Termodynamiczna, infinitezymalna teoria lepkoplastyczności

The object of this paper is to discuss a thermodynamic theory of viscoplasticity under the assumption of infinitesimal deformations. In the first part the foundations of mechanics and thermodynamics of continua are analyzed. After defining a continuous body the descriptions of deformation and stress are showed. Based on integral formulation Cauchy's laws and the principles of thermodynamics are stated. In p. 4 a mathematical theory of a rheological material with internal structural changes is proposed. To describe the internal dissipation of a material two groups of internal parameters are introduced. In p. 5 this theory is used to describe the properties of an elastic-viscoplastic material. Restrictions implied by thermodynamics and the assumption of infinitesimal deformations are discussed. In p. 6 the physical foundations of viscoplasticity are analyzed. The mechanisms generating the rheological effects and dynamic plastic deformations are investigated. The mechanisms leading to the theory of an elastic-viscoplastic material are discussed. In p. 7-10 some particular cases of materials are investigated. In particular the stable material is described.