Second–order estimates of the self–consistent type for viscoplastic polycrystals

DOI10.1098/rspa.1998.0290zbMath0916.73025OpenAlexW2074178663MaRDI QIDQ4224051

Michel Bornert, Pedro Ponte Castañeda

Publication date: 26 July 1999

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.1998.0290

zbMATH Keywords

rate-dependent plasticitylinear thermoelastic comparison compositecreep of polycrystalsKohn-Little boundssecond order homogenization procedure

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30)

Related Items (7)

Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals ⋮ A set of enhanced formulations for existing nonlinear homogenization schemes and their evaluation ⋮ The second-order procedure: Exact vs approximate results for isotropic, two-phase composites ⋮ A second-order homogenization method in finite elasticity and applications to black-filled elastomers ⋮ Variational self-consistent estimates for cubic viscoplastic polycrystals: The effects of grain anisotropy and shape. ⋮ Second-order estimates for the effective behaviour of viscoplastic polycrystalline materials. ⋮ Second‐order and affine estimates for the behavior of viscous polycrystals

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