Zvyatkov, Krassimir D. A new approach for deriving \(C^2\)-bounds on the effective conductivity of random dispersions. (English) Zbl 1079.60514 God. Sofij. Univ., Fak. Mat. Inform. 91(1997), No. 2, 177-192 (1999). MSC: 60G60 60H15 74A40 74Q20 49K45 PDFBibTeX XMLCite \textit{K. D. Zvyatkov}, God. Sofiĭ. Univ., Fak. Mat. Inform. 91, No. 2, 177--192 (1999; Zbl 1079.60514)
Gibiansky, L. V. Effective properties of a plane two-phase elastic composites: Coupled bulk-shear moduli bounds. (English) Zbl 1055.74552 Berdichevsky, V. (ed.) et al., Homogenization. In memory of Serguei Kozlov. Singapore: World Scientific (ISBN 981-02-3096-6/hbk). Ser. Adv. Math. Appl. Sci. 50, 214-258 (1999). MSC: 74Q20 74Q15 PDFBibTeX XMLCite \textit{L. V. Gibiansky}, Ser. Adv. Math. Appl. Sci. 50, 214--258 (1999; Zbl 1055.74552)
Cowin, S. C.; Yang, G.; Mehrabadi, M. M. Bounds on the effective anisotropic elastic constants. (English) Zbl 0977.74052 J. Elasticity 57, No. 1, 1-24 (1999). MSC: 74Q20 74E10 PDFBibTeX XMLCite \textit{S. C. Cowin} et al., J. Elasticity 57, No. 1, 1--24 (1999; Zbl 0977.74052) Full Text: DOI
Pham, Duc Chinh Bounds for the elastic shear moduli of isotropic and quasi-symmetric composites, and exact modulus of the coated sphere assemblage. (English) Zbl 1001.74601 Math. Mech. Solids 4, No. 1, 57-69 (1999). MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{D. C. Pham}, Math. Mech. Solids 4, No. 1, 57--69 (1999; Zbl 1001.74601) Full Text: DOI
Bendsøe, M. P.; Sigmund, O. Material interpolation schemes in topology optimization. (English) Zbl 0957.74037 Arch. Appl. Mech. 69, No. 9-10, 635-654 (1999). MSC: 74P15 74Q20 PDFBibTeX XMLCite \textit{M. P. Bendsøe} and \textit{O. Sigmund}, Arch. Appl. Mech. 69, No. 9--10, 635--654 (1999; Zbl 0957.74037) 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
Chung, Peter W.; Tamma, Kumar K. Woven fabric composites – developments in engineering bounds, homogenization and applications. (English) Zbl 0979.74063 Int. J. Numer. Methods Eng. 45, No. 12, 1757-1790 (1999). MSC: 74Q20 74E30 74S05 PDFBibTeX XMLCite \textit{P. W. Chung} and \textit{K. K. Tamma}, Int. J. Numer. Methods Eng. 45, No. 12, 1757--1790 (1999; Zbl 0979.74063) Full Text: DOI
May, S. Two-point Padé approximants to the effective heat conduction coefficient of non-uniform media. (English) Zbl 1017.74016 Arch. Mech. 51, No. 1, 59-69 (1999). MSC: 74F05 74Q20 74E30 80A20 PDFBibTeX XMLCite \textit{S. May}, Arch. Mech. 51, No. 1, 59--69 (1999; Zbl 1017.74016)
Stolz, Claude Variational approach in heterogeneous linear thermoelasticity. (Approche variationnelle du comportement des milieux hétérogènes en thermoélasticité linéaire.) (French. Abridged English version) Zbl 0978.74064 C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. Phys. Astron. 327, No. 2-3, 185-192 (1999). MSC: 74Q15 74G65 74F05 74B05 74E05 PDFBibTeX XMLCite \textit{C. Stolz}, C. R. Acad. Sci., Paris, Sér. II, Fasc. b, Méc. Phys. Astron. 327, No. 2--3, 185--192 (1999; Zbl 0978.74064) Full Text: DOI
