Accession Number : AD0687132
Title : PARADOXES IN THE APPLICATION OF THERMODYNAMICS TO STRAINED SOLIDS.
Descriptive Note : Technical rept.,
Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF ENGINEERING
Personal Author(s) : Kestin,Joseph ; Rice,James R.
Report Date : MAR 1969
Pagination or Media Count : 49
Abstract : The paper identifies the difficulties encountered in extending thermostatics to the description of irreversible processes in solid materials, and compares the resolutions proposed for them. The difficulties stem from the requirement of a continuum formulation of the theory in view of the nonuniform fields accompanying processes, and also from the paradoxes which arise in a casual adaption of the theoretical framework to the description of state for inelastic behavior such as plasticity, creep, and relaxation. The discussion is in terms of the classical theory of irreversible processes. Basic concepts and results are compared with the more recent nonlinear field theory, employing memory functional representations. Finally, the role of internal variables is examined in bringing inelastic behavior within the framework of the classical theory. One noteworthy result, for a wide class of rate dependent materials, is the existence of a potential function of stress, at each set of internal variables, from which the inelastic strain rate may be derived. (Author)
Descriptors : (*STRAIN(MECHANICS), THERMODYNAMICS), IRREVERSIBLE PROCESSES, PLASTIC PROPERTIES, VISCOELASTICITY, ELASTIC PROPERTIES, CREEP, RELAXATION TIME, STRESSES, STRAIN(MECHANICS), FUNCTIONS(MATHEMATICS), FIELD THEORY, CONTINUUM MECHANICS, ENTROPY, TEMPERATURE, EQUILIBRIUM(PHYSIOLOGY), EQUATIONS OF STATE
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE