NDLI: Global interpolating MLS shape functions for structural problems with discrete nodal essential boundary conditions

Content Provider	Springer Nature Link
Author	Valencia, Ó. F. Garijo, D. Gómez Escalonilla, F. J.
Copyright Year	2015
Abstract	The moving least squares (MLS)-based element-free Galerkin method (EFGM) has been widely studied, yielding valuable results and becoming a robust mesh-free technique for structural analysis. Due to the non-interpolating nature of MLS shape functions, the EFGM procedure leads to stiffness and mass matrices based on nodal parameters instead of true nodal displacements. The interpolating moving least squares (IMLS) methods with singular weight functions or the weighted nodal least squares (WNLS) methods were proposed in order to arrange the formulation in terms of actual displacements at the nodes. In this work, a later transformation matrix to retrieve the classic stiffness and mass matrices is discussed and numerically tested in problems with discrete prescribed displacements at boundaries, for which a straightforward finite element method (FEM)-type imposition of boundary conditions is possible.
Ending Page	2276
Page Count	22
Starting Page	2255
File Format	PDF
ISSN	00015970
e-ISSN	16196937
Journal	Acta Mechanica
Issue Number	7
Volume Number	226
Language	English
Publisher	Springer Vienna
Publisher Date	2015-02-12
Publisher Place	Vienna
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Vibration, Dynamical Systems, Control Boundary value problems for second-order elliptic equations Engineering Thermodynamics, Heat and Mass Transfer Theoretical and Applied Mechanics Other numerical methods Continuum Mechanics and Mechanics of Materials Structural Mechanics Classical Continuum Physics
Content Type	Text
Resource Type	Article
Subject	Mechanical Engineering Computational Mechanics

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