A spline strip kernel particle method and its application to two‐dimensional elasticity problems

Abstract

SUMMARYIn this paper we present a novel spline strip kernel particle method (SSKPM) that has been developed for solving a class of two-dimensional (2D) elasticity problems. This new approach combines the concepts of the mesh-free methods and the spline strip method. For the interpolation of the assumed displacement ÿeld, we employed the kernel particle shape functions in the transverse direction, and the B 3 -spline function in the longitudinal direction. The formulation is validated on several beam and semi-inÿnite plate problems. The numerical results of these test problems are then compared with the existing solutions obtained by the exact or numerical methods. From this study we conclude that the SSKPM is a potential alternative to the classical ÿnite strip method (FSM).

Analysis of rectangular stiffened plates under uniform lateral load based on FSDT and element-free Galerkin method

“…The results show good agreement with existing analytical and finite element solutions. It should be noted that the present formulation is also applicable to other mesh-free methods [18][19][20][21][22][23][24][25] for studying the stiffened plate problem. …”

The improved element-free Galerkin method for three-dimensional wave equation

“…Moreover, it is difficult to obtain the correct numerical solution. Using the weighted orthogonal basis functions, we present the IMLS approximation [22][23][24][25][26].…”

Analysis of stiffened corrugated plates based on the FSDT via the mesh-free method

“…(26)- (29)) and the configuration of trapezoidally corrugated plates, a series of simply supported trapezoidally corrugated plates (their equivalent plates are square plates) are studied. The central deflections that are given by the proposed method and ANSYS are listed in Tables 1 and 2 of corrugations.…”