A Fading-Memory Theorem for Materials with Internal Variables.
CALIFORNIA UNIV BERKELEY STRUCTURAL ENGINEERING LAB
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It is shown that a material whose thermodynamical state is described by internal variables alpha sub i which are governed by equations of evolution of the form alpha dot sub i f sub i u sub j, alpha sub k, where the u sub j represent the external variables deformation, temperature, temperature gradient possesses the property of fading memory as postulated by Coleman if the f sub i are differentiable and if the matrix of their partial derivatives with respect to the alpha sub k is negative definite. Author