The behavior of induced discontinuities behind curved shocks in isotropic linear elastic materials

DOI10.1007/BF00041303zbMath0557.73018MaRDI QIDQ761825

Peter J. Chen

Publication date: 1985

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

zbMATH Keywords

acceleration wavecurved longitudinal wavesdifferential equation depends nonlinearly on second fundamentalevolutionary behavior of mechanical wavesform of shock surface and shock amplitudegeometrical considerationsgoverning differential equationinduced discontinuitiesisotropic linear elastic materialsmethod of singular surfacesobtained in the limitshock amplitude vanishestransverse shock waves

Mathematics Subject Classification ID

Impact in solid mechanics (74M20) Elastic materials (74B99)

Related Items (2)

The behaviour of induced discontinuities behind a first order discontinuity wave for a quasi-linear hyperbolic system ⋮ The evolution laws of dilatational spherical and cylindrical weak nonlinear shock waves in elastic non-conductors

Cites Work

• Unnamed Item
• An accurate explicit finite difference algorithm for shocks in nonlinear wave propagation - One dimension
• The growth of acceleration waves of arbitrary form in homogeneously deformed elastic materials

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