Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas An FE-DMN method for the multiscale analysis of short fiber reinforced plastic components. (English) Zbl 07415252 Comput. Methods Appl. Mech. Eng. 384, Article ID 113952, 30 p. (2021). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{S. Gajek} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113952, 30 p. (2021; Zbl 07415252) Full Text: DOI arXiv OpenURL
Wang, Yiqiang; Groen, Jeroen P.; Sigmund, Ole Plate microstructures with extreme stiffness for arbitrary multi-loadings. (English) Zbl 07414335 Comput. Methods Appl. Mech. Eng. 381, Article ID 113778, 16 p. (2021). MSC: 70-XX 74-XX PDF BibTeX XML Cite \textit{Y. Wang} et al., Comput. Methods Appl. Mech. Eng. 381, Article ID 113778, 16 p. (2021; Zbl 07414335) Full Text: DOI OpenURL
Groen, Jeroen P.; Stutz, Florian C.; Aage, Niels; Bærentzen, Jakob A.; Sigmund, Ole De-homogenization of optimal multi-scale 3D topologies. (English) Zbl 1442.74148 Comput. Methods Appl. Mech. Eng. 364, Article ID 112979, 22 p. (2020). MSC: 74M25 74P10 74Q99 PDF BibTeX XML Cite \textit{J. P. Groen} et al., Comput. Methods Appl. Mech. Eng. 364, Article ID 112979, 22 p. (2020; Zbl 1442.74148) Full Text: DOI arXiv OpenURL
Hardin, Thomas J.; Schuh, Christopher A. Fast finite element calculation of effective conductivity of random continuum microstructures: the recursive Poincaré-Steklov operator method. (English) Zbl 1376.78017 J. Comput. Phys. 342, 1-12 (2017). MSC: 78M40 78A48 78M10 PDF BibTeX XML Cite \textit{T. J. Hardin} and \textit{C. A. Schuh}, J. Comput. Phys. 342, 1--12 (2017; Zbl 1376.78017) Full Text: DOI OpenURL
Antimonov, Mikhail A.; Cherkaev, Andrej; Freidin, Alexander B. Phase transformations surfaces and exact energy lower bounds. (English) Zbl 1423.74206 Int. J. Eng. Sci. 98, 153-182 (2016). MSC: 74E30 74M25 74E05 82B26 PDF BibTeX XML Cite \textit{M. A. Antimonov} et al., Int. J. Eng. Sci. 98, 153--182 (2016; Zbl 1423.74206) Full Text: DOI arXiv OpenURL
Yang, Yang; Lei, Chihou; Gao, Cun-Fa; Li, Jiangyu Asymptotic homogenization of three-dimensional thermoelectric composites. (English) Zbl 1349.74029 J. Mech. Phys. Solids 76, 98-126 (2015). MSC: 74A40 74F15 74F05 PDF BibTeX XML Cite \textit{Y. Yang} et al., J. Mech. Phys. Solids 76, 98--126 (2015; Zbl 1349.74029) Full Text: DOI OpenURL
Spinelli, Stephen A.; Lefèvre, Victor; Lopez-Pamies, Oscar Dielectric elastomer composites: a general closed-form solution in the small-deformation limit. (English) Zbl 1327.74030 J. Mech. Phys. Solids 83, 263-284 (2015). MSC: 74B15 82D60 74F15 74Qxx PDF BibTeX XML Cite \textit{S. A. Spinelli} et al., J. Mech. Phys. Solids 83, 263--284 (2015; Zbl 1327.74030) Full Text: DOI OpenURL
Du, Zongliang; Guo, Xu Variational principles and the related bounding theorems for bi-modulus materials. (English) Zbl 1349.74293 J. Mech. Phys. Solids 73, 183-211 (2014). MSC: 74P10 PDF BibTeX XML Cite \textit{Z. Du} and \textit{X. Guo}, J. Mech. Phys. Solids 73, 183--211 (2014; Zbl 1349.74293) Full Text: DOI OpenURL
Kochmann, Dennis M.; Milton, Graeme W. Rigorous bounds on the effective moduli of composites and inhomogeneous bodies with negative-stiffness phases. (English) Zbl 1328.74075 J. Mech. Phys. Solids 71, 46-63 (2014). MSC: 74Q20 35B35 74E30 74B05 70G75 35Q74 PDF BibTeX XML Cite \textit{D. M. Kochmann} and \textit{G. W. Milton}, J. Mech. Phys. Solids 71, 46--63 (2014; Zbl 1328.74075) Full Text: DOI arXiv Link OpenURL
Craster, R. V.; Kaplunov, J.; Nolde, E.; Guenneau, S. Bloch dispersion and high frequency homogenization for separable doubly-periodic structures. (English) Zbl 1360.78015 Wave Motion 49, No. 2, 333-346 (2012). MSC: 78A30 78M40 35J05 35B27 35C07 PDF BibTeX XML Cite \textit{R. V. Craster} et al., Wave Motion 49, No. 2, 333--346 (2012; Zbl 1360.78015) Full Text: DOI Link OpenURL
