Lagrangian description of transport equations for shock waves in three- dimensional elastic solids

DOI10.1007/BF01908224zbMath0501.73019OpenAlexW1981789092MaRDI QIDQ5905338

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

Publication date: 1982

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01908224

zbMATH Keywords

growthdecayLagrangian coordinatesinhomogeneous termtime derivativesarbitrary propagation directiondepends on unknown quantity immediately behind shock wavegradient taken on shock surface of normal shock wave speedthree-dimensional nonlinear elastic solidstime derivative of amplitudeamplitudes of shock wavesrelated to motion ahead of shock surfaceset of transport equationstwo principal curvatures of the shock surfacevanishes when motion is uniformvarious jump quantities

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Impact in solid mechanics (74M20)

Cites Work

• Unnamed Item
• Eulerian formulation of transport equations for three-dimensional shock waves in simple elastic solids
• Intrinsic description of 3-dimensional shock waves in nonlinear elastic fluids
• Thermodynamic influences on the behavior of curved shock waves in elastic fluids and the vorticity jump
• Three-dimensional shock waves and their behavior in elastic fluids
• On the growth of one-dimensional shock waves in materials with memory
• The growth of one-dimensional shock waves in elastic nonconductors
• One dimensional shock waves in elastic non-conductors
• Further study on one-dimensional shock waves in nonlinear elastic media
• AN INTRINSIC DESCRIPTION OF UNSTEADY SHOCK WAVES

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