On the dissipation inequality in equilibrium shocks

DOI10.1007/BF00042999zbMath0522.73032MaRDI QIDQ1056257

Chikayoshi Yatomi, Naoshi Nishimura

Publication date: 1983

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

zbMATH Keywords

anti-plane deformationsexpressions for dissipation inequality corresponding to equilibrium shockindependent of orientation of shocksufficient condition on constitutive equations for positive dissipation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Impact in solid mechanics (74M20) Brittle damage (74R05)

Related Items

Equilibrium shocks in plane deformations of incompressible elastic materials, Construction of two-phase equilibria in a non-elliptic hyperelastic material, On the driving traction acting on a surface of strain discontinuity in a continuum

Cites Work

• Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: An example
• Anti-plane shear fields with discontinuous deformation gradients near the tip of a crack in finite elastostatics
• On the dissipation associated with equilibrium shocks in finite elasticity