Dossou, Kokou B.; Botten, Lindsay C. A combined three-dimensional finite element and scattering matrix method for the analysis of plane wave diffraction by bi-periodic, multilayered structures. (English) Zbl 1284.65165 J. Comput. Phys. 231, No. 20, 6969-6989 (2012). MSC: 65N30 35L05 82D30 PDF BibTeX XML Cite \textit{K. B. Dossou} and \textit{L. C. Botten}, J. Comput. Phys. 231, No. 20, 6969--6989 (2012; Zbl 1284.65165) Full Text: DOI OpenURL
Ponte Castañeda, P. Bounds for nonlinear composites via iterated homogenization. (English) Zbl 1270.74055 J. Mech. Phys. Solids 60, No. 9, 1583-1604 (2012). MSC: 74E30 74B10 74C99 PDF BibTeX XML Cite \textit{P. Ponte Castañeda}, J. Mech. Phys. Solids 60, No. 9, 1583--1604 (2012; Zbl 1270.74055) Full Text: DOI Link OpenURL
Mogilevskaya, Sofia G.; Stolarski, Henryk K.; Crouch, Steven L. On Maxwell’s concept of equivalent inhomogeneity: when do the interactions matter? (English) Zbl 1244.74012 J. Mech. Phys. Solids 60, No. 3, 391-417 (2012). MSC: 74A40 78A48 74B05 74F15 PDF BibTeX XML Cite \textit{S. G. Mogilevskaya} et al., J. Mech. Phys. Solids 60, No. 3, 391--417 (2012; Zbl 1244.74012) Full Text: DOI OpenURL
Norris, A. N.; Shuvalov, A. L. Elastic cloaking theory. (English) Zbl 1283.74024 Wave Motion 48, No. 6, 525-538 (2011). MSC: 74J10 74B05 74E10 PDF BibTeX XML Cite \textit{A. N. Norris} and \textit{A. L. Shuvalov}, Wave Motion 48, No. 6, 525--538 (2011; Zbl 1283.74024) Full Text: DOI arXiv OpenURL
Gu, S. T.; He, Q. C. Interfacial discontinuity relations for coupled multifield phenomena and their application to the modeling of thin interphases as imperfect interfaces. (English) Zbl 1270.74037 J. Mech. Phys. Solids 59, No. 7, 1413-1426 (2011). MSC: 74E05 74A99 PDF BibTeX XML Cite \textit{S. T. Gu} and \textit{Q. C. He}, J. Mech. Phys. Solids 59, No. 7, 1413--1426 (2011; Zbl 1270.74037) Full Text: DOI Link OpenURL
Nolde, E.; Craster, R. V.; Kaplunov, J. High frequency homogenization for structural mechanics. (English) Zbl 1270.74166 J. Mech. Phys. Solids 59, No. 3, 651-671 (2011). MSC: 74Q10 74H45 PDF BibTeX XML Cite \textit{E. Nolde} et al., J. Mech. Phys. Solids 59, No. 3, 651--671 (2011; Zbl 1270.74166) Full Text: DOI Link OpenURL
Chinh, Pham Duc Bounds on the effective conductivity of statistically isotropic multicomponent materials and random cell polycrystals. (English) Zbl 1270.74169 J. Mech. Phys. Solids 59, No. 3, 497-510 (2011). MSC: 74Q20 74E35 PDF BibTeX XML Cite \textit{P. D. Chinh}, J. Mech. Phys. Solids 59, No. 3, 497--510 (2011; Zbl 1270.74169) Full Text: DOI Link OpenURL
Ponte Castañeda, P.; Galipeau, E. Homogenization-based constitutive models for magnetorheological elastomers at finite strain. (English) Zbl 1270.74075 J. Mech. Phys. Solids 59, No. 2, 194-215 (2011). MSC: 74F15 74B20 74Q05 PDF BibTeX XML Cite \textit{P. Ponte Castañeda} and \textit{E. Galipeau}, J. Mech. Phys. Solids 59, No. 2, 194--215 (2011; Zbl 1270.74075) Full Text: DOI Link OpenURL
Helsing, Johan The effective conductivity of arrays of squares: Large random unit cells and extreme contrast ratios. (English) Zbl 1231.78012 J. Comput. Phys. 230, No. 20, 7533-7547 (2011). MSC: 78A30 78A48 78M20 45B05 65H10 65F08 65F10 PDF BibTeX XML Cite \textit{J. Helsing}, J. Comput. Phys. 230, No. 20, 7533--7547 (2011; Zbl 1231.78012) Full Text: DOI arXiv OpenURL
Zhang, Dali; Cherkaev, Elena; Lamoureux, Michael P. Stieltjes representation of the 3D Bruggeman effective medium and Padé approximation. (English) Zbl 1214.78007 Appl. Math. Comput. 217, No. 17, 7092-7107 (2011). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A48 78A46 PDF BibTeX XML Cite \textit{D. Zhang} et al., Appl. Math. Comput. 217, No. 17, 7092--7107 (2011; Zbl 1214.78007) Full Text: DOI OpenURL
