Modeling of plate structures for Galerkin meshfree methods (2nd report: Geometrical non-linear analysis)

Abstract

In 1st report, the authors presented Galerkin-based meshfree modeling for folded plate structures. A flat shell formulation was developed including drilling rotation components, and multiple point constraint technique was introduced to model the folded plate structures. Effectiveness of the meshfree modeling and accuracy of the linear analysis were discussed. In 2nd report, the geometrical non-linear analysis is presented. The non-linear problems are solved employing total Lagrange formulation based on convected coordinate system. The drilling rotation is included in the meshfree discretization. In the numerical example, several geometrical non-linear analyses are analyzed to validate the proposed method.