| 裘沙沙,段庆林,邵玉龙,姚伟岸.弹塑性体脆断相场模型的一致性无单元伽辽金法[J].计算力学学报,2023,40(1):60~65 |
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| 弹塑性体脆断相场模型的一致性无单元伽辽金法 |
| Consistent element-free Galerkin method for phase-field model of brittle fracture in elasto-plastic solids |
| 投稿时间：2020-01-01 修订日期：2022-10-26 |
| DOI：10.7511/jslx20200101001 |
| 中文关键词: 相场 无网格/无单元 断裂 弹塑性 数值模拟 |
| 英文关键词:phase field meshfree/element-free facture elastoplasticity numerical simulation |
| 基金项目:中央高校基本科研业务费专项资金（DUT21GF304）；大连理工大学中白学院国际合作基金（ICR2203）；科学挑战专题（TZ2018002）；国家自然科学基金面上项目（11672062）. |
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| 中文摘要: |
| 采用无单元伽辽金法（EFG）对弹塑性体脆性断裂的相场模型进行了数值实现。利用无单元法便于构建高阶近似函数的优势，位移和相场均采用二阶移动最小二乘（MLS）近似。刚度阵的数值积分采用更为高效的二阶一致三点积分格式QC3（Quadratically Consistent 3-point integration scheme）。本构算法采用Newton-Raphson迭代和弹塑性一致性切线模量。数值结果表明了本文方法模拟弹塑性体脆性断裂的有效性。 |
| 英文摘要: |
| 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. |
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