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A meshless approach to analysis of arbitrary Kirchhoff plates by the local boundary integralequation(LBIE)method is presented.The method combines the advantageous features of all the three meth-ods:the Galerkin finite element method(GFEM),the boundary element method(BEM)and the element-free Galerkin method(EFGM).It is a truly meshless method,which means that the discretization is inde-pendent of geometric subdivision into elements or cells,but is only based on a set of nodes(ordered or scat-tered)over a domain in question.It involves only boundary integration,however,over a local boundary cen-tered at the node in question; It poses no difficulties in satisfying the essential boundary conditions whileleading to banded and sparse system matrices using the moving least square(MLS)approximations.It isshown that high accuracy can be achieved for arbitrary geometries for clamped and simply-supported edgeconditions.The method is found to be simple,efficient,and attractive.
A meshless approach to analysis of arbitrary Kirchhoff plates by the local boundary integralequation (LBIE) method is presented. The method combines the advantageous features of all the three meth-ods: the Galerkin finite element method (GFEM), the boundary element method (BEM ) and the element-free Galerkin method (EFGM) .It is an truly meshless method, which means that the discretization is inde-pendent of geometric subdivision into elements or cells, but only based on a set of nodes (ordered or scat- tered) over a domain in question .It involves only boundary integration, however, over a local boundary cen-tered at the node in question; It poses no difficulties in satisfying the essential boundary conditions whileading to banded and sparse system matrices using the moving least square (MLS) approximations.It isshown that high accuracy can be achieved for arbitrary geometries for clamped and simply-supported edge conditions. The method is found to be simple, efficient, and attractive.