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Sensitivity upon the constitutive relations in materials with memory
Authors:R M Colombo  P Gwiazda
Institution:(1) Department of Mathematics, Brescia University, Via Valotti 9, 25133 Brescia, Italy;(2) Institute of Applied Mathematics, Warsaw University, Banacha 2, 00-913 Warsaw, Poland
Abstract:Consider a semigroup describing the evolution of deformations of an inelastic body. This work investigates the sensitivity of this semigroup with respect to variations of the inelastic constitutive relations, and contains a full well posedness (Lipschitz) result. Particularly relevant is the case of material constants determined experimentally.Received: 24 June 2004, Accepted: 13 November 2004, Published online: 4 March 2005PACS: 74D10 Correspondence to: R.M. Colombo
Keywords:materials with memory  constitutive relations  semigroup stability
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