Towards an Analytical Mechanics of Dissipative Materials
نویسنده
چکیده
A Lagrangian-Hamiltonian variational formulation is proposed for the thermoelasticity of heat conductors and its generalization to anelasticity described by means of internal-state variablesby using a gauge-theoretical technique (introduction of an additional variable of state the gradient of thermacy that renders the system apparently Hamiltonian). Projecting the equations resulting from the Euler-Lagrange equations and the equations deduced from the application of Noether’s theorem back on the original space provides all local balance equations of the dissipative theory, including the entropy equation and the equation of canonical momentum in material space (which are not strict conservation laws). A canonical structure clearly emerges for the anelasticity of conductors in finite strains.
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