SLIDING FRAME-SOLID INTERACTION USING BEM/FEM COUPLING

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FABIO CARLOS DA ROCHA
WILSON SERGIO VENTURINI
HUMBERTO BREVES CODA

Abstract

IN THIS WORK IT IS PRESENTED A COUPLING BETWEEN THE BOUNDARY ELEMENT METHOD (BEM) AND THE FINITE ELEMENT METHOD (FEM) FOR TWO-DIMENSIONAL ELASTOSTATIC ANALYSIS OF FRAME-SOLID INTERACTION. THE BEM IS USED TO MODEL THE MATRIX WHILE THE REINFORCEMENT IS MODELED BY THE FEM. REGARDING THE COUPLING FORMULATION A THIRD DEGREE POLYNOMIAL IS ADOPTED TO DESCRIBE THE DISPLACEMENT AND ROTATIONS OF THE REINFORCEMENT, WHILE A LINEAR POLYNOMIAL IS USED TO DESCRIBE THE CONTACT FORCE AMONG THE DOMAIN (MATRIX) AND THE REINFORCEMENT. PERFECT BOUNDING CONTACT FORCES ARE IMPROVED BY MEANS OF REDUNDANT EQUATIONS AND LEAST SQUARES METHOD. SLIP-BOUNDING WITH TWO AND THREE PATHS WRITTEN AS FUNCTION OF RELATIVE DISPLACEMENT ARE USED TO CALCULATE THE TRANSMITTED CONTACT FORCES. EXAMPLES ARE USED TO DEMONSTRATE THAT THE PROPOSED SLIP-BOUNDING PROCEDURE REGULARIZES THE CONTACT FORCE BEHAVIOR

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Author Biographies

FABIO CARLOS DA ROCHA, University of São Paulo, School of Engineering of São Carlos

Department of Structural Engineering

WILSON SERGIO VENTURINI, University of São Paulo, School of Engineering of São Carlos

Department of Structural Engineering

HUMBERTO BREVES CODA, University of São Paulo, School of Engineering of São Carlos

Department of Structural Engineering