Classification of \(2\times{} 2\) non-strictly hyperbolic systems for plane waves in isotropic elastic solids

DOI10.1016/0020-7225(89)90156-0zbMath0737.73032OpenAlexW1968645494MaRDI QIDQ1173613

Guangshan Zhu, Ting, T. C. T.

Publication date: 25 June 1992

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(89)90156-0

zbMATH Keywords

hyperelastic materials\(3\times 3\) system in the full-space Riemann problemsystem of \(6\times 6\) hyperbolic conservation laws

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Wave equation (35L05) Hyperbolic conservation laws (35L65) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (1)

Wave curves with the presence of an umbilic point and an umbilic line for plane waves in isotropic elastic solids

Cites Work

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• The Riemann Problem for General 2 × 2 Conservation Laws
• On wave propagation problems in which 𝑐_{𝑓}=𝑐_{𝑠}=𝑐₂ occurs

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