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 PDFBibTeX XMLCite \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
Grechka, Vladimir Comparison of the non-interaction and differential schemes in predicting the effective elastic properties fractured media. (English) Zbl 1198.74061 Int. J. Fract. 144, No. 3, 181-188 (2007). MSC: 74Q15 74R99 74S30 PDFBibTeX XMLCite \textit{V. Grechka}, Int. J. Fract. 144, No. 3, 181--188 (2007; Zbl 1198.74061) Full Text: DOI
Antonić, Nenad; Vrdoljak, Marko Gradient methods for multiple state optimal design problems. (English) Zbl 1180.35067 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 177-187 (2007). MSC: 35B27 49K20 49M05 65K10 74Q20 35Q93 PDFBibTeX XMLCite \textit{N. Antonić} and \textit{M. Vrdoljak}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 53, No. 2, 177--187 (2007; Zbl 1180.35067) Full Text: DOI
Le Quang, H.; He, Q.-C. A one-parameter generalized self-consistent model for isotropic multiphase composites. (English) Zbl 1166.74331 Int. J. Solids Struct. 44, No. 21, 6805-6825 (2007). MSC: 74E30 74Q15 74Q20 PDFBibTeX XMLCite \textit{H. Le Quang} and \textit{Q. C. He}, Int. J. Solids Struct. 44, No. 21, 6805--6825 (2007; Zbl 1166.74331) Full Text: DOI
Albin, Nathan; Cherkaev, Andrej; Nesi, Vincenzo Multiphase laminates of extremal effective conductivity in two dimensions. (English) Zbl 1171.74039 J. Mech. Phys. Solids 55, No. 7, 1513-1553 (2007). MSC: 74Q15 74Q05 74Q20 74E30 PDFBibTeX XMLCite \textit{N. Albin} et al., J. Mech. Phys. Solids 55, No. 7, 1513--1553 (2007; Zbl 1171.74039) Full Text: DOI
Pérez-Fernández, L. D.; Bravo-Castillero, J.; Rodríguez-Ramos, R.; Sabina, F. J. Estimation of very narrow bounds to the behavior of nonlinear incompressible elastic composites. (English) Zbl 1161.74466 Arch. Appl. Mech. 77, No. 4, 229-239 (2007). MSC: 74Q20 74Q15 74E30 74B20 PDFBibTeX XMLCite \textit{L. D. Pérez-Fernández} et al., Arch. Appl. Mech. 77, No. 4, 229--239 (2007; Zbl 1161.74466) Full Text: DOI
Catoni, Olivier PAC-Bayesian supervised classification: the thermodynamics of statistical learning. (English) Zbl 1277.62015 Institute of Mathematical Statistics Lecture Notes – Monograph Series 56. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-72-0/pbk). xii, 163 p., open access (2007). MSC: 62-02 62F15 62H30 68T05 PDFBibTeX XMLCite \textit{O. Catoni}, PAC-Bayesian supervised classification: the thermodynamics of statistical learning. Beachwood, OH: IMS, Institute of Mathematical Statistics (2007; Zbl 1277.62015) Full Text: arXiv Euclid
E, Weinan; Engquist, Bjorn; Li, Xiantao; Ren, Weiqing; Vanden-Eijnden, Eric Heterogeneous multiscale methods: a review. (English) Zbl 1164.65496 Commun. Comput. Phys. 2, No. 3, 367-450 (2007). MSC: 65N30 74Q05 74Q20 74S05 65-02 PDFBibTeX XMLCite \textit{W. E} et al., Commun. Comput. Phys. 2, No. 3, 367--450 (2007; Zbl 1164.65496)
Vrdoljak, Marko Multiple state optimal design problems and Hashin-Shtrikman bounds. (English) Zbl 1165.35317 Int. J. Pure Appl. Math. 42, No. 3, 319-324 (2007). MSC: 35B27 49J45 49K20 65K10 74Q20 PDFBibTeX XMLCite \textit{M. Vrdoljak}, Int. J. Pure Appl. Math. 42, No. 3, 319--324 (2007; Zbl 1165.35317)