Visintin, Augusto Homogenization of a parabolic model of ferromagnetism. (English) Zbl 1213.35066 J. Differ. Equations 250, No. 3, 1521-1552 (2011). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35A15 49J40 78A25 35K59 35K65 47H06 PDF BibTeX XML Cite \textit{A. Visintin}, J. Differ. Equations 250, No. 3, 1521--1552 (2011; Zbl 1213.35066) Full Text: DOI OpenURL
Benveniste, Yakov; Milton, Graeme W. The effective medium and the average field approximations vis-à-vis the Hashin-Shtrikman bounds. I: The self-consistent scheme in matrix-based composites. (English) Zbl 1244.74009 J. Mech. Phys. Solids 58, No. 7, 1026-1038 (2010). MSC: 74A40 74M25 74E30 74B05 PDF BibTeX XML Cite \textit{Y. Benveniste} and \textit{G. W. Milton}, J. Mech. Phys. Solids 58, No. 7, 1026--1038 (2010; Zbl 1244.74009) Full Text: DOI OpenURL
Berdichevsky, Victor L. Distribution of local fields in composites. (English) Zbl 1231.74076 Int. J. Eng. Sci. 48, No. 11, 1006-1019 (2010). MSC: 74E30 74A40 35B27 74Q05 PDF BibTeX XML Cite \textit{V. L. Berdichevsky}, Int. J. Eng. Sci. 48, No. 11, 1006--1019 (2010; Zbl 1231.74076) Full Text: DOI OpenURL
He, Q.-C.; Gu, S.-T.; Zhu, Q.-Z. Lower strain and stress bounds for elastic random composites consisting of two isotropic phases and exhibiting cubic symmetry. (English) Zbl 1213.74034 Int. J. Eng. Sci. 48, No. 4, 429-445 (2010). MSC: 74A40 74A60 74N15 PDF BibTeX XML Cite \textit{Q. C. He} et al., Int. J. Eng. Sci. 48, No. 4, 429--445 (2010; Zbl 1213.74034) Full Text: DOI OpenURL
Suvorov, A. P.; Selvadurai, A. P. S. Macroscopic constitutive equations of thermo-poroviscoelasticity derived using eigenstrains. (English) Zbl 1200.74004 J. Mech. Phys. Solids 58, No. 10, 1461-1473 (2010). MSC: 74A20 74F10 74F05 74D99 PDF BibTeX XML Cite \textit{A. P. Suvorov} and \textit{A. P. S. Selvadurai}, J. Mech. Phys. Solids 58, No. 10, 1461--1473 (2010; Zbl 1200.74004) Full Text: DOI OpenURL
Ammari, Habib; Capdeboscq, Yves; Kang, Hyeonbae; Lee, Hyundae; Milton, Graeme W.; Zribi, Habib Progress on the strong Eshelby’s conjecture and extremal structures for the elastic moment tensor. (English) Zbl 1262.74018 J. Math. Pures Appl. (9) 94, No. 1, 93-106 (2010). MSC: 74G55 74B05 74Q05 PDF BibTeX XML Cite \textit{H. Ammari} et al., J. Math. Pures Appl. (9) 94, No. 1, 93--106 (2010; Zbl 1262.74018) Full Text: DOI arXiv OpenURL
Niez, J. J. Electromagnetic mixing laws: a supersymmetric approach. (English) Zbl 1192.78007 Ann. Phys. 325, No. 2, 392-425 (2010). Reviewer: Johannes Elschner (Berlin) MSC: 78A25 81Q60 PDF BibTeX XML Cite \textit{J. J. Niez}, Ann. Phys. 325, No. 2, 392--425 (2010; Zbl 1192.78007) Full Text: DOI OpenURL
Kanuparthi, S.; Rayasam, M.; Subbarayan, G.; Sammakia, B.; Gowda, A.; Tonapi, S. Hierarchical field compositions for simulations of near-percolation thermal transport in particulate materials. (English) Zbl 1229.74154 Comput. Methods Appl. Mech. Eng. 198, No. 5-8, 657-668 (2009). MSC: 74S30 74F05 80A20 PDF BibTeX XML Cite \textit{S. Kanuparthi} et al., Comput. Methods Appl. Mech. Eng. 198, No. 5--8, 657--668 (2009; Zbl 1229.74154) Full Text: DOI OpenURL
Yvonnet, J.; Gonzalez, D.; He, Q.-C. Numerically explicit potentials for the homogenization of nonlinear elastic heterogeneous materials. (English) Zbl 1228.74067 Comput. Methods Appl. Mech. Eng. 198, No. 33-36, 2723-2737 (2009). MSC: 74Q05 74Q15 74E30 74B20 PDF BibTeX XML Cite \textit{J. Yvonnet} et al., Comput. Methods Appl. Mech. Eng. 198, No. 33--36, 2723--2737 (2009; Zbl 1228.74067) Full Text: DOI Link OpenURL
