Eulerian formulation of transport equations for three-dimensional shock waves in simple elastic solids

DOI10.1007/BF00042998zbMath0522.73020MaRDI QIDQ1056249

Yong-chi Li, Ting, T. C. T.

Publication date: 1983

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

zbMATH Keywords

Cauchy stress depends on deformation gradient onlyEulerian formulation of transport equationsgradient on shock surface of shock wave speedsgrowth or decay of discontinuity depends on unknown quantity behind shock waveinhomogeneous term depends on motion ahead of shock surfacepropagation of three- dimensional shock wavesimple elastic solidtwo principal curvatures of shock surfaceuniversal equation relating growth or decay of discontinuities in normal stress, normal velocity and specific volumevanishes when motion ahead of shock surface is uniform

Mathematics Subject Classification ID

Impact in solid mechanics (74M20)

Related Items (6)

Uniformly moving antiplane crack in flexoelectric materials ⋮ Lagrangian description of transport equations for shock waves in three- dimensional elastic solids ⋮ Some problems on jump conditions of shock waves in 3-dimensional solids ⋮ Lagrangian description of transport equations for shock waves in three- dimensional elastic solids ⋮ The evolution laws of dilatational spherical and cylindrical weak nonlinear shock waves in elastic non-conductors ⋮ A generalized Goursat-Riemann problem for plane waves in isotropic elastic solids

Cites Work

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• Acceleration waves in simple elastic materials
• Further study on one-dimensional shock waves in nonlinear elastic media
• AN INTRINSIC DESCRIPTION OF UNSTEADY SHOCK WAVES
• Lagrangian description of transport equations for shock waves in three- dimensional elastic solids

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