| 基于数值流形方法和交互积分法的平面裂纹T应力求解 |
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| 引用本文： | 刘思敏,张慧华,韩尚宇,刘强.基于数值流形方法和交互积分法的平面裂纹T应力求解[J].应用力学学报,2021(1):113-120. |
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| 作者姓名： | 刘思敏 张慧华 韩尚宇 刘强 |
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| 作者单位： | 南昌航空大学土木建筑学院 |
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| 基金项目： | 国家自然科学基金(12062015,11462014);江西省自然科学基金(20192BAB202001);江西省教育厅科学技术研究项目(GJJ180533)。 |
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| 摘 要： | 发展了用于计算含裂纹平面各向同性线弹性材料T应力的数值流形方法(NMM).利用修正变分原理导出了分析二维裂纹问题的NMM离散方程,给出了围域型交互积分法提取T应力的主要公式;对单边裂纹问题、倾斜裂纹问题、孔边多裂纹问题三个算例进行了模拟,证实了本文方法的收敛性和精度,并进一步探讨了裂纹构型(如裂纹的长度和倾角)对T应力...
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| 关 键 词： | T应力 平面裂纹 断裂参数 数值流形方法 交互积分法 |
Calculation of T-stress for planar cracks with the numerical manifold method and the interaction integral method |
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| Liu Simin,Zhang Huihua,Han Shangyu,Liu Qiang.Calculation of T-stress for planar cracks with the numerical manifold method and the interaction integral method[J].Chinese Journal of Applied Mechanics,2021(1):113-120. |
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| Authors: | Liu Simin Zhang Huihua Han Shangyu Liu Qiang |
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| Institution: | (School of Civil Engineering and Architecture,Nanchang Hangkong University,330063,Nanchang,China) |
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| Abstract: | The numerical manifold method(NMM) is applied to compute the T-stresses for planar cracks in isotropic linear elastic materials. The NMM discrete equations for two-dimensional crack simulation are derived by the aid of the modified variational principle. Important formulations for the computation of T-stresses through the domain-independent interaction integral method are provided. Several examples with increasing complexity are tested. The convergence and accuracy of the proposed method are numerically verified and the effects of crack configurations(e.g., the crack length and inclined angle) on the T-stresses are also inspected. |
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| Keywords: | T-stress planar cracks fracture parameter numerical manifold method interaction integral method |
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