The second-order procedure: Exact vs approximate results for isotropic, two-phase composites

DOI10.1016/S0022-5096(99)00005-8zbMath0990.74052OpenAlexW1979531064MaRDI QIDQ1975228

Pedro Ponte Castañeda, Michael V. Nebozhyn

Publication date: 19 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0022-5096(99)00005-8

zbMATH Keywords

reinforced materialHashin-Shtrikman estimateaverage strain deviatorisotropic two-phase compositesproportional strain hypothesissecond-order estimates

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30)

Related Items (4)

A homogenization-based constitutive model for isotropic viscoplastic porous media ⋮ A semi-analytical model for the behavior of saturated viscoplastic materials containing two populations of voids of different sizes ⋮ Spurious softening in the macroscopic response predicted by the additive tangent Mori-Tanaka scheme for elastic-viscoplastic composites ⋮ Second-order homogenization estimates for nonlinear composites incorporating field fluctuations. II: Applications

Cites Work

• A variational approach to the theory of the elastic behaviour of multiphase materials
• Some simple explicit bounds for the overall behaviour of nonlinear composites
• Bounds and self-consistent estimates for the overall properties of anisotropic composites
• Exact second-order estimates for the effective mechanical properties of nonlinear composite materials.
• Continuum micro-mechanics of elastoplastic polycrystals
• Variational and Related Methods for the Overall Properties of Composites
• Second–order estimates of the self–consistent type for viscoplastic polycrystals
• Nonlinear electrical conductivity in heterogeneous media
• Variational estimates of the self-consistent type for the effective behaviour of some model nonlinear polycrystals
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