Hyperbolicity of velocity-stress equations for waves in anisotropic elastic solids

DOI10.1007/s10659-011-9315-8zbMath1331.74080OpenAlexW1980113813MaRDI QIDQ1937155

Sheng-Tao John Yu, Yung-Yu Chen, Lixiang Yang

Publication date: 11 February 2013

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

Full work available at URL: https://doi.org/10.1007/s10659-011-9315-8

zbMATH Keywords

spectrumJacobian matricesChristoffel matrixeigenvector matrix

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Bulk waves in solid mechanics (74J10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Hyperbolicity of velocity-stress-electromagnetic field equations for waves in anisotropic magnetoelectroelastic solids with hexagonal symmetry

Cites Work

• Numerical simulation of linear and nonlinear waves in hypoelastic solids by the CESE method
• The method of space-time conservation element and solution element -- a new approach for solving the Navier-Stokes and Euler equations
• Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method
• Diagonalization and Simultaneous Symmetrization of the Gas-Dynamic Matrices
• Finite‐volume methods for non‐linear elasticity in heterogeneous media
• Modeling the propagation of elastic waves using a modified finite difference grid.
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