meshfree method

A meshfree TSDT-based approach for modeling a skew plate

Taking into account new frontiers in materials technology to improve construction materials, we investigate the bending analysis of a Functionally Graded Material (FGM) skew plate using a meshless approach based on Third-order Shear Deformation Theory (TSDT).  We assume that the material distribution is functionally graded across the thickness of the skew plate.  The proposed approach uses both mixture rule theory and the meshless method.  The mixture rule theory is used to estimate the effective material properties of the skew plate.

FEM elements enriched with meshfree functions: overview and application

A specific method of coupling FEM and meshless/meshfree methods is presented. This method is based on placing meshfree nodes inside the finite element and as a result improving the overall approximation on that element. Advantages and disadvantages of such approach are explained. It is shown that such approach is a version of a more general one. Numerical experiments are presented and analyzed.