منابع مشابه
A Frictionless Contact Problem for Viscoelastic Materials
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...
متن کاملA Frictionless Contact Algorithm for Deformable Bodies
This article is devoted to the presentation of a new contact algorithm for bodies undergoing finite deformations. We only address the kinematic aspect of the contact problem, that is the numerical treatment of the non-intersection constraint. In consequence, mechanical aspects like friction, adhesion or wear are not investigated and we restrict our analysis to the simplest frictionless case. On...
متن کاملAn Efficient Numerical Algorithm for Cracks Partly in Frictionless Contact
An algorithm for a loaded crack partly in frictionless contact is presented. The problem is nonlinear in the sense that the equations of linear elasticity are supplemented by certain contact inequalities. The location of a priori unknown contact zones and the solutions to the field equations must be determined simultaneously. The algorithm is based on a rapidly converging sequence of relaxed Fr...
متن کاملEnergy Balance for Viscoelastic Bodies in Frictionless Contact
In this paper it is shown that the change in the energy for a linearly viscoelastic body (with Kelvin–Voigt type viscosity) in frictionless contact with a rigid obstacle can be accounted for by viscous losses and the work done by external forces. Thus there is no change in the energy due to impacts, unlike the case of rigid-body dynamics. The result can be extended to a wide class of dynamic vi...
متن کاملDynamic Frictionless Contact Problems with Linearly Elastic Bodies
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2016
ISSN: 0045-7825
DOI: 10.1016/j.cma.2015.11.006