脆性断裂的非局部力学理论
NONLOCAL THEORY OF BRITTLE FRACTURE
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摘要: 本文提出一种脆性材料断裂的非局部力学理论,内容包括:Ⅰ、Ⅱ、Ⅲ型Griffith裂纹的非局部弹性应力场,裂纹尖端邻域非局部弹性应力场的渐近形式,脆性开裂的最大拉应力准则。文中给出了这种理论应用于三种基本型裂纹和Ⅰ-Ⅱ、Ⅰ-Ⅲ复合型裂纹临界开裂条件的计算结果,并把它们与一些试验资料和最小应变能密度因子理论进行了对比。Abstract: In this paper, a nonlocal theory of fracture for brittle materials has beenproposed. It contains the nonlocal elastic stress fields of mode-I, II, III Griffith cracks, the asymptotic forms of the stress fields at the neighborhood of the crack tips, and the maximum tensile stress criterion of brittle fracture. As an application of the theory, the fracture criteria of cracks of mode-I, II, III and mixed mode I-II, I-III are given in detail and compared with some experimental data and the theoretical results o...
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