Dvorak, George J.; Srinivas, Mullahalli V. Addendum and erratum to ”New estimates of overall properties of heterogeneous solids”. (English) Zbl 1058.74613 J. Mech. Phys. Solids 47, No. 10, 2207-2208 (1999). MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{G. J. Dvorak} and \textit{M. V. Srinivas}, J. Mech. Phys. Solids 47, No. 10, 2207--2208 (1999; Zbl 1058.74613) 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
Kolpakov, A. G. Variational principles for stiffness of a non-homogeneous plate. (English) Zbl 0965.74035 J. Mech. Phys. Solids 47, No. 10, 2075-2092 (1999). MSC: 74K20 74Q20 PDFBibTeX XMLCite \textit{A. G. Kolpakov}, J. Mech. Phys. Solids 47, No. 10, 2075--2092 (1999; Zbl 0965.74035) Full Text: DOI
Milton, G. W.; Nesi, V. Optimal \(G\)-closure bounds via stability under lamination. (English) Zbl 0941.74012 Arch. Ration. Mech. Anal. 150, No. 3, 191-207 (1999). MSC: 74E30 74Q20 35B27 PDFBibTeX XMLCite \textit{G. W. Milton} and \textit{V. Nesi}, Arch. Ration. Mech. Anal. 150, No. 3, 191--207 (1999; Zbl 0941.74012) Full Text: DOI
Bruno, Oscar P.; Goldsztein, Guillermo H. A fast algorithm for the simulation of polycrystalline misfits: Martensitic transformations in two space dimensions. (English) Zbl 0968.74063 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1992, 4245-4276 (1999). MSC: 74S05 74N05 74M25 74Q05 74Q20 PDFBibTeX XMLCite \textit{O. P. Bruno} and \textit{G. H. Goldsztein}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1992, 4245--4276 (1999; Zbl 0968.74063) Full Text: DOI
Pecullan, S.; Gibiansky, L. V.; Torquato, S. Scale effects on the elastic behavior of periodic and hierarchical two-dimensional composites. (English) Zbl 0972.74021 J. Mech. Phys. Solids 47, No. 7, 1509-1542 (1999). MSC: 74E30 74Q20 74S05 PDFBibTeX XMLCite \textit{S. Pecullan} et al., J. Mech. Phys. Solids 47, No. 7, 1509--1542 (1999; Zbl 0972.74021) Full Text: DOI
Dvorak, George J.; Srinivas, Mullahalli V. New estimates of overall properties of heterogeneous solids. (English) Zbl 0966.74058 J. Mech. Phys. Solids 47, No. 4, 899-920 (1999). Reviewer: Dan Polisevski (Bucureşti) MSC: 74Q20 74E30 PDFBibTeX XMLCite \textit{G. J. Dvorak} and \textit{M. V. Srinivas}, J. Mech. Phys. Solids 47, No. 4, 899--920 (1999; Zbl 0966.74058) Full Text: DOI
Lipton, Robert Variational methods, bounds and size effects for two-phase composites with coupled heat and mass transport processes at the two-phase interface. (English) Zbl 0962.74051 J. Mech. Phys. Solids 47, No. 8, 1699-1736 (1999). MSC: 74Q20 74E30 80A20 74F05 PDFBibTeX XMLCite \textit{R. Lipton}, J. Mech. Phys. Solids 47, No. 8, 1699--1736 (1999; Zbl 0962.74051) Full Text: DOI
Stolz, Claude Morphological analysis and variational formulation in heterogeneous thermoelasticity. (English) Zbl 0983.74017 Extr. Math. 14, No. 2, 205-216 (1999). Reviewer: Nina Kirchner (Darmstadt) MSC: 74E05 74Q20 74F05 74B99 74Q15 PDFBibTeX XMLCite \textit{C. Stolz}, Extr. Math. 14, No. 2, 205--216 (1999; Zbl 0983.74017) Full Text: EuDML
