Li, J.; Ostoja-Starzewski, M. Fractals in elastic-hardening plastic materials. (English) Zbl 1195.74144 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2114, 603-621 (2010). MSC: 74Q20 PDFBibTeX XMLCite \textit{J. Li} and \textit{M. Ostoja-Starzewski}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2114, 603--621 (2010; Zbl 1195.74144) Full Text: DOI
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.; 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
Khisaeva, Z. F.; Ostoja-Starzewski, M. Mesoscale bounds in finite elasticity and thermoelasticity of random composites. (English) Zbl 1149.74388 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2068, 1167-1180 (2006). MSC: 74Q20 74B20 74E30 74E35 74F05 PDFBibTeX XMLCite \textit{Z. F. Khisaeva} and \textit{M. Ostoja-Starzewski}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2068, 1167--1180 (2006; Zbl 1149.74388) Full Text: DOI
Talbot, D. R. S.; Willis, J. R. Bounds for the effective constitutive relation of a nonlinear composite. (English) Zbl 1072.74058 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2049, 2705-2723 (2004). MSC: 74Q20 74E30 74G65 PDFBibTeX XMLCite \textit{D. R. S. Talbot} and \textit{J. R. Willis}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2049, 2705--2723 (2004; Zbl 1072.74058) Full Text: DOI
Garroni, A.; Nesi, V. Rigidity and lack of rigidity for solenoidal matrix fields. (English) Zbl 1108.74050 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2046, 1789-1806 (2004). MSC: 74Q05 35F20 46E35 49J10 74Q20 PDFBibTeX XMLCite \textit{A. Garroni} and \textit{V. Nesi}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2046, 1789--1806 (2004; Zbl 1108.74050) Full Text: DOI
Braides, Andrea; Francfort, Gilles A. Bounds on the effective behaviour of a square conducting lattice. (English) Zbl 1070.74040 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2046, 1755-1769 (2004). MSC: 74Q20 74Q05 78A40 74Q15 PDFBibTeX XMLCite \textit{A. Braides} and \textit{G. A. Francfort}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 460, No. 2046, 1755--1769 (2004; Zbl 1070.74040) Full Text: DOI
Garroni, Adriana; Kohn, Robert V. Some three-dimensional problems related to dielectric breakdown and polycrystal plasticity. (English) Zbl 1041.74059 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2038, 2613-2625 (2003). MSC: 74Q20 74C99 74E15 74E30 PDFBibTeX XMLCite \textit{A. Garroni} and \textit{R. V. Kohn}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2038, 2613--2625 (2003; Zbl 1041.74059) Full Text: DOI
Markov, Konstantin Z. On the sink strength and permeability of micro-cracked arrays. (English) Zbl 1041.74060 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2033, 1135-1151 (2003). MSC: 74Q20 74E30 74E35 PDFBibTeX XMLCite \textit{K. Z. Markov}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2033, 1135--1151 (2003; Zbl 1041.74060) Full Text: DOI
Barber, J. R. Bounds on the electrical resistance between contacting elastic rough bodies. (English) Zbl 1050.74038 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2029, 53-66 (2003). MSC: 74Q20 74F15 74M15 78A99 PDFBibTeX XMLCite \textit{J. R. Barber}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 459, No. 2029, 53--66 (2003; Zbl 1050.74038) Full Text: DOI
Talbot, D. R. S. Improved bounds for the overall properties of a nonlinear composite dielectric. (English) Zbl 0986.78011 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2007, 587-597 (2001). Reviewer: Aleksander Pankov (Vinnitsa) MSC: 78A48 78M40 PDFBibTeX XMLCite \textit{D. R. S. Talbot}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2007, 587--597 (2001; Zbl 0986.78011) 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
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
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