NUMERICAL MODELING OF CONTACT PROBLEMS WITH THE FINITE ELEMENT METHOD UTILIZING A B-SPLINE SURFACE FOR CONTACT SURFACE SMOOTHING

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DANIEL BARBEDO VASCONCELOS SANTOS
ALEX ALVES BANDEIRA

Abstract

THE BASIC AIM OF THIS WORK IS TO PRESENT A METHOD TO TREAT STRUCTURAL MECHANICS PROBLEMS DEALING WITH TRIDIMENSIONAL CONTACT AND LARGE ELASTIC DEFORMATIONS. THE FORMULATION PRESENTED IN THIS ARTICLE OFFERS A B-SPLINE BASED DISCRETIZATION FOR THE CONTACT SURFACE, WHICH SOLVES THE CONTINUITY PROBLEMS PRESENTED BY THE CLASSIC LAGRANGIAN CONTACT ELEMENT FORMULATION. A B-SPLINE SURFACE IS UTILIZED TO DISCRETIZE THE CONTACT SURFACE, AND THE B-SPLINE BASIS FUNCTIONS ARE USED TO DISTRIBUTE THE CONTACT FORCES BETWEEN THE CONTACT SURFACES NODES. THE FINITE ELEMENT UTILIZED IS AN 8-NODE HEXAHEDRON, AND THE FORMULATION IS CONTINUUM MECHANICS BASED, WRITTEN IN THE CURRENT CONFIGURATION, UTILIZING A NEO-HOOKEAN MATERIAL MODEL. THE CONTACT RESTRICTIONS ARE ENFORCED BY THE AUGMENTED LAGRANGIAN METHOD.


KEY-WORDS: CONTACT MECHANICS, B-SPLINE, SURFACE SMOOTHING, AUGMENTED LAGRANGIAN METHOD, FRICTION.

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