Freidin, A. B.; Vilchevskaya, E. N. Multiple development of new phase inclusions in elastic solids. (English) Zbl 1213.74244 Int. J. Eng. Sci. 47, No. 2, 240-260 (2009). MSC: 74N99 74A40 PDF BibTeX XML Cite \textit{A. B. Freidin} and \textit{E. N. Vilchevskaya}, Int. J. Eng. Sci. 47, No. 2, 240--260 (2009; Zbl 1213.74244) Full Text: DOI OpenURL
Avazmohammadi, R.; Naghdabadi, R. Strain energy-based homogenization of nonlinear elastic particulate composites. (English) Zbl 1213.74247 Int. J. Eng. Sci. 47, No. 10, 1038-1048 (2009). MSC: 74Q05 74A40 74B20 PDF BibTeX XML Cite \textit{R. Avazmohammadi} and \textit{R. Naghdabadi}, Int. J. Eng. Sci. 47, No. 10, 1038--1048 (2009; Zbl 1213.74247) Full Text: DOI OpenURL
Zhang, Dali; Cherkaev, Elena Reconstruction of spectral function from effective permittivity of a composite material using rational function approximations. (English) Zbl 1280.78005 J. Comput. Phys. 228, No. 15, 5390-5409 (2009). MSC: 78A48 41A20 41A21 74Q05 78M40 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{E. Cherkaev}, J. Comput. Phys. 228, No. 15, 5390--5409 (2009; Zbl 1280.78005) Full Text: DOI OpenURL
Babadjian, Jean-François; Barchiesi, Marco A variational approach to the local character of \(G\)-closure: the convex case. (English) Zbl 1173.35012 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 351-373 (2009). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35B40 74B20 74E30 74Q05 PDF BibTeX XML Cite \textit{J.-F. Babadjian} and \textit{M. Barchiesi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 2, 351--373 (2009; Zbl 1173.35012) Full Text: DOI arXiv EuDML OpenURL
Ding, Xia; Jia, Yan-Xia; Wang, Xia Effective nonlinear AC response to graded cylindrical composites. (English) Zbl 1221.82134 Phys. Lett., A 372, No. 23, 4247-4252 (2008). MSC: 82D37 93C80 78A48 74A40 74E30 PDF BibTeX XML Cite \textit{X. Ding} et al., Phys. Lett., A 372, No. 23, 4247--4252 (2008; Zbl 1221.82134) Full Text: DOI OpenURL
Kuo, Hsin-Yi; Chen, Tungyang Electrostatic fields of an infinite medium containing arbitrarily positioned coated cylinders. (English) Zbl 1214.78003 Int. J. Eng. Sci. 46, No. 11, 1157-1172 (2008). MSC: 78A30 PDF BibTeX XML Cite \textit{H.-Y. Kuo} and \textit{T. Chen}, Int. J. Eng. Sci. 46, No. 11, 1157--1172 (2008; Zbl 1214.78003) Full Text: DOI OpenURL
Idiart, Martín I. Modeling the macroscopic behavior of two-phase nonlinear composites by infinite-rank laminates. (English) Zbl 1171.74407 J. Mech. Phys. Solids 56, No. 8, 2599-2617 (2008). MSC: 74Q15 74E30 74G05 PDF BibTeX XML Cite \textit{M. I. Idiart}, J. Mech. Phys. Solids 56, No. 8, 2599--2617 (2008; Zbl 1171.74407) Full Text: DOI OpenURL
Berdichevsky, Victor L. Entropy of microstructure. (English) Zbl 1149.74008 J. Mech. Phys. Solids 56, No. 3, 742-771 (2008). MSC: 74A15 74A60 74E35 74Q05 PDF BibTeX XML Cite \textit{V. L. Berdichevsky}, J. Mech. Phys. Solids 56, No. 3, 742--771 (2008; Zbl 1149.74008) Full Text: DOI OpenURL
Visintin, Augusto Homogenization of nonlinear visco-elastic composites. (English) Zbl 1166.35004 J. Math. Pures Appl. (9) 89, No. 5, 477-504 (2008). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 49J45 74D10 74Q10 PDF BibTeX XML Cite \textit{A. Visintin}, J. Math. Pures Appl. (9) 89, No. 5, 477--504 (2008; Zbl 1166.35004) Full Text: DOI Link OpenURL
Briane, M.; Manceau, D.; Milton, G. W. Homogenization of the two-dimensional Hall effect. (English) Zbl 1206.78090 J. Math. Anal. Appl. 339, No. 2, 1468-1484 (2008). MSC: 78M40 78A25 35B27 49J45 PDF BibTeX XML Cite \textit{M. Briane} et al., J. Math. Anal. Appl. 339, No. 2, 1468--1484 (2008; Zbl 1206.78090) Full Text: DOI HAL OpenURL
Almqvist, Andreas; Lukkassen, Dag; Meidell, Annette; Wall, Peter New concepts of homogenization applied in rough surface hydrodynamic lubrication. (English) Zbl 1213.76151 Int. J. Eng. Sci. 45, No. 1, 139-154 (2007). MSC: 76M50 76D08 PDF BibTeX XML Cite \textit{A. Almqvist} et al., Int. J. Eng. Sci. 45, No. 1, 139--154 (2007; Zbl 1213.76151) Full Text: DOI Link OpenURL
