ON THE REPRESENTATION OF ENERGY AND MOMENTUM IN ELASTICITY

DOI10.1142/S0218202500000136zbMath1077.74516arXivmath-ph/9907018OpenAlexW2115609239MaRDI QIDQ4798789

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Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9907018

zbMATH Keywords

quasilinear hyperbolic systemdissipation principle

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Dynamical problems in solid mechanics (74H99) Theory of constitutive functions in solid mechanics (74A20)

Cites Work

• Mass, internal energy, and Cauchy's equations in frame-indifferent thermodynamics
• The thermodynamics of elastic materials with heat conduction and viscosity
• On generalized momentum
• On configurational inertial forces at a phase interface
• Energy principles and the equations of motion in Galilean thermomechanics
• Configurational forces and the basic laws for crack propagation.
• Inertia and invariance
• Quasilinear hyperbolic systems with involutions
• Configurational forces and a constitutive theory for crack propagation that allows for kinking and curving
• On the continuum theory of deformable ferromagnetic solids
• Stability for Systems of Conservation Laws in Several Space Dimensions

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