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The boundary element method (BEM) is used in this work to obtain the critical buckling parameters... more The boundary element method (BEM) is used in this work to obtain the critical buckling parameters of perforated plates. The plates have square geometry with central square hole. Compression is unidirectional and uniformly applied at opposite edges. The values for buckling parameters are obtained for many values of thickness. The shear deformation effect is included in the bending of plates using the isotropic model. The effect of geometric nonlinearity is introduced by adding two integral in the formulation of the BEM: one is applied in the domain and the other in the contour. The boundary integral can be related to one of the natural conditions according to the boundary value problem. Quadratic continuous and discontinuous boundary elements were used. The source points were positioned on the boundary. The singularity subtraction technique and the transformation of variables were used for the Cauchy and weak type of singularities, respectively, when the integration is performed in elements containing the source point. Rectangular cells were used to discretize the domain integral related to the geometric nonlinearity effect. The results were compared with other authors.
The boundary element method (BEM) is used in this work to obtain the critical buckling parameters... more The boundary element method (BEM) is used in this work to obtain the critical buckling parameters of perforated plates. The plates have square geometry with central square hole. Compression is unidirectional and uniformly applied at opposite edges. The values for buckling parameters are obtained for many values of thickness. The shear deformation effect is included in the bending of plates using the isotropic model. The effect of geometric nonlinearity is introduced by adding two integral in the formulation of the BEM: one is applied in the domain and the other in the contour. The boundary integral can be related to one of the natural conditions according to the boundary value problem. Quadratic continuous and discontinuous boundary elements were used. The source points were positioned on the boundary. The singularity subtraction technique and the transformation of variables were used for the Cauchy and weak type of singularities, respectively, when the integration is performed in elements containing the source point. Rectangular cells were used to discretize the domain integral related to the geometric nonlinearity effect. The results were compared with other authors.