Symmetry conditions for third order elastic moduli and implications in nonlinear wave theory
type: Item
instance of: scholarly article
title: Symmetry conditions for third order elastic moduli and implications in nonlinear wave theory
zbMATH Open document ID: 0755.73007
DOI: 10.1007/BF00040928
published in: Journal of Elasticity
publication date: 1993-01-16T00:00:00Z
Mathematics Subject Classification ID: 74E15
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74J10
zbMATH DE Number: 91233
zbMATH Keywords: plane of material symmetry
zbMATH Keywords: 56 third order moduli
zbMATH Keywords: nonlinearity parameter
zbMATH Keywords: acceleration waves
zbMATH Keywords: transverse waves
author: Andrew N. Norris
MaRDI profile type: Publication
cites work: ON THE IDENTIFICATION OF MATERIAL SYMMETRY FOR ANISOTROPIC ELASTIC MATERIALS
cites work: On the completeness of crystallographic symmetries in the description of the symmetries of the elastic tensor
cites work: ON THE ACOUSTIC DETERMINATION OF THE ELASTIC MODULI OF ANISOTROPIC SOLIDS AND ACOUSTIC CONDITIONS FOR THE EXISTENCE OF SYMMETRY PLANES
cites work: On the definition of elastic moduli
cites work: PROPERTIES OF THE ANISOTROPIC ELASTICITY TENSOR
cites work: Matter tensors in symmetrical systems
cites work: Methods of matrix algebra
cites work: The behavior of plane shock waves in deformable magnetic materials
cites work: On the propagation of generalized transverse waves in heat-conducting elastic materials
full work available at URL: https://doi.org/10.1007/bf00040928
OpenAlex ID: W2071064271
Recommended article: Symmetry solutions of a nonlinear elastic wave equation with third-order anharmonic corrections
Recommended article: Symmetry and bifurcation in three-dimensional elasticity
Recommended article: Symmetry and equivariance in nonlinear elastostatics. I
Recommended article: Symmetry and bifurcation in three-dimensional elasticity. II
Recommended article: Q3474303
Recommended article: Q4830128
Recommended article: Third approximation in the analysis of a quadratic nonlinear hyperelastic cylindrical wave
Recommended article: Lie symmetry analysis and conservation laws of non-linear (2+1) elastic wave equation
Recommended article: Symmetric vibrations of higher dimensional nonlinear wave equations
Recommended article: On the symmetry group properties of equations of nonlocal elasticity
description: scientific article; zbMATH DE number 91233