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基于X-SBFEM非线性断裂数值模型研究 |
Study on Numerical Model of Nonlinear Fracture based on X-SBFEM |
投稿时间:2016-09-18 修订日期:2016-11-24 |
DOI: |
中文关键词: 扩展比例边界有限元法 应力强度因子 粘聚力 Side-face力 裂纹过程区 |
英文关键词: X-SBFEM SIFs Cohesive traction Side-face traction FPZ |
基金项目:国家自然科学重点基金资助项目(51138001);S国家自然科学基金委创新研究群体项目(51421064);S中央高校基本科研业务费专项资金资助(DUT15TD17);S国家重点实验室青年创新基金(LY1609)S |
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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)断裂过程区的有效研究,是当前的研究热点之一。X-SBFEM兼有XFEM和SBFEM两种方法的优势,利用SBFEM求解裂纹尖端应力奇异性问题,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,本文提出采用Side-face力的形式基于粘聚力模型来模拟准脆性材料(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单边缺口剪切梁模拟裂纹过程区能量耗散影响,验证了本文方法的精度与应用效果。 |
英文摘要: |
The effective simulation of the fracture process zone of brittle materials (concrete) by using nonlinear fracture mechanics model is one of the hot spots in the current research. X-SBFEM has advantages of both XFEM and SBFEM, making full use of XFEM describing discontinuous displacement field and SBFEM high precisely solving stress singular problems. For the application of nonlinear fracture models in X-SBFEM, this paper stimulated the cohesive traction in Fracture Process Zone (FPZ) of the quasi-brittle material (the concrete) using the iterative method of linear superposition by the form of Side-face traction,which developed the X-SBFEM. Finally, numerical examples are considered to simulate the energy dissipation effect of the three-point bending specimen and the four-point shear specimen in the simulation of FPZ, which verified the accuracy and application effect of this method. |
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