ANALYSIS OF A CLASS RIGID-PLASTIC ROLLING PROBLEMS BY A MODIFIED SECANT-MODULUS METHODS

Abstract

For a class of steady-state rolling problems, with rigid-plastic, slightly compressible, strain-rate-dependent material model and with unilateral contact and nonlocal Coulomb's friction, variational inequality formulations are derived. A modification of the secant-modulus method is proposed, its convergence is proved and existence and uniqueness results are obtained. An algorithm, combining the finite element and the modified secant-modulus method, is proposed and an illustrative rolling problem is solved.