Modeling of plate structures for galerkin meshfree methods (1st report: Modeling and linear analysis)

Abstract

This paper presents meshfree modeling of plate structures and the linear elastic analysis. The plate deformation is formulated by Mindlin-Reissener theory. The discretization is carried out based on Galerkin meshfree approach. Reproducing kernel approximation is chosen as the basis functions. Although the plate formulation and the discretization have some advantages to analyze structural problems, there are difficulties to model plate structures such as stiffened plate structures. A special treatment is needed in the connection area between plates because the meshfree approximation function does not have so-called Kronecker delta property. In this study, multiple point constraint (MPC) technique is introduced to model the thin-plate structures. Numerical examples are shown to validate the proposed approach. © 2013 The Japan Society of Mechanical Engineers.