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| An element-free Galerkin scaled boundary method for anti-plane crack problem |
| Received:December 29, 2015 Revised:March 19, 2016 |
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| DOI：10.7511/jslx201701007 |
| KeyWord:anti-plane crack problem element-free Galerkin scaled boundary method moving least squares approximation stress intensity factor semi-analytical |
| Author | Institution |
| 陈莘莘 |
华东交通大学 土木建筑学院, 南昌 |
| 王娟 |
华东交通大学 土木建筑学院, 南昌 |
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| Abstract: |
| Through incorporation of the element free Galerkin method into the scaled boundary method,an element-free Galerkin scaled boundary method (EFG-SBM) is developed for anti-plane fracture analysis.This is a boundary-type meshless method,in which the element-free Galerkin method is adopted for performing the circumferential discretization and therefore only nodes on the boundary are required.In addition,no fundamental solution is required in contrast with the boundary element method.In order to simplify the enforcement of the essential boundary conditions,the modified moving least squares shape functions are derived through the establishment of the relationship between the nodal values and the fictitious nodal values.In the radial direction,the solution is analytical so that this method is a semi-analytical numerical method.At last,numerical examples are presented to demonstrate that utilizing the proposed method to solve anti-plane crack problem has the advantages of simple postprocessing and higher accuracy. |