A physical basis for continuum theories of finite strain plasticity. I

DOI10.1007/BF00281158zbMath0441.73003OpenAlexW2064015783MaRDI QIDQ1143200

James F. Bell

Publication date: 1979

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281158

zbMATH Keywords

continuum plasticitymeasured, non-isochoric local inhomogeneity in the small related to properties of statistical homogeneity in the large

Mathematics Subject Classification ID

Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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The decrease of volume during loading to finite plastic strain ⋮ On the symmetry and coaxiality of pertinent stretch and stress tensors during non-proportional loading at finite plastic strain ⋮ Continuum plasticity at finite strain for stress paths of arbitrary composition and direction

Cites Work

• Interpretation of adscititious inequalities through the effects pure shear stress produces upon an isotropic elastic solid