Chen, Tungyang; Lipton, Robert Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibres or coated fibres. (English) Zbl 1138.74041 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2088, 3291-3309 (2007). MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{T. Chen} and \textit{R. Lipton}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2088, 3291--3309 (2007; Zbl 1138.74041) Full Text: DOI
Idiart, Martín I. Nonlinear sequential laminates reproducing hollow sphere assemblages. (English) Zbl 1137.74049 C. R., Méc., Acad. Sci. Paris 335, No. 7, 363-368 (2007). MSC: 74Q20 74F10 PDFBibTeX XMLCite \textit{M. I. Idiart}, C. R., Méc., Acad. Sci. Paris 335, No. 7, 363--368 (2007; Zbl 1137.74049) Full Text: DOI HAL
Lukkassen, Dag; Meidell, Annette; Wall, Peter Bounds on the effective behavior of a homogenized generalized Reynolds equation. (English) Zbl 1141.35327 J. Funct. Spaces Appl. 5, No. 2, 133-150 (2007). MSC: 35B27 74Q20 35B45 PDFBibTeX XMLCite \textit{D. Lukkassen} et al., J. Funct. Spaces Appl. 5, No. 2, 133--150 (2007; Zbl 1141.35327) 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
Albin, Nathan; Conti, Sergio; Nesi, Vincenzo Improved bounds for composites and rigidity of gradient fields. (English) Zbl 1129.74038 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2084, 2031-2048 (2007). MSC: 74Q20 74Q05 74A40 PDFBibTeX XMLCite \textit{N. Albin} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2084, 2031--2048 (2007; Zbl 1129.74038) Full Text: DOI
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
Silvestre, Luis A characterization of optimal two-phase multifunctional composite designs. (English) Zbl 1128.74036 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2086, 2543-2556 (2007). MSC: 74P10 74Q20 74E30 78A48 PDFBibTeX XMLCite \textit{L. Silvestre}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 463, No. 2086, 2543--2556 (2007; Zbl 1128.74036) Full Text: DOI
Boulanger, Ph.; Hayes, M. Bounds on the extensional strains in elastic homogeneous crystals under simple tension. (English) Zbl 1128.74009 IMA J. Appl. Math. 72, No. 5, 577-596 (2007). MSC: 74E15 74B15 74Q20 PDFBibTeX XMLCite \textit{Ph. Boulanger} and \textit{M. Hayes}, IMA J. Appl. Math. 72, No. 5, 577--596 (2007; Zbl 1128.74009) Full Text: DOI
Dietmann, Rainer Polynomial bounds for equivalence of quadratic forms with cube-free determinant. (English) Zbl 1133.11029 Math. Proc. Camb. Philos. Soc. 143, No. 3, 521-532 (2007). Reviewer: Roger Heath-Brown (Oxford) MSC: 11E20 11D09 11E12 PDFBibTeX XMLCite \textit{R. Dietmann}, Math. Proc. Camb. Philos. Soc. 143, No. 3, 521--532 (2007; Zbl 1133.11029) Full Text: DOI
Chinh, Pham Duc Estimates for the elastic moduli of random trigonal polycrystals and their macroscopic uncertainty. (English) Zbl 1121.74012 Int. J. Solids Struct. 44, No. 9, 2763-2772 (2007). MSC: 74E15 74Q20 82D25 PDFBibTeX XMLCite \textit{P. D. Chinh}, Int. J. Solids Struct. 44, No. 9, 2763--2772 (2007; Zbl 1121.74012) Full Text: DOI
Pensée, V.; He, Q.-C. Generalized self-consistent estimation of the apparent isotropic elastic moduli and minimum representative volume element size of heterogeneous media. (English) Zbl 1159.74030 Int. J. Solids Struct. 44, No. 7-8, 2225-2243 (2007). MSC: 74Q20 74E05 PDFBibTeX XMLCite \textit{V. Pensée} and \textit{Q. C. He}, Int. J. Solids Struct. 44, No. 7--8, 2225--2243 (2007; Zbl 1159.74030) Full Text: DOI
