur. J. Mech., A, Solids 100, Article ID 105033, 27 p. (2023). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q05 74E30 74B20 74Q20 74M25 74G60 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, Eur. J. Mech., A, Solids 100, Article ID 105033, 27 p. (2023; Zbl 1520.74068) Full Text: DOI
Siboni, Morteza H.; Ponte Castañeda, P. Finite-strain homogenization models for anisotropic dielectric elastomer composites. (English) Zbl 1476.74129 Merodio, José (ed.) et al., Constitutive modelling of solid continua. Based on the international workshop on modelling of nonlinear continua, Castro Urdiales, Spain, June 26–30, 2017. Cham: Springer. Solid Mech. Appl. 262, 285-309 (2020). Reviewer: Julián Bravo-Castillero (Ciudad de México) MSC: 74Q15 74Q05 74Q20 74E30 74F15 PDFBibTeX XMLCite \textit{M. H. Siboni} and \textit{P. Ponte Castañeda}, Solid Mech. Appl. 262, 285--309 (2020; Zbl 1476.74129) Full Text: DOI
Furer, Joshua; Ponte Castañeda, Pedro A symmetric fully optimized second-order method for nonlinear homogenization. (English) Zbl 07776820 ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222-254 (2018). MSC: 49M29 49S05 65Z05 74D10 74B20 74Q05 74Q15 74Q20 PDFBibTeX XMLCite \textit{J. Furer} and \textit{P. Ponte Castañeda}, ZAMM, Z. Angew. Math. Mech. 98, No. 2, 222--254 (2018; Zbl 07776820) Full Text: DOI
Agoras, M.; Castañeda, P. Ponte Homogenization estimates for multi-scale nonlinear composites. (English) Zbl 1278.74144 Eur. J. Mech., A, Solids 30, No. 6, 828-843 (2011). MSC: 74Q20 74E30 74Q05 PDFBibTeX XMLCite \textit{M. Agoras} and \textit{P. P. Castañeda}, Eur. J. Mech., A, Solids 30, No. 6, 828--843 (2011; Zbl 1278.74144) Full Text: DOI
Idiart, Martín I.; Ponte Castañeda, Pedro Variational linear comparison bounds for nonlinear composites with anisotropic phases. II: Crystalline materials. (English) Zbl 1134.74044 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2080, 925-943 (2007). MSC: 74Q20 74E30 74E15 74G65 74Q15 74E10 PDFBibTeX XMLCite \textit{M. I. Idiart} and \textit{P. Ponte Castañeda}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2080, 925--943 (2007; Zbl 1134.74044) Full Text: DOI HAL
Idiart, Martín I.; Ponte Castañeda, Pedro Variational linear comparison bounds for nonlinear composites with anisotropic phases. I: General results. (English) Zbl 1134.74043 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2080, 907-924 (2007). MSC: 74Q20 74E30 74A40 74G65 74Q15 74E10 PDFBibTeX XMLCite \textit{M. I. Idiart} and \textit{P. Ponte Castañeda}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2080, 907--924 (2007; Zbl 1134.74043) Full Text: DOI HAL
Idiart, Martín I.; Ponte Castañeda, Pedro Field statistics in nonlinear composites. II: Applications. (English) Zbl 1129.74037 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2077, 203-222 (2007). MSC: 74Q15 74Q05 74A40 74E30 74Q20 PDFBibTeX XMLCite \textit{M. I. Idiart} and \textit{P. Ponte Castañeda}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2077, 203--222 (2007; Zbl 1129.74037) Full Text: DOI HAL
Idiart, Martín I.; Ponte Castañeda, Pedro Field statistics in nonlinear composites. I: Theory. (English) Zbl 1129.74036 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2077, 183-202 (2007). MSC: 74Q15 74Q05 74A40 74E30 74Q20 PDFBibTeX XMLCite \textit{M. I. Idiart} and \textit{P. Ponte Castañeda}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2077, 183--202 (2007; Zbl 1129.74036) Full Text: DOI HAL
Idiart, Martín I.; Danas, Kostas; Ponte Castañeda, Pedro Second-order theory for nonlinear composites and application to isotropic constituents. (English) Zbl 1287.74003 C. R., Méc., Acad. Sci. Paris 334, No. 10, 575-581 (2006). MSC: 74A40 74Q20 74S99 PDFBibTeX XMLCite \textit{M. I. Idiart} et al., C. R., Méc., Acad. Sci. Paris 334, No. 10, 575--581 (2006; Zbl 1287.74003) Full Text: DOI HAL
Ponte Castañeda, P. Linear comparison methods for nonlinear composites. (English) Zbl 1320.74034 Ponte Castañeda, P. (ed.) et al., Nonlinear homogenization and its applications to composites, polycrystals and smart materials. Proceedings of the NATO advanced workshop, Warsaw, Poland, June 23–26, 2003. Dordrecht: Kluwer Academic Publishers (ISBN 978-1-4020-2621-8/hbk; 978-1-4020-2623-2/ebook). NATO Science Series II: Mathematics, Physics and Chemistry 170, 247-268 (2005). MSC: 74E30 74Q15 74Q20 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, NATO Sci. Ser. II, Math. Phys. Chem. 170, 247--268 (2005; Zbl 1320.74034) Full Text: DOI
