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Multi-dimensional moving least squares method applied to 3D elasticity problems
Highlights ► The method for applying the C-MultiMLS method to 3D elastic problems is proposed. ► In proposed method, the rotations, strains and curvatures at a particle are determined. ► Some high accurate results in elastic bodies with a small number of DOFs are obtained.
Abstract 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.
Multi-dimensional moving least squares method applied to 3D elasticity problems
Highlights ► The method for applying the C-MultiMLS method to 3D elastic problems is proposed. ► In proposed method, the rotations, strains and curvatures at a particle are determined. ► Some high accurate results in elastic bodies with a small number of DOFs are obtained.
Abstract 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.
Multi-dimensional moving least squares method applied to 3D elasticity problems
Sakihara, Kohei (Autor:in) / Matsubara, Hitoshi (Autor:in) / Edo, Taka-Aki (Autor:in) / Yagawa, Genki (Autor:in)
Engineering Structures ; 47 ; 45-53
01.01.2012
9 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Multi-dimensional moving least squares method applied to 3D elasticity problems
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