Le Quang, H.; He, Q.-C. Thermoelastic composites with columnar microstructure and cylindrically anisotropic phases. I: Exact results. (English) Zbl 1213.74103 Int. J. Eng. Sci. 45, No. 2-8, 402-423 (2007). MSC: 74F05 74E10 74E30 74Q15 PDF BibTeX XML Cite \textit{H. Le Quang} and \textit{Q. C. He}, Int. J. Eng. Sci. 45, No. 2--8, 402--423 (2007; Zbl 1213.74103) Full Text: DOI OpenURL
Sevostianov, Igor; Sabina, Federico J. Cross-property connections for fiber reinforced piezoelectric materials with anisotropic constituents. (English) Zbl 1213.74089 Int. J. Eng. Sci. 45, No. 9, 719-735 (2007). MSC: 74E30 74F15 PDF BibTeX XML Cite \textit{I. Sevostianov} and \textit{F. J. Sabina}, Int. J. Eng. Sci. 45, No. 9, 719--735 (2007; Zbl 1213.74089) Full Text: DOI OpenURL
Kuo, Hsin-Yi; Chen, Tungyang Electrostatic interactions of arbitrarily dispersed spheres with spherically transversely isotropic constituents. (English) Zbl 1213.78017 Int. J. Eng. Sci. 45, No. 12, 980-996 (2007). MSC: 78A30 78A48 78M25 PDF BibTeX XML Cite \textit{H.-Y. Kuo} and \textit{T. Chen}, Int. J. Eng. Sci. 45, No. 12, 980--996 (2007; Zbl 1213.78017) Full Text: DOI OpenURL
Xu, X. Frank A multiscale stochastic finite element method on elliptic problems involving uncertainties. (English) Zbl 1173.74449 Comput. Methods Appl. Mech. Eng. 196, No. 25-28, 2723-2736 (2007). MSC: 74S05 74S30 74Q05 PDF BibTeX XML Cite \textit{X. F. Xu}, Comput. Methods Appl. Mech. Eng. 196, No. 25--28, 2723--2736 (2007; Zbl 1173.74449) Full Text: DOI OpenURL
Le Quang, H.; He, Q.-C. Size-dependent effective thermoelastic properties of nanocomposites with spherically anisotropic phases. (English) Zbl 1173.74035 J. Mech. Phys. Solids 55, No. 9, 1899-1931 (2007). MSC: 74Q15 74E30 74M25 PDF BibTeX XML Cite \textit{H. Le Quang} and \textit{Q. C. He}, J. Mech. Phys. Solids 55, No. 9, 1899--1931 (2007; Zbl 1173.74035) Full Text: DOI OpenURL
Conti, S.; Lenz, M.; Rumpf, M. Modeling and simulation of magnetic-shape-memory polymer composites. (English) Zbl 1171.74014 J. Mech. Phys. Solids 55, No. 7, 1462-1486 (2007). MSC: 74E30 74S15 74Q15 PDF BibTeX XML Cite \textit{S. Conti} et al., J. Mech. Phys. Solids 55, No. 7, 1462--1486 (2007; Zbl 1171.74014) Full Text: DOI OpenURL
Hollister, Scott J.; Lin, Cheng Yu Computational design of tissue engineering scaffolds. (English) Zbl 1125.74031 Comput. Methods Appl. Mech. Eng. 196, No. 31-32, 2991-2998 (2007). MSC: 74L15 74Q20 74P15 92C10 PDF BibTeX XML Cite \textit{S. J. Hollister} and \textit{C. Y. Lin}, Comput. Methods Appl. Mech. Eng. 196, No. 31--32, 2991--2998 (2007; Zbl 1125.74031) Full Text: DOI OpenURL
Wei, En-Bo; Poon, Y. M. Effective thermal conductivity of graded nonlinear composites with heat contact resistance. (English) Zbl 1236.74069 Phys. Lett., A 359, No. 6, 685-692 (2006). MSC: 74F05 PDF BibTeX XML Cite \textit{E.-B. Wei} and \textit{Y. M. Poon}, Phys. Lett., A 359, No. 6, 685--692 (2006; Zbl 1236.74069) Full Text: DOI OpenURL
Proust, Gwénaëlle; Kalidindi, Surya R. Procedures for construction of anisotropic elastic-plastic property closures for face-centered cubic polycrystals using first-order bounding relations. (English) Zbl 1120.74399 J. Mech. Phys. Solids 54, No. 8, 1744-1762 (2006). MSC: 74E15 74E10 74Q15 PDF BibTeX XML Cite \textit{G. Proust} and \textit{S. R. Kalidindi}, J. Mech. Phys. Solids 54, No. 8, 1744--1762 (2006; Zbl 1120.74399) Full Text: DOI OpenURL
Duan, H. L.; Jiao, Y.; Yi, X.; Huang, Z. P.; Wang, J. Solutions of inhomogeneity problems with graded shells and application to core-shell nanoparticles and composites. (English) Zbl 1120.74376 J. Mech. Phys. Solids 54, No. 7, 1401-1425 (2006). MSC: 74E05 74K25 74E30 PDF BibTeX XML Cite \textit{H. L. Duan} et al., J. Mech. Phys. Solids 54, No. 7, 1401--1425 (2006; Zbl 1120.74376) Full Text: DOI OpenURL
