Edit Profile (opens in new tab) Idiart, Martín I. Co-Author Distance Author ID: idiart.martin-i Published as: Idiart, Martín I.; Idiart, M. I.; Idiart, Martin I.; Idiart, Martín; Idiart, M. more...less External Links: MGP Documents Indexed: 34 Publications since 2003 Co-Authors: 20 Co-Authors with 29 Joint Publications 302 Co-Co-Authors all top 5 Co-Authors 5 single-authored 12 Ponte Castañeda, Pedro 4 Lahellec, Noël 4 Lopez-Pamies, Oscar 3 Bottero, Cristian J. 3 Danas, Kostas 3 Suquet, Pierre-Marie 2 Gallican, Valentin 2 Nakamura, Toshio 1 Curto Sillamoni, Ignacio J. 1 Deshpande, Vikram S. 1 Fleck, Norman A. 1 Lebensohn, Ricardo A. 1 Moulinec, Hervé 1 Ochoa, Ignacio 1 Pellegrini, Yves-Patrick 1 Ramos Nervi, Juan E. 1 Suarez-Afanador, Camilo A. 1 Willis, John Raymond 1 Willot, François 1 Zecevic, Miroslav all top 5 Serials 6 Journal of the Mechanics and Physics of Solids 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Comptes Rendus. Mécanique. Académie des Sciences, Paris 3 International Journal of Solids and Structures 3 Journal of Engineering Mathematics 2 Journal of Elasticity 2 European Journal of Mechanics. A. Solids 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Acta Mechanica 1 International Journal of Engineering Science 1 Meccanica 1 Mechanics Research Communications 1 SIAM Journal on Applied Mathematics 1 Continuum Mechanics and Thermodynamics Fields 33 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 241 times in 131 Documents Cited by ▼ Year ▼ 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. 31 2006 Field statistics in nonlinear composites. I: Theory. Zbl 1129.74036 Idiart, Martín I.; Ponte Castañeda, Pedro 20 2007 A homogenization-based constitutive model for isotropic viscoplastic porous media. Zbl 1169.74384 Danas, K.; Idiart, M. I.; Ponte Castañeda, P. 19 2008 Cavitation in elastomeric solids. I: A defect-growth theory. Zbl 1270.74025 Lopez-Pamies, Oscar; Idiart, Martín I.; Nakamura, Toshio 19 2011 Modeling the macroscopic behavior of two-phase nonlinear composites by infinite-rank laminates. Zbl 1171.74407 Idiart, Martín I. 16 2008 Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory. Zbl 1303.74013 Lopez-Pamies, Oscar; Idiart, Martín I. 13 2010 Size effects in the bending of thin foils. Zbl 1213.74065 Idiart, M. I.; Deshpande, V. S.; Fleck, N. A.; Willis, J. R. 12 2009 Variational linear comparison bounds for nonlinear composites with anisotropic phases. I: General results. Zbl 1134.74043 Idiart, Martín I.; Ponte Castañeda, Pedro 11 2007 Cavitation in elastomeric solids. II: Onset-of-cavitation surfaces for neo-Hookean materials. Zbl 1270.74026 Lopez-Pamies, Oscar; Nakamura, Toshio; Idiart, Martín I. 10 2011 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 Field fluctuations and macroscopic properties for nonlinear composites. Zbl 1070.74038 Idiart, M.; Ponte Castañeda, P. 8 2003 Second-order theory for nonlinear composites and application to isotropic constituents. Zbl 1287.74003 Idiart, Martín I.; Danas, Kostas; Ponte Castañeda, Pedro 8 2006 A homogenization-based constitutive model for two-dimensional viscoplastic porous media. Zbl 1133.74035 Danas, Kostas; Idiart, Martin I.; Ponte Castañeda, Pedro 7 2008 Nonlinear sequential laminates reproducing hollow sphere assemblages. Zbl 1137.74049 Idiart, Martín I. 7 2007 An exact result for the macroscopic response of porous neo-Hookean solids. Zbl 1160.74019 Lopez-Pamies, Oscar; Idiart, Martín I. 7 2009 Second-order estimates for nonlinear isotropic composites with spherical pores and rigid particles. Zbl 1223.74013 Idiart, Martín; Castañeda, Pedro Ponte 6 2005 The macroscopic behavior of power-law and ideally plastic materials with elliptical distribution of porosity. Zbl 1258.74179 Idiart, Martín I. 