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Multi-dimensional moving least squares method applied to 3D elasticity problems
Sakihara, K.,Matsubara, H.,Edo, T.A.,Yagawa, G. IPC Science and Technology Press ; Elsevier Scienc 2013 Engineering structures Vol.47 No.-
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.