Lopez-Pamies, Oscar; Ponte Castañeda, Pedro Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations. (English) Zbl 1086.74032 J. Elasticity 76, No. 3, 247-287 (2004). MSC: 74Q20 74F10 74E30 74B20 PDFBibTeX XMLCite \textit{O. Lopez-Pamies} and \textit{P. Ponte Castañeda}, J. Elasticity 76, No. 3, 247--287 (2004; Zbl 1086.74032) Full Text: DOI HAL
Lopez-Pamies, O.; Ponte Castañeda, P. Second-order homogenization estimates incorporating field fluctuations in finite elasticity. (English) Zbl 1095.74026 Math. Mech. Solids 9, No. 3, 243-270 (2004). Reviewer: Igor Andrianov (Köln) MSC: 74Q20 74Q05 74Q15 74E30 74B20 PDFBibTeX XMLCite \textit{O. Lopez-Pamies} and \textit{P. Ponte Castañeda}, Math. Mech. Solids 9, No. 3, 243--270 (2004; Zbl 1095.74026) Full Text: DOI
Lopez-Pamies, Oscar; Ponte Castañeda, Pedro Second-order estimates for the large-deformation response of particle-reinforced rubbers. (English) Zbl 1181.74108 C. R., Méc., Acad. Sci. Paris 331, No. 1, 1-8 (2003). MSC: 74Q20 74Q15 74Q05 74E30 74B20 PDFBibTeX XMLCite \textit{O. Lopez-Pamies} and \textit{P. Ponte Castañeda}, C. R., Méc., Acad. Sci. Paris 331, No. 1, 1--8 (2003; Zbl 1181.74108) Full Text: DOI
Ponte Castañeda, P. On the homogenized behaviour of reinforced and other Bingham composites. (English) Zbl 1066.74047 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 361, No. 1806, 647-964 (2003). MSC: 74Q20 74Q15 74E30 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 361, No. 1806, 647--964 (2003; Zbl 1066.74047)
Idiart, M.; Ponte Castañeda, P. Field fluctuations and macroscopic properties for nonlinear composites. (English) Zbl 1070.74038 Int. J. Solids Struct. 40, No. 25, 7015-7033 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 74Q15 74Q20 74E30 PDFBibTeX XMLCite \textit{M. Idiart} and \textit{P. Ponte Castañeda}, Int. J. Solids Struct. 40, No. 25, 7015--7033 (2003; Zbl 1070.74038) Full Text: DOI
Ponte Castañeda, Pedro Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II: Applications. (English) Zbl 1116.74411 J. Mech. Phys. Solids 50, No. 4, 759-782 (2002). MSC: 74Q20 74A40 74E30 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, J. Mech. Phys. Solids 50, No. 4, 759--782 (2002; Zbl 1116.74411) Full Text: DOI
Ponte Castañeda, Pedro Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory. (English) Zbl 1116.74412 J. Mech. Phys. Solids 50, No. 4, 737-757 (2002). MSC: 74Q20 74A40 74E30 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, J. Mech. Phys. Solids 50, No. 4, 737--757 (2002; Zbl 1116.74412) Full Text: DOI
Bornert, M.; Masson, R.; Ponte Castañeda, P.; Zaoui, A. Second-order estimates for the effective behaviour of viscoplastic polycrystalline materials. (English) Zbl 1047.74529 J. Mech. Phys. Solids 49, No. 11, 2737-2764 (2001). MSC: 74Q20 74E15 74C10 PDFBibTeX XMLCite \textit{M. Bornert} et al., J. Mech. Phys. Solids 49, No. 11, 2737--2764 (2001; Zbl 1047.74529) Full Text: DOI
Nebozhyn, Michael V.; Gilormini, Pierre; Ponte Castañeda, Pedro Variational self-consistent estimates for viscoplastic polycrystals with highly anisotropic grains. (English. Abridged French version) Zbl 0986.74018 C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 328, No. 1, 11-17 (2000). MSC: 74E15 74Q20 74C20 PDFBibTeX XMLCite \textit{M. V. Nebozhyn} et al., C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. 328, No. 1, 11--17 (2000; Zbl 0986.74018)
Bornert, M.; Masson, R.; Ponte-Castañeda, P. Second-order and affine estimates for the behavior of viscous polycrystals. (English) Zbl 0982.74018 ZAMM, Z. Angew. Math. Mech. 80, Suppl. 1, S17-S20 (2000). MSC: 74E15 74Q15 82D25 PDFBibTeX XMLCite \textit{M. Bornert} et al., ZAMM, Z. Angew. Math. Mech. 80, S17--S20 (2000; Zbl 0982.74018) Full Text: DOI
