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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| Published in: | Science China. Physics, mechanics & astronomy Vol. 53; no. 5; pp. 954 - 965 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Heidelberg
SP Science China Press
01.05.2010
Springer Nature B.V |
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| ISSN: | 1674-7348, 1862-2844, 1869-1927 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Chen, Li Cheng, YuMin |
| Author_xml | – sequence: 1 givenname: Li surname: Chen fullname: Chen, Li organization: Department of Engineering Mechanics, Chang’an University – sequence: 2 givenname: YuMin surname: Cheng fullname: Cheng, YuMin email: ymcheng@sh163.net organization: Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University |
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| Cites_doi | 10.1002/fld.1650200824 10.1016/S0020-7683(97)00363-6 10.1016/j.tafmec.2003.11.024 10.1016/S0045-7825(96)01085-7 10.1002/nme.1620370205 10.1007/s004660050346 10.1002/nme.798 10.1115/1.1431547 10.1002/nme.1384 10.1007/s004660050297 10.1002/fld.1650211010 10.1002/(SICI)1097-0207(20000228)47:6<1083::AID-NME816>3.0.CO;2-N 10.1360/142004-25 10.1002/(SICI)1097-0207(19961130)39:22<3839::AID-NME27>3.0.CO;2-R 10.1007/s11433-004-0027-y 10.1016/S0045-7825(96)01078-X 10.7498/aps.55.4760 10.7498/aps.57.1 10.7498/aps.54.4463 10.7498/aps.55.3215 10.7498/aps.56.5569 10.7498/aps.56.597 |
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| Keywords | meshless method complex variable reproducing kernel particle method (CVRKPM) reproducing kernel particle method (RKPM) elasto-plasticity correction function |
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| Snippet | On the basis of reproducing kernel particle method (RKPM), using complex variable theory, the complex variable reproducing kernel particle method (CVRKPM) is... |
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| SubjectTerms | 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 |
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| Title | The complex variable reproducing kernel particle method for elasto-plasticity problems |
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