A new proof that the number of linear elastic symmetries is eight

From MaRDI portal
Publication:5955246

DOI10.1016/S0022-5096(01)00064-3zbMath1017.74009MaRDI QIDQ5955246

Maurizio Vianello, Stephen C. Cowin, Peter Chadwick

Publication date: 13 February 2002

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)




Related Items (42)

Universal displacements in linear elasticityGeneralized stochastic approach for constitutive equation in linear elasticity: a random matrix modelEstimation of the effective thermoelastic moduli of fibrous nanocomposites with cylindrically anisotropic phasesCoordinate-free characterization of the symmetry classes of elasticity tensorsThe closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetrySymmetry classes for odd-order tensorsOn the statistical dependence for the components of random elasticity tensors exhibiting material symmetry propertiesA new proof that the number of linear elastic symmetries in two dimensions is fourUniversality in anisotropic linear anelasticityInfluence of local cubic anisotropy on the transition towards an equipartition regime in a 3D texture-less random elastic mediumThe Cowin-Mehrabadi theorem for an axis of symmetryA stochastic model for elasticity tensors with uncertain material symmetriesEquivalent mechanical properties of tensegrity truss structures with self-stress includedAlgebra of transversely isotropic sixth order tensors and solution to higher order inhomogeneity problemsApplication of Adomian‐type method to solve rectangular laminated thick plates in bendingInvariant measures of the lack of symmetry with respect to the symmetry groups of 2D elasticity tensorsOn the determination of plane and axial symmetries in linear elasticity and piezo-electricityUnnamed ItemIdentifying symmetry classes of elasticity tensors using monoclinic distance functionAn exact closed-form solution of three-dimensional transient Green's functions in a constrained transversely isotropic half-space2D Theory of Shell-like Tensegrity StructuresRecovering the normal form and symmetry class of an elasticity tensorReduced algebraic conditions for plane or axial tensorial symmetriesBootstrap elasticity: from linear to nonlinear constitutive representationsThermoelastic composites with columnar microstructure and cylindrically anisotropic phases. I: Exact resultsA spherically anisotropic microstructure model for fluid-saturated poroelastic isotropic materialsOn anisotropic elastic materials for which Young's modulus \(E(\mathbf{n})\) is independent of \(\mathbf{n}\) or the shear modulus \(G(\mathbf{n},\mathbf{m})\) is independent of \(\mathbf{n}\) and \(\mathbf{m}\)Partial uniqueness and obstruction to uniqueness in inverse problems for anisotropic elastic mediaAdomian decomposition method applied to anisotropic thick plates in bendingAnisotropic Fundamental Solutions for Linear Elasticity and Heat Conduction Problems Based on a Crystalline Class Hierarchy Governed Decomposition MethodTransient Green's functions of a buried pulse in a constrained transversely isotropic half-spaceA recursive methodology for the solution of semi-analytical rectangular anisotropic thin plates in linear bendingEffective elasticity tensors in context of random errorsNonlinear and linear elastodynamic transformation cloakingThe number and types of all possible rotational symmetries for flexoelectric tensorsThe representation of the linear elastic symmetries by sets of vectorsVery large Poisson's ratio with a bounded transverse strain in anisotropic elastic materialsSymmetry classes in piezoelectricity from second-order symmetriesExactly solvable spherically anisotropic thermoelastic microstructures2-norm effective isotropic Hookean solidsCharacterization of the symmetry class of an elasticity tensor using polynomial covariantsCharacterization of elasticity-tensor symmetries using \(SU(2)\)



Cites Work


This page was built for publication: A new proof that the number of linear elastic symmetries is eight