On Hooke's law
From MaRDI portal
Publication:1067816
DOI10.1016/0021-8928(84)90137-0zbMath0581.73015OpenAlexW1995293185MaRDI QIDQ1067816
Publication date: 1985
Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8928(84)90137-0
Anisotropy in solid mechanics (74E10) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items
Strain energy density bounds for linear anisotropic elastic materials, Program of experiments to determine the type of initial elastic anisotropy of material, Bridging mixed integer linear programming for truss topology optimization and additive manufacturing, Coordinate-free characterization of the symmetry classes of elasticity tensors, The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry, Invariant characteristic representations for classical and micropolar anisotropic elasticity tensors, Eigenvalue problem for tensors of even rank and its applications in mechanics, An attempt to separate elastic strain energy density of linear elastic anisotropic materials based on strain considerations, A minimal integrity basis for the elasticity tensor, On the algebraic structure of isotropic generalized elasticity theories, B-bar FEMs for anisotropic elasticity, Projector representation of isotropic linear elastic material laws for directed surfaces, A stochastic model for elasticity tensors with uncertain material symmetries, A new spectral representation of the strain energy function for linear anisotropic elasticity with a generalization for damage, A 6-ring embedded strain sensor, Non-quadratic Kelvin modes based plasticity criteria for anisotropic materials, Invariant measures of the lack of symmetry with respect to the symmetry groups of 2D elasticity tensors, Eigenvalue problems for tensor-block matrices and their applications to mechanics, Compliance optimization with nonlinear elastic materials: Application to constitutive laws dissymmetric in tension--compression., Space of 2D elastic materials: a geometric journey, On anisotropic polynomial relations for the elasticity tensor, The stiffest designs of elastic plates: vector optimization for two loading conditions, On the spectral decomposition of the elasticity tensor for the cubic crystal system, The constitutive tensor of linear elasticity: Its decompositions, Cauchy relations, null Lagrangians, and wave propagation, MATCHED ASYMPTOTIC EXPANSION METHOD FOR A HOMOGENIZED INTERFACE MODEL, On a family of quasi-isotropic fiber-reinforced composites, Spectral decomposition of anisotropic elasticity, Elastic waves under unusual anisotropy, Invariant properties for finding distance in space of elasticity tensors, Elastic eigenstates in finite element modelling of large anisotropic elasticity, Minimal functional bases for elasticity tensor symmetry classes, The representation of the linear elastic symmetries by sets of vectors, On the theory of fourth-order tensors and their applications in computational mechanics, Sorting out the elastic anisotropy of transversely isotropic materials, Characterization of the symmetry class of an elasticity tensor using polynomial covariants, Kelvin decomposition for nonlinear hyperelastic modeling in large deformation, Effective rationality of second-order symmetric tensor spaces
Cites Work
- A short proof of the representation theorem for isotropic, linear stress- strain relations
- On the optimal distribution of the resistivity tensor of the working substance in a magnetohydrodynamic channel
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item