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Modelling and solvability of a rigid-plastic rolling problem

Institute of Mechanics

^* To whom correspondence should be addressed. E-mail: taa{at}imbm.bas.bg.

	Abstract

A steady-state rolling problem with rigid–plastic, incompressible material model and with contact frictionless and friction boundary conditions is considered and studied. Existence and uniqueness of the solution of the corresponding penalty variational problem and its convergence to the solution of the primal variational problem is briefly presented. A regularization and the finite element approximation of the penalty problem are given and analysed. A convergent algorithm, combining the finite element method with the iterative secant-modulus method, is proposed and applied to solve an example problem and the obtained numerical results are illustrated.

First published on June 11, 2009
Mathematics and Mechanics of Solids 2009, doi:10.1177/1081286509105148


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