Ponte Castañeda, P.; Tiberio, E. A second-order homogenization method in finite elasticity and applications to black-filled elastomers. (English) Zbl 0984.74070 J. Mech. Phys. Solids 48, No. 6-7, 1389-1411 (2000). MSC: 74Q20 74E30 74B20 PDFBibTeX XMLCite \textit{P. Ponte Castañeda} and \textit{E. Tiberio}, J. Mech. Phys. Solids 48, No. 6--7, 1389--1411 (2000; Zbl 0984.74070) Full Text: DOI
Ponte Castañeda, Pedro; Tiberio, Emilio Homogenization estimates for hyperelastic composites and particle-reinforced rubbers. (English. Abridged French version) Zbl 0976.74056 C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. Phys. Astron. 327, No. 13, 1297-1304 (1999). MSC: 74Q20 74A40 74E30 PDFBibTeX XMLCite \textit{P. Ponte Castañeda} and \textit{E. Tiberio}, C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. Phys. Astron. 327, No. 13, 1297--1304 (1999; Zbl 0976.74056) Full Text: DOI
Nebozhyn, M. V.; Ponte Castañeda, P. The second-order procedure: Exact vs approximate results for isotropic, two-phase composites. (English) Zbl 0990.74052 J. Mech. Phys. Solids 47, No. 10, 2171-2185 (1999). Reviewer: Dan Polisevski (Bucureşti) MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{M. V. Nebozhyn} and \textit{P. Ponte Castañeda}, J. Mech. Phys. Solids 47, No. 10, 2171--2185 (1999; Zbl 0990.74052) Full Text: DOI
Ponte Castañeda, P.; Willis, J. R. Variational second-order estimates for nonlinear composites. (English) Zbl 0984.74071 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1985, 1799-1811 (1999). Reviewer: Igor Andrianov (Köln) MSC: 74Q20 74A40 74E30 PDFBibTeX XMLCite \textit{P. Ponte Castañeda} and \textit{J. R. Willis}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1985, 1799--1811 (1999; Zbl 0984.74071) Full Text: DOI
Ponte Castañeda, Pedro; Suquet, Pierre Nonlinear composites. (English) Zbl 0889.73049 Adv. Appl. Mech. 34, 171-302 (1998). MSC: 74E30 74S30 74P10 74-02 74A40 PDFBibTeX XMLCite \textit{P. Ponte Castañeda} and \textit{P. Suquet}, in: Advances in Applied Mechanics. Vol. 34. San Diego, CA: Academic Press. 171--302 (1998; Zbl 0889.73049)
Ponte Castañeda, P. Exact second-order estimates for the effective mechanical properties of nonlinear composite materials. (English) Zbl 1054.74708 J. Mech. Phys. Solids 44, No. 6, 827-862 (1996). MSC: 74Q20 74A40 74E30 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, J. Mech. Phys. Solids 44, No. 6, 827--862 (1996; Zbl 1054.74708) Full Text: DOI
Ponte Castañeda, Pedro Une théorie exacte à l’ordre 2 pour les matériaux composites non linéaires. (A second-order theory for nonlinear composite materials.) (English. Abridged French version) Zbl 0926.74010 C. R. Acad. Sci., Paris, Sér. II, Fasc. b 322, No. 1, 3-10 (1996). MSC: 74A40 74Q20 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, C. R. Acad. Sci., Paris, Sér. II, Fasc. b 322, No. 1, 3--10 (1996; Zbl 0926.74010)
Ponte Castañeda, P.; deBotton, G. On the homogenized yield strength of two-phase composites. (English) Zbl 0768.73006 Proc. R. Soc. Lond., Ser. A 438, No. 1903, 419-431 (1992). Reviewer: Th.Lévy (Paris) MSC: 74E05 74C99 74E30 PDFBibTeX XMLCite \textit{P. Ponte Castañeda} and \textit{G. deBotton}, Proc. R. Soc. Lond., Ser. A 438, No. 1903, 419--431 (1992; Zbl 0768.73006) Full Text: DOI
Ponte Castañeda, P. Bounds and estimates for the properties of nonlinear heterogeneous systems. (English) Zbl 0776.73062 Philos. Trans. R. Soc. Lond., Ser. A 340, No. 1659, 531-567 (1992). Reviewer: S.Minagawa (Tokyo) MSC: 74F15 74S30 74P10 74E30 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, Philos. Trans. R. Soc. Lond., Ser. A 340, No. 1659, 531--567 (1992; Zbl 0776.73062) Full Text: DOI
Ponte Castañeda, P. New variational principles in plasticity and their application to composite materials. (English) Zbl 0764.73103 J. Mech. Phys. Solids 40, No. 8, 1757-1788 (1992). MSC: 74S30 74P10 74R20 74E30 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, J. Mech. Phys. Solids 40, No. 8, 1757--1788 (1992; Zbl 0764.73103) Full Text: DOI
Ponte Castañeda, P. The effective mechanical properties of nonlinear isotropic composites. (English) Zbl 0734.73052 J. Mech. Phys. Solids 39, No. 1, 45-71 (1991). MSC: 74E30 74S30 74P10 PDFBibTeX XMLCite \textit{P. Ponte Castañeda}, J. Mech. Phys. Solids 39, No. 1, 45--71 (1991; Zbl 0734.73052) Full Text: DOI