Second-order estimates for the effective behaviour of viscoplastic polycrystalline materials.

DOI10.1016/S0022-5096(01)00077-1zbMath1047.74529MaRDI QIDQ5955260

André Zaoui, Pedro Ponte Castañeda, Michel Bornert, Renaud Masson

Publication date: 8 July 2002

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Bounds on effective properties in solid mechanics (74Q20) Crystalline structure (74E15)

Related Items (8)

Second-order theory for the effective behavior and field fluctuations in viscoplastic polycrystals ⋮ Sequential linearization method for viscous/elastic heterogeneous materials ⋮ Bounding the plastic strength of polycrystalline solids by linear-comparison homogenization methods ⋮ Continuum modeling of the response of a Mg alloy AZ31 rolled sheet during uniaxial deformation ⋮ A deformation theory of strain gradient crystal plasticity that accounts for geometrically necessary dislocations ⋮ Spurious softening in the macroscopic response predicted by the additive tangent Mori-Tanaka scheme for elastic-viscoplastic composites ⋮ Homogenization estimates for the average behavior and field fluctuations in cubic and hexagonal viscoplastic polycrystals ⋮ Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. I: Theory

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