A NUMERICAL INCREMENTAL PROCEDURE FOR SOLVING NON-LINEAR ELASTOPLASTIC FRICTIONAL CONTACT PROBLEMS UNDER NORMAL LOAD

Waleed S. Abdalla, Soliman S. Ali-Eldin, Mohamed R. Ghazy

Abstract


This paper presents an adaptive incremental approach capable of handling elastoplastic contact problems with friction. Using the finite element method (FEM), the problem is formulated as an incremental convex programming model (ICPM) under the inequality contact constraints and friction conditions. The Lagrange multiplier approach is adopted for imposing the contact constraints. The classical Coulomb's law of friction is used for simulating the friction conditions throughout the contact interface. The incremental constitutive relations based on the Prandtl-Reuss equations and von Mises yield criterion are adopted to simulate the elastoplastic response. The adopted model advantage is that the model gets rid of the inclusion of any artificial element or intervene user defined parameters such as penalty values and the number of load steps. Numerical examples for the frictional contact having advancing and receding nature under normal load are presented. Illustrated examples prove the capability of the incremental procedure to investigate the sequence of different events during monotonic application of external load. Variations of the contact pressure, relative tangential displacement (RTD), tangential stress over the contact area and equivalent stress within the domain with the coefficient of friction are presented to validate the model. Good agreement has been found with published results.

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