A Generalized Thermomechanic Approach

Published in: Megaprojects: Building Infrastructure by Fostering Engineering Collaboration, Efficient and Effective Integration and Innovative Planning: Proceedings of the 10th Latin American and Caribbean Conference for Engineering and Technology
Date of Conference: July 23-25, 2012
Location of Conference: Panama City, Panama
Authors: Hermann Alcázar Rojas
Cesar P. Castillo Cáceres
Mario J. Valencia Salas
Darwin R. Álvarez Flores
Refereed Paper: #178

Abstract

A generalized thermomechanic approach is obtained starting with an analysis of internal variables and thermodynamic potentials dealing with classical thermodynamics. This concept is extended for small deformations in continuum mechanics, where after applying conservation of mass, balance of linear momemtum, balance of moment of momentum, the first and second law of thermodynamics the Clausius-Duhem inequality is obtained. After applying the normality rule and making use of Lagrange multipliers and yield functions it was concluded for n-state equations (for n-state variables) m-yield functions (m≤n) are used to define the internal state variables evolution.