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S17 O Método dos Elementos de Contorno em Engenharia |
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Titulo:
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A HIPERSYNGULAR FORMULATION OF THE BEM TO THE THREE-DIMENSIONAL POTENTIAL PROBLEMS
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Resumo :
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ABSTRACT. A DIRECT BOUNDARY ELEMENT HYPERSINGULAR FORMULATION FOR THREE-DIMENSIONAL POTENTIALS PROBLEMS IS PRESENTED; THIS WORK EXTEND TWO-DIMENSIONAL FORMULATION PRESENTED BY MANSUR ET. AL. (1997). THE THREE-DIMENSIONAL FORMULATION ALSO DOES NOT REQUIRE COMPLEX ALGORITHMS TO EVALUATE THE FREE TERMS, WHEN COLLOCATION POINTS ARE LOCATED WITHIN BOUNDARY ELEMENTS. THE COMPUTATIONAL IMPLEMENTATION FOLLOWS THE SAME STRUCTURE USED FOR THE CLASSIC FORMULATION OF THE BEM. THE NUMERICAL MODEL CONSIDERS ISOPARAMETRIC TRIANGULAR AND QUADRILATERAL, LINEAR AND QUADRATIC ELEMENTS. CAUCHY PRINCIPAL VALUE (CPV) WERE COMPUTED USING TAYLOR S EXPANSION AS FINITE PART (FP) OF INTEGRALS. SEVERAL EXAMPLES ARE PRESENTED AND THE RESULTS OBTAINED HAVE BEEN COMPARED WITH CLASSICAL FORMULATIONS RESULTS, SHOWING THE CONVERGENCE OF THE HYPERSINGULAR APPROACH IN DOMAIN CONTAINING SIMPLY CONNECTED DOMAINS.
KEY WORDS: HYPERSINGULAR FORMULATION OF THE BEM, FINITE PART, CAUCHY PRINCIPAL VALUE |
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Autores :
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Azevedo, José Paulo S.
Huacasi, Wilma D.
Mansur, Webe J.
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Trabalho Completo :
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