Variational-Lagrangian irreversible thermodynamics of nonlinear thermorheology

摘要: A principle of virtual dissipation generalizing d'Alembert's to nonlinear irreversible thermodynamics provides a unifying foundation which leads an extremely general variational-Lagrangian analysis dissipative phenomena. Thus synthesis is achieved between and classical mechanics. The present paper applies this the thermomechanics continua with heat conduction. Field equations, constitutive equations Lagrangian generalized coordinates are derived for thermo- viscoelastcity, thermoelasticity conduction, plasticity, com- pressible conducting fluids Newtonian non-Newtonian viscosity. instability also analyzed from same fundamental viewpoint. 1. Introduction. Lagrangian-variational approach dynamics was initiated by author in 1954-55 (I, 21. It developed mainly context linearity applied (3, 41 viscoelasticity (l, 2, 41, porous media (5), initially stressed continuous (6, 71. appli- cability these methods problems demonstrated variety special cases, such as transfer (8), solids (9) (lo). treatment based on thermodynamic has been presented Schapery (ll). theory embodied publications cited above unified formalism coordinates. Among many advantages, have form any coordinate system. basic reciprocity properties linear systems immediately evident very large class phenomena boundary conditions. As consequence, proof does not be established each particular case. Basic heredity obtained concept internal expression associated operator formalism. corresponding