Variational estimates of the self-consistent type for the effective behaviour of some model nonlinear polycrystals

DOI10.1098/rspa.1997.0144zbMath0914.73080OpenAlexW2111010010MaRDI QIDQ4377146

Michael V. Nebozhyn, Pedro Ponte Castañeda

Publication date: 9 February 1998

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1997.0144

zbMATH Keywords

linear comparison polycrystal Taylor bound Kohn-Little bound

Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).

Related Items (10)

Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals ⋮ The second-order procedure: Exact vs approximate results for isotropic, two-phase composites ⋮ Linear comparison estimates for the effective resistivity of three-dimensional nonlinear polycrystals ⋮ Variational self-consistent estimates for cubic viscoplastic polycrystals: The effects of grain anisotropy and shape. ⋮ Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals ⋮ A model problem concerning recoverable strains of shape-memory polycrystals ⋮ Variational linear comparison bounds for nonlinear composites with anisotropic phases. II. Crystalline materials ⋮ Improved bounds for the yield stress of a model polycrystalline material ⋮ Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory ⋮ Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II: Applications

This page was built for publication: Variational estimates of the self-consistent type for the effective behaviour of some model nonlinear polycrystals