Boundary element formulations for thick plates
This book presents Boundary Element formulations for plate bending problems in which the Reissner plate bending theory is used to model the bending behaviour of the plate. The author applies several integral equations to solve engineering problems relating to a building slab, beam, footing, and simple raft and the results are compared against analytical solutions such as a finite difference method, a finite element method and a three-dimensional BEM.
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Theory of Plates
The Boundary Element Method
7 other sections not shown
Aliabadi analytical solutions applied boundary conditions boundary element formulation boundary element method boundary integral equation boundary stress resultants C.A. Brebbia Cauchy principal value chapter collocation point comparison computed considered constant deflection denotes discretisation divergence theorem domain integrals elastic foundations Engineering Analysis equivalent boundary integrals evaluated Exact DBIE TBIE example following form foundation plates free edge plate fundamental solution Gauss pts hypersingular integral equations indicial notation internal point jump term kernels matrix mesh Methods Engineering numerical Pasternak foundation model plate model plate thickness plates on elastic Poisson's ratio present formulation quadratic elements Rashed Reissner plate theory relationships in equation resting on elastic shear deformable plate shear factor shear force shear stresses shown in Figure singular term square plate strain energy strongly singular Structures Taylor series Taylor series expansion thin plate theory transformation uniform load Vander Weeen 47 weakly singular Winkler foundation model written as follows