
Accession Number : AD0278543
Title : ON RECOVERABLE INTERNAL ENERGY IN LINEAR VISCOELASTICITY
Corporate Author : BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
Personal Author(s) : BREUER, S ; ONAT, E T
PDF Url : AD0278543
Report Date : Jul 1962
Pagination or Media Count : 33
Abstract : A linear viscoelastic solid is subjected to a given deformation history. A portion of the work done by the stresses during this deformation is converted into heat, while the remaining portion increases the internal energy (per unit volume) of the solid. A fraction of the increase in internal energy can be recovered by subjecting the solid to a appropriate future deformation. The paper is concerned with the question of maximizing the recoverable energy by means of an optimum future deformation. It is shown that the determination of the optimum deformation requires the solution of an integral equation of the WienerHopf type. This equation is solved in the case where the relaxation modulus is given as a sum of exponential functions. The maximum recoverable internal energy is then expressed as a functional of second degree of the given deformation history. It is observed that the maximum r coverable energy provides a lower bound to the internal energy of the solid. It is hoped that use could be made of the concept of maximum recoverable energy in studies concerned with t e thermodynamics of linear viscoelasticity.
Descriptors : *ENERGY, HEAT TRANSFER, INTEGRAL EQUATIONS, RELAXATION TIME, SOLIDS, STRESSES
Subject Categories : Nonelectrical Energy Conversion
Distribution Statement : APPROVED FOR PUBLIC RELEASE