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| Consistent element-free Galerkin method for phase-field model of brittle fracture in elasto-plastic solids |
| Received:January 01, 2020 Revised:October 26, 2022 |
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| DOI：10.7511/jslx20200101001 |
| KeyWord:phase field meshfree/element-free facture elastoplasticity numerical simulation |
| Author | Institution |
| 裘沙沙 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 段庆林 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 邵玉龙 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 姚伟岸 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| This work presents the numerical implementation of the phase-field model of brittle fracture in elasto-plastic solids by using the Element-free Galerkin (EFG) method.Second-order moving least-squares approximation for both the displacement and the phase field is employed by taking full use of the convenience of the EFG method in constructing high-order approximation functions.The stiffness matrix is evaluated by the efficient Quadratically Consistent 3-point (QC3) integration scheme.Newton-Raphson iteration and consistent elasto-plastic modulus are employed in the constitutive algorithm.Numerical results demonstrate the validity of the presented method in modeling the brittle fracture of elasto-plastic solids. |