Statistical continuum theory for large plastic deformation of polycrystalline materials

DOI10.1016/S0022-5096(00)00040-5zbMath1031.74016OpenAlexW2085858509MaRDI QIDQ5930717

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Publication date: 26 February 2004

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(00)00040-5

zbMATH Keywords

texture evolutionGreen's functionstress-strain responsecorrelation functionsEuler angleslarge deformation plasticitysecant modulusstatistical modelTaylor modelvelocity gradientviscoplastic polycrystal

Mathematics Subject Classification ID

Crystalline structure (74E15) Texture in solid mechanics (74E25) Large-strain, rate-dependent theories of plasticity (74C20) Statistical mechanics of crystals (82D25)

Related Items (5)

Effective conductivity in isotropic heterogeneous media using a strong-contrast statistical continuum theory ⋮ A `stack' model of rate-independent polycrystals ⋮ A binary-tree based model for rate-independent polycrystals ⋮ New approximate solution for \(N\)-point correlation functions for heterogeneous materials ⋮ A new approximation for the three-point probability function

Cites Work

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• The finite deformation of rate-dependent polycrystals. II: A comparison of the self-consistent and Taylor methods
• Statistical continuum theory for inelastic behavior of a two-phase medium
• The evolution of probability functions in an inelastically deforming two-phase medium
• Continuum micro-mechanics of elastoplastic polycrystals
• Elastic moduli of perfectly disordered composite materials
• A variational approach to the theory of the elastic behaviour of polycrystals
• Bounds and self-consistent estimates for creep of polycrystalline materials
• Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media

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