Article ID Journal Published Year Pages File Type
511540 Computers & Structures 2006 10 Pages PDF
Abstract

Definitions are given of the maximum and minimum free energy associated with a given state of a material with memory. Also, the concept of a minimal state is introduced. These concepts are then explored in detail for a specific isothermal model, where the stress is given by a non-linear elastic part and a memory part which is a linear functional of the strain tensor history. It is shown that the equivalence class constituting a minimal state is a singleton except where only isolated singularities occur in the Fourier transform of the relaxation tensor derivative. If the minimal state is not a singleton, then the maximum free energy is less than the work function and is a function of the minimal state. An explicit expression is given for the maximum free energy.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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