Lahellec, Noël; Suquet, Pierre Effective behavior of linear viscoelastic composites: A time-integration approach. (English) Zbl 1123.74041 Int. J. Solids Struct. 44, No. 2, 507-529 (2007). MSC: 74Q15 74E30 74D05 PDFBibTeX XMLCite \textit{N. Lahellec} and \textit{P. Suquet}, Int. J. Solids Struct. 44, No. 2, 507--529 (2007; Zbl 1123.74041) Full Text: DOI
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 PDFBibTeX XMLCite \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
Bilger, Nicolas; Auslender, François; Bornert, Michel; Moulinec, Hervé; Zaoui, André Bounds and estimates for the effective yield surface of porous media with a uniform or a nonuniform distribution of voids. (English) Zbl 1119.74039 Eur. J. Mech., A, Solids 26, No. 5, 810-836 (2007). MSC: 74Q20 74F10 PDFBibTeX XMLCite \textit{N. Bilger} et al., Eur. J. Mech., A, Solids 26, No. 5, 810--836 (2007; Zbl 1119.74039) Full Text: DOI
Martinsson, Per-Gunnar; Babuška, Ivo Mechanics of materials with periodic truss or frame micro-structures. (English) Zbl 1140.74532 Arch. Ration. Mech. Anal. 185, No. 2, 201-234 (2007). MSC: 74Q20 74A40 74E30 80A20 PDFBibTeX XMLCite \textit{P.-G. Martinsson} and \textit{I. Babuška}, Arch. Ration. Mech. Anal. 185, No. 2, 201--234 (2007; Zbl 1140.74532) Full Text: DOI
Kassner, M. E.; Kumar, P.; Blum, W. Harper-Dorn creep. (English) Zbl 1148.74335 Int. J. Plast. 23, No. 6, 980-1000 (2007). MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{M. E. Kassner} et al., Int. J. Plast. 23, No. 6, 980--1000 (2007; Zbl 1148.74335) Full Text: DOI
Ou, Miao-Jung On the representation formula for well-ordered elastic composites: a convergence of measure approach. (English) Zbl 1146.74045 Math. Methods Appl. Sci. 30, No. 7, 851-860 (2007). MSC: 74Q20 74E30 35J55 35C15 30G99 PDFBibTeX XMLCite \textit{M.-J. Ou}, Math. Methods Appl. Sci. 30, No. 7, 851--860 (2007; Zbl 1146.74045) Full Text: DOI
Guessab, Benaceur; Turgeman, Sylvain Upper bound on the effective yield strength for a random material. (Borne supérieure du domaine de résistance macroscopique d’un matériau hétérogène aléatoire.) (French. English summary) Zbl 1112.74049 C. R., Méc., Acad. Sci. Paris 335, No. 2, 125-129 (2007). MSC: 74Q20 74Q05 74E35 PDFBibTeX XMLCite \textit{B. Guessab} and \textit{S. Turgeman}, C. R., Méc., Acad. Sci. Paris 335, No. 2, 125--129 (2007; Zbl 1112.74049) Full Text: DOI
He, Q.-C. Lower bounds on the stress and strain fields inside random two-phase elastic media. (English) Zbl 1107.74038 Acta Mech. 188, No. 3-4, 123-137 (2007). MSC: 74Q20 74A40 PDFBibTeX XMLCite \textit{Q. C. He}, Acta Mech. 188, No. 3--4, 123--137 (2007; Zbl 1107.74038) Full Text: DOI
Nesi, Vincenzo; Rogora, Enrico A complete characterization of invariant jointly rank-\(r\) convex quadratic forms and applications to composite materials. (English) Zbl 1107.74039 ESAIM, Control Optim. Calc. Var. 13, No. 1, 1-34 (2007). MSC: 74Q20 74Q15 74E30 15A90 PDFBibTeX XMLCite \textit{V. Nesi} and \textit{E. Rogora}, ESAIM, Control Optim. Calc. Var. 13, No. 1, 1--34 (2007; Zbl 1107.74039) Full Text: DOI Numdam EuDML