Spectral Decomposition of the Elasticity Tensor
From MaRDI portal
Publication:5285508
DOI10.1115/1.2894040zbMath0770.73013OpenAlexW2054807052MaRDI QIDQ5285508
Publication date: 29 June 1993
Published in: Journal of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1115/1.2894040
anisotropic elasticityeigenvectorsinvariant subspacesmaterial symmetrystored energy functionacoustic tensorsymmetric linear transformation
Anisotropy in solid mechanics (74E10) Crystalline structure (74E15) Eigenvalues, singular values, and eigenvectors (15A18) Elastic materials (74B99)
Related Items (21)
Anistropic creep modeling based on elastic projection operators with applications to CMSX-4 superalloy ⋮ Symmetry classes for elasticity tensors ⋮ 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 ⋮ Anisotropy in geometrically non-linear elasticity with generalized Seth-Hill strain tensors projected to invariant subspaces ⋮ 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 ⋮ Projector representation of isotropic linear elastic material laws for directed surfaces ⋮ On the plastic wave speeds in rate-independent elastic-plastic materials with anisotropic elasticity ⋮ Eigenvalue problems for tensor-block matrices and their applications to mechanics ⋮ The stiffest designs of elastic plates: vector optimization for two loading conditions ⋮ Recovering the normal form and symmetry class of an elasticity tensor ⋮ On the spectral decomposition of the elasticity tensor for the cubic crystal system ⋮ Handling tensors using tensorial Kelvin bases: application to olivine polycrystal deformation modeling using elastically anistropic CPFEM ⋮ Relations between material, intermediate and spatial generalized strain measures for anisotropic multiplicative inelasticity ⋮ Spectral decomposition for graded multi-scale topology optimization ⋮ Spectral decomposition of anisotropic elasticity ⋮ Visualising elastic anisotropy: theoretical background and computational implementation ⋮ Elastic eigenstates in finite element modelling of large anisotropic elasticity ⋮ On the theory of fourth-order tensors and their applications in computational mechanics
This page was built for publication: Spectral Decomposition of the Elasticity Tensor