A Continuum Theory of Equilibrium of Irreversible Processes in Solids.
Abstract
A theory is presented to describe the coupled thermal and mechanical behavior of solids which exhibit irreversibility. The developments presented are restricted to definitions and analyses of 'equilibrium states.' The foundations of the theory embody the following assumptions: (1) the local equilbrium state is fully characterized by three state variables - i.e. the deformation gradient, the entropy density, and a substate variable, (2) a caloric equation of state and stress and temperature relations exist, (3) there is a bounded stable equilibrium region in state-space, (4) a stable equilibrium state satisfies a statement of static stability, and (5) an 'equilibrium process' may be represented by a continuous path in the stable equilibrium region. The meaning of 'equilibrium state' is clarified by considering global (static) stability. Two types are defined and analyzed; Global Adiabatic Stability and Global Adiabatic Mechanical Stability with Fixed Boundary. An equivalence between the latter and the definition of equilibrium state is proven. Several ideas for the further development of this theory are discussed in the concluding section. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1979
- Accession Number
- ADA085800
Entities
People
- Thomas B. Mcdonough