On Damage Effect Tensors of Anisotropic Solids

DOI10.1002/zamm.19950750114zbMath0820.73060OpenAlexW2076507817MaRDI QIDQ4835473

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Publication date: 17 September 1995

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19950750114

zbMATH Keywords

symmetrysecond order tensorconcept of effective stressdeformation-induced damagefirst and second order approximations

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Vector and tensor algebra, theory of invariants (15A72) Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Fracture and damage (74R99)

Related Items (2)

Dual orthotropic damage-effect tensors with complementary structures ⋮ An `extended' volumetric/deviatoric formulation of anisotropic damage based on a pseudo-log rate.

Cites Work

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• The formulation of constitutive equations in continuum physics. I
• Symmetry relations for orthotropic and isotropic materials
• The theory of matrix polynomials and its application to the mechanics of isotropic continua
• Material symmetry restrictions on non-polynomial constitutive equations
• Integrity basis for a second-order and a fourth-order tensor
• A Simple Derivation of Representations for Non-Polynomial Constitutive Equations in Some Cases of Anisotropy
• Net-stress analysis in creep mechanics

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