Effective properties of porous ideally plastic or viscoplastic materials containing rigid particles

DOI10.1016/S0022-5096(96)00128-7zbMath0974.74552MaRDI QIDQ1589258

Mihai Gărăjeu, Pierre Suquet

Publication date: 3 January 2001

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

zbMATH Keywords

finite element methodstrain energyvariational calculusrigid inclusionspowder compactionvoidsviscoplastic materialsparticulate reinforced materialideally plastic materialeffective dissipation potentialgeneralized Gurson modeloverall yield surface

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30)

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A numerical upscaling method for an elliptic equation with heterogeneous tensorial coefficients ⋮ Analytic plastic potential for porous aggregates with matrix exhibiting tension-compression asymmetry ⋮ Assessment of hollow spheroid models for ductile failure prediction by limit analysis and conic programming ⋮ Bounds and estimates for the effective yield surface of porous media with a uniform or a nonuniform distribution of voids ⋮ A bipotential-based limit analysis and homogenization of ductile porous materials with non-associated Drucker-Prager matrix ⋮ Numerical limit analysis bounds for ductile porous media with oblate voids ⋮ Dual-stage nested homogenization for rate-dependent anisotropic elasto-plasticity model of dendritic cast aluminum alloys ⋮ An assessment of the Gurson yield criterion by a computational multi‐scale approach ⋮ Porous materials with two populations of voids under internal pressure. I. Instantaneous constitutive relations ⋮ Limit analysis and numerical modeling of spherically porous solids with Coulomb and Drucker-Prager matrices ⋮ Numerical homogenization of elastic properties and plastic yield stress of rock-like materials with voids and inclusions at same scale ⋮ Homogenization-based continuum plasticity-damage model for ductile failure of materials containing heterogeneities

Cites Work

• The effective mechanical properties of nonlinear isotropic composites
• On methods for bounding the overall properties of nonlinear composites
• Inelastic deformation of porous materials
• On bounds for the overall potential of power law materials containing voids with an arbitrary shape
• The constitutive law of nonlinear viscous and porous materials
• New variational principles in plasticity and their application to composite materials
• Overall potentials and extremal surfaces of power law or ideally plastic composites
• Densification by plastic deformation around spherical inclusions
• Exact results and approximate models for porous viscoplastic solids
• Exact second-order estimates for the effective mechanical properties of nonlinear composite materials.
• On macroscopic effects of heterogeneity in elastoplastic media at finite strain
• The Structure of Overall Constitutive Relations for a Class of Nonlinear Composites

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