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 Field statistics in nonlinear composites. II: Applications. Zbl 1129.74037 Idiart, Martín I.; Ponte Castañeda, Pedro 4 2007 Model reduction by mean-field homogenization in viscoelastic composites. I: Primal theory. Zbl 1472.74181 Idiart, Martín I.; Lahellec, Noel; Suquet, Pierre 4 2020 Estimates for the overall linear properties of pointwise heterogeneous solids with application to elasto-viscoplasticity. Zbl 1451.74198 Idiart, Martín I.; Lahellec, Noel 4 2016 Estimates for two-phase nonlinear conductors via iterated homogenization. Zbl 1371.78344 Idiart, Martín I.; Ponte Castañeda, Pedro 3 2013 Model reduction by mean-field homogenization in viscoelastic composites. II: Application to rigidly reinforced solids. Zbl 1472.74182 Idiart, Martín I.; Lahellec, Noel; Suquet, Pierre 3 2020 An evaluation of a class of phenomenological theories of ferroelectricity in polycrystalline ceramics. Zbl 1444.74017 Bottero, Cristian J.; Idiart, Martín I. 3 2018 The elastic properties of dilute solid suspensions with imperfect interfacial bonding: variational approximations versus full-field simulations. Zbl 1524.74041 Gallican, Valentin; Zecevic, Miroslav; Lebensohn, Ricardo A.; Idiart, Martín I. 3 2023 A phenomenological constitutive theory for polycrystalline ferroelectric ceramics based on orientation distribution functions. Zbl 1458.74042 Idiart, Martín I.; Bottero, Cristian J. 2 2020 Multiphase conductors realizing Aleksandrov’s mean. Zbl 1355.78043 Idiart, Martín I. 1 2016 The elastic properties of dilute solid suspensions with imperfect interfacial bonding: variational approximations versus full-field simulations. Zbl 1524.74041 Gallican, Valentin; Zecevic, Miroslav; Lebensohn, Ricardo A.; Idiart, Martín I. 3 2023 Model reduction by mean-field homogenization in viscoelastic composites. I: Primal theory. Zbl 1472.74181 Idiart, Martín I.; Lahellec, Noel; Suquet, Pierre 4 2020 Model reduction by mean-field homogenization in viscoelastic composites. II: Application to rigidly reinforced solids. Zbl 1472.74182 Idiart, Martín I.; Lahellec, Noel; Suquet, Pierre 3 2020 A phenomenological constitutive theory for polycrystalline ferroelectric ceramics based on orientation distribution functions. Zbl 1458.74042 Idiart, Martín I.; Bottero, Cristian J. 2 2020 An evaluation of a class of phenomenological theories of ferroelectricity in polycrystalline ceramics. Zbl 1444.74017 Bottero, Cristian J.; Idiart, Martín I. 3 2018 Estimates for the overall linear properties of pointwise heterogeneous solids with application to elasto-viscoplasticity. Zbl 1451.74198 Idiart, Martín I.; Lahellec, Noel 4 2016 Multiphase conductors realizing Aleksandrov’s mean. Zbl 1355.78043 Idiart, Martín I. 1 2016 Estimates for two-phase nonlinear conductors via iterated homogenization. Zbl 1371.78344 Idiart, Martín I.; Ponte Castañeda, Pedro 3 2013 Cavitation in elastomeric solids. I: A defect-growth theory. Zbl 1270.74025 Lopez-Pamies, Oscar; Idiart, Martín I.; Nakamura, Toshio 19 2011 Cavitation in elastomeric solids. II: Onset-of-cavitation surfaces for neo-Hookean materials. Zbl 1270.74026 Lopez-Pamies, Oscar; Nakamura, Toshio; Idiart, Martín I. 10 2011 Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory. Zbl 1303.74013 Lopez-Pamies, Oscar; Idiart, Martín I. 13 2010 Size effects in the bending of thin foils. Zbl 1213.74065 Idiart, M. I.; Deshpande, V. S.; Fleck, N. A.; Willis, J. R. 12 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 An exact result for the macroscopic response of porous neo-Hookean solids. Zbl 1160.74019 Lopez-Pamies, Oscar; Idiart, Martín I. 7 2009 A homogenization-based constitutive model for isotropic viscoplastic porous media. Zbl 1169.74384 Danas, K.; Idiart, M. I.; Ponte Castañeda, P. 19 2008 Modeling the macroscopic behavior of two-phase nonlinear composites by infinite-rank laminates. Zbl 1171.74407 Idiart, Martín I. 16 2008 A homogenization-based constitutive model for two-dimensional viscoplastic porous media. Zbl 1133.74035 Danas, Kostas; Idiart, Martin I.; Ponte Castañeda, Pedro 7 2008 The macroscopic behavior of power-law and ideally plastic materials with elliptical distribution of porosity. Zbl 1258.74179 Idiart, Martín I. 6 2008 Field statistics in nonlinear composites. I: Theory. Zbl 1129.74036 Idiart, Martín I.; Ponte Castañeda, Pedro 20 2007 Variational linear comparison bounds for nonlinear composites with anisotropic phases. I: General results. Zbl 1134.74043 Idiart, Martín I.; Ponte Castañeda, Pedro 11 2007 Nonlinear sequential laminates reproducing hollow sphere assemblages. Zbl 1137.74049 Idiart, Martín I. 