Benveniste, Y. A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media. (English) Zbl 1120.74323 J. Mech. Phys. Solids 54, No. 4, 708-734 (2006). MSC: 74A50 74E10 74A40 PDF BibTeX XML Cite \textit{Y. Benveniste}, J. Mech. Phys. Solids 54, No. 4, 708--734 (2006; Zbl 1120.74323) Full Text: DOI OpenURL
Debotton, G.; Hariton, I.; Socolsky, E. A. Neo-Hookean fiber-reinforced composites in finite elasticity. (English) Zbl 1120.74317 J. Mech. Phys. Solids 54, No. 3, 533-559 (2006). MSC: 74A40 74B20 74Q15 PDF BibTeX XML Cite \textit{G. Debotton} et al., J. Mech. Phys. Solids 54, No. 3, 533--559 (2006; Zbl 1120.74317) Full Text: DOI OpenURL
Lipton, Robert Optimal lower bounds on the hydrostatic stress amplification inside random two-phase elastic composites. (English) Zbl 1176.74152 J. Mech. Phys. Solids 53, No. 11, 2471-2481 (2005). MSC: 74Q20 74E30 PDF BibTeX XML Cite \textit{R. Lipton}, J. Mech. Phys. Solids 53, No. 11, 2471--2481 (2005; Zbl 1176.74152) Full Text: DOI OpenURL
Berryman, James G. Bounds and self-consistent estimates for elastic constants of random polycrystals with hexagonal, trigonal, and tetragonal symmetries. (English) Zbl 1120.74732 J. Mech. Phys. Solids 53, No. 10, 2141-2173 (2005). MSC: 74Q20 74E15 74E35 PDF BibTeX XML Cite \textit{J. G. Berryman}, J. Mech. Phys. Solids 53, No. 10, 2141--2173 (2005; Zbl 1120.74732) Full Text: DOI Link OpenURL
Duan, H. L.; Wang, J.; Huang, Z. P.; Karihaloo, B. L. Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. (English) Zbl 1120.74718 J. Mech. Phys. Solids 53, No. 7, 1574-1596 (2005). MSC: 74Q15 74E30 PDF BibTeX XML Cite \textit{H. L. Duan} et al., J. Mech. Phys. Solids 53, No. 7, 1574--1596 (2005; Zbl 1120.74718) Full Text: DOI OpenURL
deBotton, G. Transversely isotropic sequentially laminated composites in finite elasticity. (English) Zbl 1120.74319 J. Mech. Phys. Solids 53, No. 6, 1334-1361 (2005). MSC: 74A40 74Q15 74B20 PDF BibTeX XML Cite \textit{G. deBotton}, J. Mech. Phys. Solids 53, No. 6, 1334--1361 (2005; Zbl 1120.74319) Full Text: DOI OpenURL
Vinogradov, V.; Milton, G. W. The total creep of viscoelastic composites under hydrostatic or antiplane loading. (English) Zbl 1120.74733 J. Mech. Phys. Solids 53, No. 6, 1248-1279 (2005). MSC: 74Q20 74D05 74A40 PDF BibTeX XML Cite \textit{V. Vinogradov} and \textit{G. W. Milton}, J. Mech. Phys. Solids 53, No. 6, 1248--1279 (2005; Zbl 1120.74733) Full Text: DOI OpenURL
Kamiński, Marcin Homogenization-based finite element analysis of unidirectional composites by classical and multiresolutional techniques. (English) Zbl 1137.74440 Comput. Methods Appl. Mech. Eng. 194, No. 18-20, 2147-2173 (2005). MSC: 74S05 74Q10 74E30 PDF BibTeX XML Cite \textit{M. Kamiński}, Comput. Methods Appl. Mech. Eng. 194, No. 18--20, 2147--2173 (2005; Zbl 1137.74440) Full Text: DOI OpenURL
Ammari, Habib; Kang, Hyeonbae; Kim, Kyoungsun Polarization tensors and effective properties of anisotropic composite materials. (English) Zbl 1073.35019 J. Differ. Equations 215, No. 2, 401-428 (2005). MSC: 35B27 35B30 35C20 PDF BibTeX XML Cite \textit{H. Ammari} et al., J. Differ. Equations 215, No. 2, 401--428 (2005; Zbl 1073.35019) Full Text: DOI OpenURL
Sage, Daniel S. Racah coefficients, subrepresentation semirings, and composite materials. (English) Zbl 1081.22006 Adv. Appl. Math. 34, No. 2, 335-357 (2005). MSC: 22E70 PDF BibTeX XML Cite \textit{D. S. Sage}, Adv. Appl. Math. 34, No. 2, 335--357 (2005; Zbl 1081.22006) Full Text: DOI Link OpenURL
