A frictionless contact problem for elastic-viscoplastic materials with internal state variables
نویسندگان
چکیده
منابع مشابه
Numerical Analysis of a Frictionless Contact Problem for Elastic-Viscoplastic Materials
We consider a mathematical model which describes the unilateral quasistatic contact of two elastic-viscoplastic bodies. The contact is without friction and it is modeled by the classical Signorini boundary conditions. The model consists of an evolution equation coupled with a time-dependent variational inequality. It has been shown that the variational problem of the model has a unique solution...
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We consider a mathematical model which describes the contact between a deformable body and an obstacle, the so-called foundation. The body is assumed to have a viscoelastic behavior that we model with the KelvinVoigt constitutive law. The contact is frictionless and is modeled with the well-known Signorini condition in a form with a zero gap function. We present two alternative yet equivalent w...
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Micro-macro schemes contain two important steps. First, the localization process must link the fields inside the inclusion to those applied in the infinite matrix. Secondly, an averaging process is used to derive the macroscopic behavior. For elastic viscoplastic materials, there is no exact solution for the first step. In this work, we adopt the interaction law proposed in [2]. By comparison w...
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We consider two mathematical models which describe the contact between an elastic-visco-plastic body and an obstacle, the so-called foundation. In both models the contact is frictionless and the process is assumed to be dynamic. In the first model the contact is described with a normal compliance condition and, in the second one, is described with a normal damped response condition. We derive a...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1997
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(97)00238-0