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 4 2007 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. 31 2006 Second-order theory for nonlinear composites and application to isotropic constituents. Zbl 1287.74003 Idiart, Martín I.; Danas, Kostas; Ponte Castañeda, Pedro 8 2006 Second-order estimates for nonlinear isotropic composites with spherical pores and rigid particles. Zbl 1223.74013 Idiart, Martín; Castañeda, Pedro Ponte 6 2005 Field fluctuations and macroscopic properties for nonlinear composites. Zbl 1070.74038 Idiart, M.; Ponte Castañeda, P. 8 2003 all cited Publications top 5 cited Publications all top 5 Cited by 211 Authors 21 Idiart, Martín I. 18 Ponte Castañeda, Pedro 13 Lopez-Pamies, Oscar 9 Suquet, Pierre-Marie 8 Lahellec, Noël 5 Kondo, Djimédo 4 Danas, Kostas 4 deBotton, Gal 4 Henao, Duvan A. 3 Chi, Heng 3 Monchiet, Vincent 3 Moulinec, Hervé 3 Pastor, Franck 3 Paulino, Glaucio H. 2 Agoras, M. 2 Bottero, Cristian J. 2 Brenner, Renald 2 Cañulef-Aguilar, Victor 2 Charalambakis, Nicolas Ch. 2 Cohen, Tal 2 Dahlberg, Carl F. O. 2 Doghri, Issam 2 Durban, David 2 Furer, Joshua 2 Gallican, Valentin 2 Gărăjeu, Mihail 2 Kamiński, Marcin Marek 2 Lange, Stephan 2 Latypov, Marat I. 2 Lefèvre, Victor 2 Michel, Jean-Claude 2 Murat, François 2 Nakamura, Toshio 2 Pastor, Joseph 2 Ricoeur, Andreas 2 Shmuel, Gal 2 Talischi, Cameron 2 Tóth, László S. 1 Acharya, Amit 1 Adam, Laurent 1 Agnew, Sean R. 1 Aranda-Iglesias, Damian 1 Auslender, François 1 Avazmohammadi, Reza 1 Baccou, Jean 1 Bacroix, Brigitte 1 Badulescu, Claudiu 1 Bardella, Lorenzo 1 Bellis, Cédric 1 Bignonnet, François 1 Bilger, Nicolas 1 Boittin, Guylaine 1 Bonnet, Guy 1 Bornert, Michel 1 Bouaziz, Olivier 1 Bouchart, Vanessa 1 Bouvier, Salima 1 Brändel, Matthias 1 Brander, Tommi 1 Brands, Dominik 1 Brieu, Mathias 1 Capuano, German 1 Cartraud, Patrice 1 Chagnon, Gregory 1 Charkaluk, Eric 1 Chiang, Martin Y. M. 1 Chiricotto, Maria 1 Clausen, Bjørn 1 Darvishvand, Amer 1 Desmorat, Rodrigue 1 Dong, Hongjie 1 Dormieux, Luc 1 El Ghezal, M. I. 1 Faleskog, Jonas 1 Fan, Jitang 1 Favier, Denis 1 Feng, Xiqiao 1 Ferrier, Renaud 1 Fitt, Danielle 1 Fleck, Norman A. 1 Fournage, M. 1 Francfort, Gilles A. 1 Fuentes-Alonso, Sandra 1 Galipeau, E. 1 Gan, Bin 1 Gao, Cun-Fa 1 Gărăjeu, Mihai 1 Garnica, Alvaro 1 Ghosh, Kamalendu 1 Giacomelli, Lorenzo 1 Goriely, Alain 1 Grillo, Alfio 1 Gueguen, Mikaël 1 Guo, Xiang 1 Hassen, Ghazi 1 He, Qichang 1 Humer, Alexander 1 Ilmavirta, Joonas 1 Javili, Ali 1 Julien, Jérôme ...and 111 more Authors all top 5 Cited in 31 Serials 25 European Journal of Mechanics. A. Solids 18 Journal of the Mechanics and Physics of Solids 14 Journal of Elasticity 13 Computer Methods in Applied Mechanics and Engineering 7 Acta Mechanica 7 International Journal of Solids and Structures 6 International Journal for Numerical Methods in Engineering 5 Computational Mechanics 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 International Journal of Engineering Science 3 International Journal of Plasticity 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Engineering Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Houston Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Meccanica 1 Mechanics Research Communications 1 Quarterly of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 Archive of Applied Mechanics 1 Mathematics and Mechanics of Solids 1 Interfaces and Free Boundaries 1 Inverse Problems and Imaging 1 Science China. Mathematics 1 Journal of Theoretical Biology all top 5 Cited in 15 Fields 125 Mechanics of deformable solids (74-XX) 11 Numerical analysis (65-XX) 8 Partial differential equations (35-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year