A three-dimensional implicit constitutive relation to describe stress softening. II: Analysis of some boundary value problems

DOI10.1007/S00707-022-03251-1zbMath1501.74005OpenAlexW4285094663MaRDI QIDQ2167876

R. Bustamante, Kumbakonam R. Rajagopal

Publication date: 31 August 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03251-1

zbMATH Keywords

cylindrical annulus inflationhomogeneous cylinder compressionsimple slab shear

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)

Cites Work

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• The explicit determination of the logarithm of a tensor and its derivatives
• A three-dimensional implicit constitutive relation for a body exhibiting stress softening. I: Theoretical underpinnings
• The elasticity of elasticity
• Conspectus of concepts of elasticity
• Inversion of higher order isotropic tensors with minor symmetries and solution of higher order heterogeneity problems
• A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies
• On a class of non-dissipative materials that are not hyperelastic
• A model for a solid undergoing rate-independent dissipative mechanical processes
• A thermodynamic basis for implicit rate-type constitutive relations describing the inelastic response of solids undergoing finite deformation
• On the response of non-dissipative solids

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