The incompressible limit in linear anisotropic elasticity, with applications to surface waves and elastostatics

DOI10.1016/S0022-5096(01)00121-1zbMath1038.74008arXiv1305.4733MaRDI QIDQ1612671

Ting, T. C. T., Paul A. Martin, Michel Destrade

Publication date: 25 August 2002

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

Full work available at URL: https://arxiv.org/abs/1305.4733

zbMATH Keywords

stress wavesstrain energy densitydislocationsBurgers vectorStroh formalismsecular equationsymmetry planemonoclinic materialBarnett-Lothe tensorselastic compliance

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Surface waves in solid mechanics (74J15)

Related Items (12)

Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects ⋮ Rayleigh waves with impedance boundary conditions in incompressible anisotropic half-spaces ⋮ On the incompressible behavior in weakly nonlinear elasticity ⋮ The linear elasticity tensor of incompressible materials ⋮ On anisotropic elasticity and questions concerning its finite element implementation ⋮ Propagation of Rayleigh wave in initially-stressed compressible hyperelastic materials ⋮ Far-field resonant third harmonic surface wave on a half-space of incompressible material of cubic nonlinearity ⋮ A stabilised displacement-volumetric strain formulation for nearly incompressible and anisotropic materials ⋮ Instability of compressible soft electroactive plates ⋮ On the Barnett-Lothe tensors for anisotropic elastic materials ⋮ Utilization of the theory of small on large deformation for studying mechanosensitive cellular behaviors ⋮ Anisotropic elasticity and harmonic functions in Cartesian geometry

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