The complex variable reproducing kernel particle method for elasto-plasticity problems

On the basis of reproducing kernel particle method (RKPM), using complex variable theory, the complex variable reproducing kernel particle method (CVRKPM) is discussed in this paper. The advantage of the CVRKPM is that the correction function of a two-dimensional problem is formed with one-dimension...

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Bibliographic Details
Published in:Science China. Physics, mechanics & astronomy Vol. 53; no. 5; pp. 954 - 965
Main Authors: Chen, Li, Cheng, YuMin
Format: Journal Article
Language:English
Published: Heidelberg SP Science China Press 01.05.2010
Springer Nature B.V
Subjects:
Astronomy
Basis functions
Boundary conditions
Classical and Continuum Physics
Complex variables
Elastoplasticity
Kernels
Newton-Raphson method
Observations and Techniques
Particle methods (mathematics)
Physics
Physics and Astronomy
Plasticity
Research Paper
Shape functions
meshless method
complex variable reproducing kernel particle method (CVRKPM)
reproducing kernel particle method (RKPM)
elasto-plasticity
correction function
ISSN:1674-7348, 1862-2844, 1869-1927
Online Access:Get full text
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Summary:On the basis of reproducing kernel particle method (RKPM), using complex variable theory, the complex variable reproducing kernel particle method (CVRKPM) is discussed in this paper. The advantage of the CVRKPM is that the correction function of a two-dimensional problem is formed with one-dimensional basis function when the shape function is formed. Then the CVRKPM is applied to solve two-dimensional elasto-plasticity problems. The Galerkin weak form is employed to obtain the discretized system equation, the penalty method is used to apply the essential boundary conditions. And then, the CVRKPM for two-dimensional elasto-plasticity problems is formed, the corresponding formulae are obtained, and the Newton-Raphson method is used in the numerical implementation. Three numerical examples are given to show that this method in this paper is effective for elasto-plasticity analysis.
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ISSN:1674-7348
1862-2844
1869-1927
DOI:10.1007/s11433-010-0186-y