Rate Constitutive Theories of Order Zero in Lagrangian Description for Thermoelastic Solids

摘要: This article presents constitutive theories for the stress tensor and heat vector homogeneous, isotropic thermoelastic solids in Lagrangian description finite deformation. The deforming solid is assumed to be thermodynamic equilibrium during evolution. Since conservation of mass, balance momenta, energy are independent constitution matter, second law thermodynamics must form basis deriving theories. We introduce concept rate theory show that are, fact, order zero. These consider material derivative zero conjugate strain as one argument tensors established a dependent variable theory. Generalization this leading higher considered followup works [1, 2]. conditions...