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  2023, Vol. 44 Issue (3): 346-354    DOI: 10.19636/j.cnki.cjsm42-1250/o3.2022.046
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基于光滑有限元法的热-弹相场断裂研究
马玉娥1, 陈鹏程1, 郭雯1, 彭帆2
1. 西北工业大学航空学院
2. 长安大学理学院
Study on Thermo-elastic Phase Fracture Modelling Based on the Cell-based Smoothed Finite Element Method
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摘要 基于相场理论,本文构建了热力耦合作用下热-弹性材料的复杂断裂控制方程,采用光滑有限元法对该模型进行了数值离散;设计编写了相应的Matlab计算程序;开展了热-力载荷下的二维拉伸断裂模拟,将结果和有限元计算结果对比,吻合一致。同时采用该模型开展热冲击下陶瓷板的多裂纹扩展过程模拟,计算结果和实验结果吻合良好,验证了本文方法的有效性
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马玉娥 陈鹏程 郭雯 彭帆
Abstract:With the rapid development of high-speed aircraft, the influence of high temperature on the structural strength and the failure mode needs to be considered. The phase field fracture method provides a powerful tool to simulate fracture problems. And the Cell-based finite element method (CS-FEM) is an efficient numerical method which is wildly used in mechanical analysis. Hence, in this paper, phase field fracture model is used to simulate the coupling thermo-elastic fracture problem which is implemented with the CS-FEM. The basic theories of thermal conduction and phase field model are briefly reviewed. The governing equations are derived. The variational formula and the linearization of the three-field coupled system are presented. The numerical implementation of thermal-elastic phase field fracture model with CS-FEM is provided. And then, the calculation programs are written to perform two classical numerical tests with staggered strategy in MATLAB software. First, a typical 2D tensile fracture behavior of edge notched square specimen under thermal-mechanical load is calculated. The results show that, for tensile specimens, the temperature difference between the upper and the lower surfaces can advance or delay the crack initiation without considering the influence of temperature on the fracture toughness. The result is in a good agreement with the finite element calculation results, and CS-FEM costs less time and is little more efficient than the FEM one. Second, the multi-cracks propagating and failure behavior of the ceramic plate under thermal shock is simulated by this proposed method. It is found that the number and length of cracks are affected by the temperature difference between inside and outside, and the numerical results can agree well with the experimental ones. This work is an extension of the CS-FEM based on phase-field method and it can provide an effective way to simulate thermal-elastic coupling fracture behavior.
收稿日期: 2022-08-10      出版日期: 2023-06-19
基金资助:粉末尺寸与含氧量对冷喷涂固态增材制造金属材料内部缺陷影响及其与断裂强度相关性
通讯作者: 马玉娥     E-mail: ma.yu.e@nwpu.edu.cn
引用本文:   
马玉娥 陈鹏程 郭雯 彭帆. 基于光滑有限元法的热-弹相场断裂研究[J]. , 2023, 44(3): 346-354.
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