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S17 O Método dos Elementos de Contorno em Engenharia |
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Title:
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IMPLICT AND EXPLICIT ELASTOPLASTIC BEM FORMULATIONS APPLIED TO LOCALIZATION
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Summary :
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ABSTRACT. IN THIS PAPER AN IMPLICIT BEM FORMULATION IS PROPOSED TO ANALYSE ELASTOPLASTIC TWO-DIMENSIONAL BODIES. THE PROPOSED ALGORITHMS ARE FORMULATED AS USUAL BY ASSUMING AN INITIAL STRESS OR STRAIN FIELD APPLIED OVER THE DOMAIN AREA WHERE PLASTIC STRAINS TAKE PLACE. THE INITIAL STRESS INTEGRALS ARE APPROXIMATED OVER TRIANGULAR AND QUADRANGULAR CELLS. INTEGRAL REPRESENTATIONS ARE TAKEN TO REPRESENT THE STRESS AND STRAIN FIELD AT INTERNAL POINTS AS WELL AS ALONG THE BOUNDARY. AN APPROPRIATE SCHEME TO ACHIEVE THE ALGORITHMIC TANGENT MATRIX IS USED TOGETHER WITH THE PROPOSED IMPLICIT SCHEME. NUMERICAL ANALYSES ARE PERFORMED TO SHOW THE ACCURACY OF THE RESULTS, ALSO EMPHASISING THE DIFFERENCES BETWEEN THE ANALYSED SCHEMES. CLASSICAL ELASTOPLASTIC EXAMPLES ARE ANALYSED TO SHOW THE MESH DEPENDENCY OF THE ELASTOPLASTIC LOCAL MODEL AND THE CONCENTRATION OF THE PLASTIC STRAIN ALONG NARROW BANDS GIVEN BY THE CELL SIZES DEFINED BY THE DISCRETIZATION. THE NUMERICAL EXAMPLES CONFIRM THE NECESSITY OF ADOPTING OTHER CONDITIONS TO GUARANTEE THE RESULTS INDEPENDENT OF THE CHOSEN MESH. |
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Author :
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Benallal, Ahmed 0
Fudoli, Carlos A.
Venturini, Wilson S.
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Paper View :
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