General irreducible representations for constitutive equations of elastic crystals and transversely isotropic elastic solids

DOI10.1007/BF00042441zbMath0828.73004MaRDI QIDQ1898368

Yanyan Li

Publication date: 17 September 1995

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

material symmetrymaterial frame-indifferenceinvariance restrictionsnon-polynomial constitutive equations

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Crystalline structure (74E15) Theory of constitutive functions in solid mechanics (74A20)

Related Items

A Universal Relation Characterizing Transversely Hemitropic Hyperelastic Materials, On physics-informed data-driven isotropic and anisotropic constitutive models through probabilistic machine learning and space-filling sampling, On minimal representations for constitutive equations of anisotropic elastic materials, Irreducibility of a symmetry group implies isotropy, Bootstrap elasticity: from linear to nonlinear constitutive representations, Bootstrap elasticity. III: Minimal nonlinear constitutive representation for cubic materials

Cites Work

• Unnamed Item
• On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors. I, II, III, IV, V
• Further results on the strain-energy function for anisotropic elastic materials
• Material symmetry restrictions on non-polynomial constitutive equations
• On representations of anisotropic invariants
• An introduction to continuum mechanics
• Material symmetry restrictions on constitutive equations
• A Simple Derivation of Representations for Non-Polynomial Constitutive Equations in Some Cases of Anisotropy
• The Strain-Energy Function for Anisotropic Elastic Materials
• On Isotropic Extension of Anisotropic Tensor Functions
• Optimal ranking of tournaments