ON RECOVERABLE INTERNAL ENERGY IN LINEAR VISCOELASTICITY
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 Wiener-Hopf 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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1962
- Accession Number
- AD0278543
Entities
People
- E. T. Onat
- S. Breuer
Organizations
- Brown University