Multi-dimensional moving least squares method applied to 3D elasticity problems

The aim of this study is to apply the “Multi-dimensional Moving Least Square method with Constraint condition (C-MultiMLS)” to the 3D elasticity problems in a weak form. We define the rotations, strains, and curvatures by using the C-MultiMLS, the degrees of freedom (DOFs) that should be finally solved in the simultaneous linear equation contain only displacement DOFs. This method is suitable also for the large-scale simulations. In this study, the accuracy of the proposed method in solving 3D elastic bodies is demonstrated in the solution of some numerical examples.