COMPUTATION OF MOMENTS IN ORTHOTROPIC THICK PLATES BY THE BOUNDARY ELEMENT METHOD

Reis, A.; Albuquerque, E. L.; Santana, A. P.; Useche, J. F.;

This paper presents a boundary element formulation for the computation of moments at internal points of laminated composite thick plates. Fundamental solutions for orthotropic thick plates are obtained using Hörmander operator and Radon transform. So, they do not have a closed form and numerical integration is necessary to compute fundamental solutions in each field point. Integral equations for moments are developed and all derivatives of the fundamental solution are computed. A special integration technique is used in order to improve performance of the method. The obtained results are in good agreement with literature.

Palavras-chave: Orthotropic thick plates, boundary element method, Radon transform, numerical integration.,

Palavras-chave:

DOI: 10.5151/meceng-wccm2012-18735

Referências bibliográficas
• [1] Weeën, F.V., Other B.B., ”Application of the boundary integral equation method to Reissner’s plate model”. Journal. Num. Meth. Eng. v.18, n.1, 1-10, 1982.
• [2] Long, S.Y., Brebbia, C.A., Telles, J.C.F., ”Boundary element bending analysis of moderately thick plates”. Comp. Mech. Publications v.5, n.8, 64-74, 1988.
• [3] Karam, V.J., Telles, J.C.F., ”On boundary elements for Reissner’s plate theory”. Eng. Analysis v.5, n.1, 21-27, 1988.
• [4] Ribeiro, G.O., ”Sobe a formulao do mtodo dos elementos de contorno para a flexo de placas usando as hipteses de Reissner.”. Escola de Engenharia de So Carlos, Universidade de So Paulo - USP, Tese (Doutorado) p.266, 1992.
• [5] Hörmander, H., ”Linear partial differential operators”. Berlin: Springer Verlag, 1963.
• [6] Abramowitz, M., Stegun, I.A., ”Handbook of mathematical functions”. New York: Dover Publications, 1965.
• [7] De Barcellos, C.S., Silva, L.H.M., ”A boundary element formulation for the Mindlin’s plate model”. Boundary Element Tecniques: Applications in Stress Analysis and Heat Transfer, Southampton, 198
• [8] Wang J., Huang M., ”Boundary element method for orthotropic thick plates”.Acta Mechanica Sinica 7, 258-266, 1991.
• [9] Sanches, L.C.F., ”Uma resoluo de placas com a teoria de Mindlin atravs do mtodo dos elementos de contorno”.Faculdade de Engenharia Civil, Universidade de Campinas, Dissertao (Mestrado) p.207, 1998.
• [11] Sladek J., Sladek V., Zhang Ch., Krivacek J. andWen P.H., ”Analysis of orthotropic thick plates by meshless local Petrov-Galerkin (MLPG) method”. Int. J. Numer. Meth. Engn. 67, 1830-1850, 2006.
• [12] Gao, X. ”The radial integration method for evaluation of domain integrals with boundary only discretization”. Engineering Analysis with Boundary Elements, 26, 905–916, 2002.
• [13] Rashed Y.F., ”Boundary method formulations for thick plates”.Topics in Engineering, W.I.T. V.35, Publications Inc., 1999.
Como citar:

Reis, A.; Albuquerque, E. L.; Santana, A. P.; Useche, J. F.; "COMPUTATION OF MOMENTS IN ORTHOTROPIC THICK PLATES BY THE BOUNDARY ELEMENT METHOD", p. 2152-2158 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18735

últimos 30 dias | último ano | desde a publicação