Ostoja-Starzewski, M.; Wang, X. Stochastic finite elements as a bridge between random material microstructure and global response. (English) Zbl 0957.74055 Comput. Methods Appl. Mech. Eng. 168, No. 1-4, 35-49 (1999). MSC: 74S05 74E05 74E35 74E30 74Q20 PDFBibTeX XMLCite \textit{M. Ostoja-Starzewski} and \textit{X. Wang}, Comput. Methods Appl. Mech. Eng. 168, No. 1--4, 35--49 (1999; Zbl 0957.74055) Full Text: DOI
Pham Duc Chinh Bounds for the effective elastic properties of completely random planar polycrystals. (English) Zbl 0949.74055 J. Elasticity 54, No. 3, 229-251 (1999). MSC: 74Q20 74E15 74E35 PDFBibTeX XMLCite \textit{Pham Duc Chinh}, J. Elasticity 54, No. 3, 229--251 (1999; Zbl 0949.74055) Full Text: DOI
Nesi, V.; Talbot, D. R. S.; Willis, J. R. Translation and related bounds for the response of a nonlinear composite conductor. (English) Zbl 0940.74047 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1990, 3687-3707 (1999). Reviewer: Vladimir Mityushev (Słupsk) MSC: 74Q20 78A48 PDFBibTeX XMLCite \textit{V. Nesi} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1990, 3687--3707 (1999; Zbl 0940.74047) Full Text: DOI
Talbot, D. R. S. Bounds which incorporate morphological information for a nonlinear composite dielectric. (English) Zbl 0940.74046 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1990, 3617-3628 (1999). Reviewer: Vladimir Mityushev (Słupsk) MSC: 74Q20 78A48 PDFBibTeX XMLCite \textit{D. R. S. Talbot}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1990, 3617--3628 (1999; Zbl 0940.74046) Full Text: DOI
Rémond, Gaël Theta heights and Kodaira construction. (Hauteurs thêta et construction de Kodaira.) (French) Zbl 0947.14016 J. Number Theory 78, No. 2, 287-311 (1999). Reviewer: V.V.Chueshev (Kemerovo) MSC: 14H42 14K25 14H40 14G05 14G40 PDFBibTeX XMLCite \textit{G. Rémond}, J. Number Theory 78, No. 2, 287--311 (1999; Zbl 0947.14016) Full Text: DOI
Belyaev, Alexander G.; Chechkin, Gregory A.; Gadyl’shin, Rustem R. Effective membrane permeability: Estimates and low concentration asymptotics. (English) Zbl 0940.35028 SIAM J. Appl. Math. 60, No. 1, 84-108 (1999). Reviewer: Igor Andrianov (Köln) MSC: 35B27 35B25 41A60 35C20 PDFBibTeX XMLCite \textit{A. G. Belyaev} et al., SIAM J. Appl. Math. 60, No. 1, 84--108 (1999; Zbl 0940.35028) Full Text: DOI
Butcher, J. C.; Chartier, P. The effective order of singly-implicit Runge-Kutta methods. (English) Zbl 0936.65089 Numer. Algorithms 20, No. 4, 269-284 (1999). MSC: 65L06 34A34 65L70 65L05 65L20 65L50 PDFBibTeX XMLCite \textit{J. C. Butcher} and \textit{P. Chartier}, Numer. Algorithms 20, No. 4, 269--284 (1999; Zbl 0936.65089) Full Text: DOI
Poulakis, Dimitrios Bounds for the size of integral solutions to \(Y^m=f(X)\). (English) Zbl 0944.11007 Proc. Edinb. Math. Soc., II. Ser. 42, No. 1, 127-141 (1999). Reviewer: I.Gaál (Debrecen) MSC: 11D41 PDFBibTeX XMLCite \textit{D. Poulakis}, Proc. Edinb. Math. Soc., II. Ser. 42, No. 1, 127--141 (1999; Zbl 0944.11007) Full Text: DOI