Grabovsky, Yury; Hijab, Omar A generalization of the Chandler Davis convexity theorem. (English) Zbl 1113.52003 Adv. Appl. Math. 34, No. 1, 192-212 (2005). MSC: 52A07 74E30 22C05 PDF BibTeX XML Cite \textit{Y. Grabovsky} and \textit{O. Hijab}, Adv. Appl. Math. 34, No. 1, 192--212 (2005; Zbl 1113.52003) Full Text: DOI OpenURL
Wei, En-Bo; Tang, Shu-Pian Dielectric responses of graded cylindrical composites. (English) Zbl 1134.78303 Phys. Lett., A 328, No. 4-5, 395-399 (2004). MSC: 78A35 PDF BibTeX XML Cite \textit{E.-B. Wei} and \textit{S.-P. Tang}, Phys. Lett., A 328, No. 4--5, 395--399 (2004; Zbl 1134.78303) Full Text: DOI OpenURL
He, Q.-C.; Benveniste, Y. Exactly solvable spherically anisotropic thermoelastic microstructures. (English) Zbl 1087.74022 J. Mech. Phys. Solids 52, No. 11, 2661-2682 (2004). MSC: 74E30 74M25 74F05 74G05 74Q15 PDF BibTeX XML Cite \textit{Q. C. He} and \textit{Y. Benveniste}, J. Mech. Phys. Solids 52, No. 11, 2661--2682 (2004; Zbl 1087.74022) Full Text: DOI OpenURL
Michel, J. C.; Suquet, P. Computational analysis of nonlinear composite structures using the nonuniform transformation field analysis. (English) Zbl 1112.74471 Comput. Methods Appl. Mech. Eng. 193, No. 48-51, 5477-5502 (2004). MSC: 74Q15 74S05 PDF BibTeX XML Cite \textit{J. C. Michel} and \textit{P. Suquet}, Comput. Methods Appl. Mech. Eng. 193, No. 48--51, 5477--5502 (2004; Zbl 1112.74471) Full Text: DOI OpenURL
Lipton, Robert Bounds on the distribution of extreme values for the stress in composite materials. (English) Zbl 1070.74041 J. Mech. Phys. Solids 52, No. 5, 1053-1069 (2004). MSC: 74Q20 74G70 74A40 PDF BibTeX XML Cite \textit{R. Lipton}, J. Mech. Phys. Solids 52, No. 5, 1053--1069 (2004; Zbl 1070.74041) Full Text: DOI OpenURL
Li, Jiang Yu; Liu, Dan On ferroelectric crystals with engineered domain configurations. (English) Zbl 1059.74018 J. Mech. Phys. Solids 52, No. 8, 1719-1742 (2004). MSC: 74E15 74F15 74G65 82D45 PDF BibTeX XML Cite \textit{J. Y. Li} and \textit{D. Liu}, J. Mech. Phys. Solids 52, No. 8, 1719--1742 (2004; Zbl 1059.74018) Full Text: DOI OpenURL
Benveniste, Y.; Milton, G. W. New exact results for the effective electric, elastic, piezoelectric and other properties of composite ellipsoid assemblages. (English) Zbl 1077.74591 J. Mech. Phys. Solids 51, No. 10, 1773-1813 (2003). MSC: 74Q15 74F15 74E30 74A40 PDF BibTeX XML Cite \textit{Y. Benveniste} and \textit{G. W. Milton}, J. Mech. Phys. Solids 51, No. 10, 1773--1813 (2003; Zbl 1077.74591) Full Text: DOI OpenURL
Faraco, Daniel Milton’s conjecture on the regularity of solutions to isotropic equations. (English) Zbl 1029.30012 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 5, 889-909 (2003). Reviewer: Bodo Dittmar (Halle) MSC: 30C62 35J15 PDF BibTeX XML Cite \textit{D. Faraco}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 5, 889--909 (2003; Zbl 1029.30012) Full Text: DOI Numdam EuDML OpenURL
deBotton, G.; Hariton, I. High-rank nonlinear sequentially laminated composites and their possible tendency towards isotropic behavior. (English) Zbl 1100.74541 J. Mech. Phys. Solids 50, No. 12, 2577-2595 (2002). MSC: 74E30 74Q15 PDF BibTeX XML Cite \textit{G. deBotton} and \textit{I. Hariton}, J. Mech. Phys. Solids 50, No. 12, 2577--2595 (2002; Zbl 1100.74541) Full Text: DOI OpenURL
Lakes, R. S.; Drugan, W. J. Dramatically stiffer elastic composite materials due to a negative stiffness phase? (English) Zbl 1032.74004 J. Mech. Phys. Solids 50, No. 5, 979-1009 (2002). Reviewer: I.A.Parinov (Rostov-na-Donu) MSC: 74A40 74B20 PDF BibTeX XML Cite \textit{R. S. Lakes} and \textit{W. J. Drugan}, J. Mech. Phys. Solids 50, No. 5, 979--1009 (2002; Zbl 1032.74004) Full Text: DOI OpenURL
