On minimal representations for constitutive equations of anisotropic elastic materials

Related Items (3)

Bootstrap elasticity. II: Corrections and extensions ⋮ Bootstrap elasticity: from linear to nonlinear constitutive representations ⋮ Bootstrap elasticity. III: Minimal nonlinear constitutive representation for cubic materials

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors. I, II, III, IV, V
Stress-deformation relations for anisotropic solids
Further results on the strain-energy function for anisotropic elastic materials
Applications of tensor functions in solid mechanics
Material symmetry restrictions on non-polynomial constitutive equations
A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions I: Scalar-valued isotropic functions
Remarks on the continuity of the scalar coefficients in the representation \(H(A)=\alpha I+\beta A+\gamma A^ 2\) for isotropic tensor functions
The description, classification, and reality of material and physical symmetries
A physically motivated set of invariants and tensor generators in the case of transverse isotropy
Differentiability properties of isotropic functions
On the irreducibility of Professor G. F. Smith's representations for isotropic functions
On representations of anisotropic invariants
General irreducible representations for constitutive equations of elastic crystals and transversely isotropic elastic solids
Smoothness of the scalar coefficients in the representation \(H(A)= \alpha I+ \beta A+ \gamma A^ 2\) for isotropic tensor functions of class \(C^ r\)
An introduction to continuum mechanics
Material symmetry restrictions on constitutive equations
On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
On anisotropic scalar functions of a single symmetric tensor
A Simple Derivation of Representations for Non-Polynomial Constitutive Equations in Some Cases of Anisotropy
The Strain-Energy Function for Anisotropic Elastic Materials
On Irreducible Representations for Isotropic Scalar Functions
Separation of principal stresses in dynamic photoelasticity
On Isotropic Extension of Anisotropic Tensor Functions
Differentiability of the scalar coefficients in two representation formulae for isotropic tensor functions in two dimensions
Optimal ranking of tournaments
Das isotrope Elastizitätsgesetz
Elasticity Beyond the Elastic Limit
A Mathematical Theory of Dilatancy

This page was built for publication: On minimal representations for constitutive equations of anisotropic elastic materials