COMPUTATIONAL MECHANICS New Trends and Applications S. Idelsohn, E. O˜ nate and E. Dvorkin (Eds.) c CIMNE, Barcelona, Spain 1998 A BOUNDARY ELEMENT FORMULATION FOR LINEAR AND NON-LINEAR BENDING OF PLATES R. J. Marczak 1 and C. S. de Barcellos 2 1 Department of Mechanical Engineering - Federal University of Rio Grande do Sul Rua Sarmento Leite, 425 - Porto Alegre - RS, Brazil - 90050-170 2 Department of Mechanical Engineering - Federal University of Santa Catarina P.O. Box 476 - Campus Universit´ario Trindade - Florian´ opolis - SC, Brazil - 88040-900 Key Words: Boundary elements, Mindlin-Reissner plates, plate bending, geometrically non-linear. Abstract. The direct boundary element approach is applied to moderately thick plates differential operators, including the membrane-bending coupling terms. All the integral equations for geometrically non-linear plate bending problems are then obtained includ- ing the shear deformation effects. A linearization of these equations leads to the integral equations for the linear elastic stability analysis of plates. Numerical derivatives of the transversal displacement are avoided. Instead, direct differentiation of the integral equa- tions for the transverse displacementis used leading to an hypersingular integral equation. Results are presented for linear bending using constant, linear, quadratic, cubic, and quar- tic boundary elements. Buckling problems are solved using constant boundary elements and domain cells, in order to avoid hypersingular integrals. 1
A BOUNDARY ELEMENT FORMULATION FOR LINEAR AND NONLINEAR BENDING OF PLATES
Jun 14, 2023
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