One-dimensional nonlinear motions in electroelastic solids: Characteristics and shock waves

DOI10.1007/BF00945051zbMath0653.73016OpenAlexW2419591744MaRDI QIDQ1108109

Gérard A. Maugin, Wafa Ani

Publication date: 1988

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945051

zbMATH Keywords

method of characteristicsthird orderspeed of propagationinfinitesimal disturbancesdynamicalentropy jumpgeometrical compatibility conditionskinematicallinearized forms of the governing equationsnonlinear elastic dielectriesone-dimensional longitudinal shocksquartic internal energy densityquasistatic electric field approximation

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Vibrations in dynamical problems in solid mechanics (74H45) Electromagnetic effects in solid mechanics (74F15) Impact in solid mechanics (74M20) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items

Thermodynamical formulation for coupled electromechanical hysteresis effects. I: Basic equations, Dynamics of discontinuities in elastic solids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the behavior of shock waves in deformable dielectric materials
• Review article on wave motion in magnetizable deformable solids
• Nonlinear wave motion in magnetoelasticity
• Thermodynamic influences on the behavior of one-dimensional shock waves in elastic dielectrics
• Non-linear wave propagation with applications to physics and magnetohydrodynamics
• Hyperbolic systems of conservation laws II