Deshpande, V. S.; Fleck, N. A.; Ashby, M. F. Effective properties of the octet-truss lattice material. (English) Zbl 1011.74056 J. Mech. Phys. Solids 49, No. 8, 1747-1769 (2001). Reviewer: Wilfried Becker (Siegen) MSC: 74Q15 74E30 74S05 74-05 PDF BibTeX XML Cite \textit{V. S. Deshpande} et al., J. Mech. Phys. Solids 49, No. 8, 1747--1769 (2001; Zbl 1011.74056) Full Text: DOI OpenURL
Gibiansky, Leonid V.; Sigmund, Ole Multiphase composites with extremal bulk modulus. (English) Zbl 0989.74060 J. Mech. Phys. Solids 48, No. 3, 461-498 (2000). Reviewer: M.Codegone (Torino) MSC: 74Q20 74E30 74P15 PDF BibTeX XML Cite \textit{L. V. Gibiansky} and \textit{O. Sigmund}, J. Mech. Phys. Solids 48, No. 3, 461--498 (2000; Zbl 0989.74060) Full Text: DOI OpenURL
Leonetti, F.; Nesi, V. Quasiconformal solutions to certain first order systems and the proof of a conjecture of G. W. Milton. (English) Zbl 0869.35019 J. Math. Pures Appl., IX. Sér. 76, No. 2, 109-124 (1997). MSC: 35B65 35J15 30C62 35F05 PDF BibTeX XML Cite \textit{F. Leonetti} and \textit{V. Nesi}, J. Math. Pures Appl. (9) 76, No. 2, 109--124 (1997; Zbl 0869.35019) Full Text: DOI OpenURL
Gibiansky, L. V.; Torquato, S. Geometrical-parameter bounds on the effective moduli of composites. (English) Zbl 0871.73041 J. Mech. Phys. Solids 43, No. 10, 1587-1613 (1995). MSC: 74E30 PDF BibTeX XML Cite \textit{L. V. Gibiansky} and \textit{S. Torquato}, J. Mech. Phys. Solids 43, No. 10, 1587--1613 (1995; Zbl 0871.73041) Full Text: DOI OpenURL
Grabovsky, Yury; Kohn, Robert V. Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure. (English) Zbl 0877.73041 J. Mech. Phys. Solids 43, No. 6, 949-972 (1995). MSC: 74E30 74A60 74M25 74S30 74P10 PDF BibTeX XML Cite \textit{Y. Grabovsky} and \textit{R. V. Kohn}, J. Mech. Phys. Solids 43, No. 6, 949--972 (1995; Zbl 0877.73041) Full Text: DOI OpenURL
Smyshlyaev, V. P.; Fleck, N. A. Bounds and estimates for linear composites with strain gradient effects. (English) Zbl 0819.73046 J. Mech. Phys. Solids 42, No. 12, 1851-1882 (1994). MSC: 74E30 74S30 74P10 PDF BibTeX XML Cite \textit{V. P. Smyshlyaev} and \textit{N. A. Fleck}, J. Mech. Phys. Solids 42, No. 12, 1851--1882 (1994; Zbl 0819.73046) Full Text: DOI OpenURL
Lipton, Robert Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry. (English) Zbl 0756.73058 J. Elasticity 27, No. 3, 193-225 (1992). Reviewer: F.D.Zaman (Dhahran) MSC: 74E30 74E10 74A40 74B99 PDF BibTeX XML Cite \textit{R. Lipton}, J. Elasticity 27, No. 3, 193--225 (1992; Zbl 0756.73058) Full Text: DOI OpenURL
Milton, Graeme W.; Kohn, Robert V. Variational bounds on the effective moduli of anisotropic composites. (English) Zbl 0672.73012 J. Mech. Phys. Solids 36, No. 6, 597-629 (1988). MSC: 74S30 74E30 49J40 74E10 49S05 PDF BibTeX XML Cite \textit{G. W. Milton} and \textit{R. V. Kohn}, J. Mech. Phys. Solids 36, No. 6, 597--629 (1988; Zbl 0672.73012) Full Text: DOI OpenURL
Kohn, Robert V.; Lipton, Robert Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials. (English) Zbl 0662.73012 Arch. Ration. Mech. Anal. 102, No. 4, 331-350 (1988). Reviewer: I.Ecsedi MSC: 74S30 74E05 74E30 PDF BibTeX XML Cite \textit{R. V. Kohn} and \textit{R. Lipton}, Arch. Ration. Mech. Anal. 102, No. 4, 331--350 (1988; Zbl 0662.73012) Full Text: DOI OpenURL
Ball, J. M.; James, R. D. Fine phase mixtures as minimizers of energy. (English) Zbl 0629.49020 Arch. Ration. Mech. Anal. 100, No. 1, 13-52 (1987). Reviewer: I.Ecsedi MSC: 49S05 49J20 74A99 74E30 PDF BibTeX XML Cite \textit{J. M. Ball} and \textit{R. D. James}, Arch. Ration. Mech. Anal. 100, No. 1, 13--52 (1987; Zbl 0629.49020) Full Text: DOI OpenURL
Milton, G. W. Multicomponent composites, electrical networks and new types of continued fraction. I. (English) Zbl 0624.41017 Commun. Math. Phys. 111, 281-327 (1987). MSC: 41A21 40A15 PDF BibTeX XML Cite \textit{G. W. Milton}, Commun. Math. Phys. 111, 281--327 (1987; Zbl 0624.41017) Full Text: DOI OpenURL