| 傅兴安,李建波,林皋.基于X-SBFEM的非线性断裂数值模型研究[J].,2017,57(5):494-500 |
| 基于X-SBFEM的非线性断裂数值模型研究 |
| Study of numerical model of nonlinear fracture based on X-SBFEM |
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| DOI：10.7511/dllgxb201705009 |
| 中文关键词: 扩展比例边界有限元法 应力强度因子 黏聚力 side-face力 裂纹过程区 |
| 英文关键词: extended scaled boundary finite element method (X-SBFEM) stress intensity factor cohesive traction side-face traction fracture process zone (FPZ) |
| 基金项目:国家重点研发计划资助项目(2016YFB0201000)；国家自然科学基金资助项目(51779222)；国家自然科学基金委创新研究群体项目(51421064)；中央高校基本科研业务费专项资金资助项目(DUT17LK16). |
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| 中文摘要: |
| 从非线性断裂力学模型的角度，开展准脆性材料(混凝土)裂纹过程区的有效模拟，是当前的研究热点之一．扩展比例边界有限元法(X-SBFEM)兼有扩展有限元法(XFEM)和比例边界有限元法(SBFEM)两种方法的优势，利用SBFEM求解裂尖段应力奇异性问题，利用XFEM模拟非裂尖段位移场不连续．为在X-SBFEM中增加非线性断裂模型，提出采用side-face力的形式，基于黏聚力模型，通过线性叠加迭代法来模拟准脆性材料(混凝土)裂纹过程区．最后，以数值算例——单边缺口的三点弯曲梁和四点剪切梁——模拟裂纹过程区能量耗散影响，验证了所提方法的精度与应用效果． |
| 英文摘要: |
| The effective simulation of the fracture process zone (FPZ) of quasi-brittle material (concrete) by using nonlinear fracture mechanics model is one of the hot spots in the current research. Extended scaled boundary finite element method (X-SBFEM) has advantages of both extended finite element method (XFEM) and scaled boundary finite element method (SBFEM), making full use of XFEM to describe discontinuous displacement field in non-crack-tip area and SBFEM to precisely solve stress singular problems in the crack-tip area. For the application of nonlinear fracture models in X-SBFEM, based on the model of the cohesive traction, the FPZ of the quasi-brittle material (concrete) is simulated using the iterative method of linear superposition by the form of side-face traction. Finally, numerical examples of the three-point single notched bending beam and the four-point single notched shear beam are used to simulate the energy dissipation effect in the FPZ, which verify the accuracy and application effect of the proposed method. |
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