A nodal integration technique for meshfree radial point interpolation method (NI-RPIM)
نویسندگان
چکیده
منابع مشابه
A meshfree radial point interpolation method (RPIM) for three-dimensional solids
A meshfree radial point interpolation method (RPIM) is developed for stress analysis of threedimensional (3D) solids, based on the Galerkin weak form formulation using 3D meshfree shape functions constructed using radial basis functions (RBFs). As the RPIM shape functions have the Kronecker delta functions property, essential boundary conditions can be enforced as easily as in the finite elemen...
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A meshfree computational method is proposed in this paper to solve Kirchhoff plate problems of various geometries. The deflection of the thin plate is approximated by using a Hermite-type radial basis function approximation technique. The standard Galerkin method is adopted to discretize the governing partial differential equations which were derived from using the Kirchhoff’s plate theory. The...
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It has been proven by the authors that both the upper and lower bounds in energy norm of the exact solution to elasticity problems can now be obtained by using the fully compatible finite element method (FEM) and linearly conforming point interpolation method (LC-PIM). This paper examines the upper bound property of the linearly conforming radial point interpolation method (LC-RPIM), where the ...
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in the recent paper, one of the numerical methods without element, for static analysis of thin plates displacement based on classical plates theory (cpt), has been presented. in this method, the domain of problem solving is shown only by the means of a set of nodes, and there is no need to any mesh scheme or element. one of the kinds of element free methods used here is the radial point interpo...
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K e y w o r d s R P I C M , Hermite-type interpolation, Meshfree, Partial differential equations. *Author to whom all correspondence should be addressed. Current address: Department of Mechanics, Zhejiang University, Hangzhou, P.R. China, 310027. 0898-1221/05/$ see front matter @ 2005 Elsevier Ltd. All rights reserved. Typeset by .AA/p%TEX doi:10.1016/j.camwa.2005.02.019 1426 x. Liu et al. 1. I...
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ژورنال
عنوان ژورنال: International Journal of Solids and Structures
سال: 2007
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2006.10.025