Symmetry conditions for third order elastic moduli and implications in nonlinear wave theory

DOI10.1007/BF00040928zbMath0755.73007OpenAlexW2071064271MaRDI QIDQ1197275

Andrew N. Norris

Publication date: 16 January 1993

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00040928

zbMATH Keywords

acceleration wavestransverse wavesnonlinearity parameter56 third order moduliplane of material symmetry

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Bulk waves in solid mechanics (74J10) Crystalline structure (74E15)

Related Items (4)

Estimates of nonlinear elastic constants and acoustic nonlinearity parameters for textured polycrystals ⋮ Invariant characteristic representations for classical and micropolar anisotropic elasticity tensors ⋮ Tunable three-dimensional nonreciprocal transmission in a layered nonlinear elastic wave metamaterial by initial stresses ⋮ Representations for transversely hemitropic and transversely isotropic stress-strain relations

Cites Work

• On the completeness of crystallographic symmetries in the description of the symmetries of the elastic tensor
• On the propagation of generalized transverse waves in heat-conducting elastic materials
• The behavior of plane shock waves in deformable magnetic materials
• Methods of matrix algebra
• On the definition of elastic moduli
• ON THE IDENTIFICATION OF MATERIAL SYMMETRY FOR ANISOTROPIC ELASTIC MATERIALS
• ON THE ACOUSTIC DETERMINATION OF THE ELASTIC MODULI OF ANISOTROPIC SOLIDS AND ACOUSTIC CONDITIONS FOR THE EXISTENCE OF SYMMETRY PLANES
• PROPERTIES OF THE ANISOTROPIC ELASTICITY TENSOR
• Matter tensors in symmetrical systems

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