各向异性断裂韧性介质中裂纹扩展路径的理论与数值预测
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摘要
通过在各向异性断裂韧性介质中引入最大能量释放率准则,将岩石的断裂韧性模型简化为弱面模型,本文从理论上分析了不同加载模式下裂纹的扩展路径选择,并通过扩展有限元方法(XFEM)在数值上模拟了裂纹在弱面模型下的扩展过程,发现裂纹的扩展路径有周期性模式,并受到载荷和弱面强度的共同控制。
引文
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[2]HAKIM V,KARMA A.Crack path prediction in anisotropic brittle materials[J].Physical Review Letters,2005,95(23):235501.
[3]HAKIM V,KARMA A.Laws of crack motion and phase-field models of fracture[J].Journal of the Mechanics and Physics of Solids,2009,57(2):342–368.
[4]CHAMBOLLE A,FRANCFORT G A,MARIGO J J.When and how do cracks propagate?[J].Journal of the Mechanics and Physics of Solids,2009,57(9):1614–1622.
[5]TAKEI A,ROMAN B,BICO J等.Forbidden directions for the fracture of thin anisotropic sheets:An analogy with the wulff plot[J].Physical Review Letters,2013,110(14):1–5.
[6]AMESTOY M,LEBLOND J B.Crack paths in plane situations—II.Detailed form of the expansion of the stress intensity factors[J].International Journal of Solids and Structures,1992,29(4):465–501.