Chinh, Pham Duc Estimates for the transverse shear modulus of unidirectional composites. (English) Zbl 0942.74060 Eur. J. Mech., A, Solids 18, No. 2, 239-251 (1999). MSC: 74Q20 74A40 74E30 PDFBibTeX XMLCite \textit{P. D. Chinh}, Eur. J. Mech., A, Solids 18, No. 2, 239--251 (1999; Zbl 0942.74060) Full Text: DOI
Zohdi, T.; Wriggers, P. A domain decomposition method for bodies with heterogeneous microstructure based on material regularization. (English) Zbl 0949.74081 Int. J. Solids Struct. 36, No. 17, 2507-2525 (1999). MSC: 74S30 74Q15 74E30 74B05 65N55 PDFBibTeX XMLCite \textit{T. Zohdi} and \textit{P. Wriggers}, Int. J. Solids Struct. 36, No. 17, 2507--2525 (1999; Zbl 0949.74081) Full Text: DOI
Gibiansky, Leonid V.; Milton, Graeme W.; Berryman, James G. On the effective viscoelastic moduli of two-phase media. III: Rigorous bounds on the complex shear modulus in two dimensions. (English) Zbl 0946.74049 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1986, 2117-2149 (1999). MSC: 74Q20 74E30 74D99 PDFBibTeX XMLCite \textit{L. V. Gibiansky} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1986, 2117--2149 (1999; Zbl 0946.74049) 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
Markov, Konstantin Z. On the correlation functions of two-phase random media and related problems. (English) Zbl 0937.74003 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1983, 1049-1066 (1999). MSC: 74A40 74Q20 74E35 PDFBibTeX XMLCite \textit{K. Z. Markov}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1983, 1049--1066 (1999; Zbl 0937.74003) Full Text: DOI
Smyshlyaev, V. P.; Willis, J. R. On the relaxation of a three-well energy. (English) Zbl 0960.74027 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1983, 779-814 (1999). Reviewer: J.Lovíšek (Bratislava) MSC: 74G65 74A40 74Q20 PDFBibTeX XMLCite \textit{V. P. Smyshlyaev} and \textit{J. R. Willis}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1983, 779--814 (1999; Zbl 0960.74027) Full Text: DOI
Bhattacharya, Kaushik; Kohn, Robert V.; Kozlov, S. Some examples of nonlinear homogenization involving nearly degenerate energies. (English) Zbl 0926.74099 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1982, 567-583 (1999). MSC: 74Q20 74E15 PDFBibTeX XMLCite \textit{K. Bhattacharya} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 455, No. 1982, 567--583 (1999; Zbl 0926.74099) Full Text: DOI
Kohn, Robert V.; Little, Thomas D. Some model problems of polycrystal plasticity with deficient basic crystals. (English) Zbl 0932.74012 SIAM J. Appl. Math. 59, No. 1, 172-197 (1999). Reviewer: S.Cleja-Ţigoiu (Bucureşti) MSC: 74C99 74E15 74Q20 82D25 74E30 PDFBibTeX XMLCite \textit{R. V. Kohn} and \textit{T. D. Little}, SIAM J. Appl. Math. 59, No. 1, 172--197 (1999; Zbl 0932.74012) Full Text: DOI
Parent, Pierre Effective bounds for the torsion of elliptic curves over number fields. (Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres.) (French) Zbl 0919.11040 J. Reine Angew. Math. 506, 85-116 (1999). Reviewer: P.Parent (Rennes) MSC: 11G05 14H52 PDFBibTeX XMLCite \textit{P. Parent}, J. Reine Angew. Math. 506, 85--116 (1999; Zbl 0919.11040) Full Text: DOI