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首页> 外文期刊>Engineering Fracture Mechanics >A new conservation integral for circular arc crack under multiple loads
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A new conservation integral for circular arc crack under multiple loads

机译：多重载荷下圆弧裂纹的新守恒积分

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摘要

In this paper, a path independent integral J_F that represents the rate of energy flux at the tip during crack extension in a homogeneous and isotropic material has been derived from the principle of virtual work for a two-dimensional stationary circular arc crack subjected to multiple loads. This integral is an extension of the two-dimensional version of F-integral and includes the presence of the effects of thermal strains, initial strains and body forces, hitherto, unavailable in open literature, to the best of the authors' knowledge. It has been further demonstrated that Rice's J-integral, the J-integral derived by Kishimoto et al. and the F-integral proposed by Lorentzon et al. are special cases of the generalized integral J_F. The integral has been implemented into a finite element post-processing program for examining the path independence behavior under elastic and elastic-plastic deformation subjected to mechanical loads and thermo-elastic analyses under pure thermal loads. Within the limits of numerical accuracy, the application demonstrates that the solutions for the energy release rate on different contours preserve nearly identical values over the computational range.
机译：在本文中，从均匀工作的二维稳态圆弧裂纹的虚拟功原理出发，得出了路径独立积分J_F，该积分J_F表示均匀和各向同性材料在裂纹扩展过程中尖端处的能量通量率。 。该积分是F积分的二维形式的扩展，并包括据作者所知迄今尚未出现的热应变，初始应变和体力的影响。进一步证明赖斯的J积分是由Kishimoto等人衍生的J积分。和Lorentzon等人提出的F积分。是广义积分J_F的特例。该积分已实施到有限元后处理程序中，以检查在承受机械载荷和纯热载荷下的弹性和弹塑性变形下的路径独立性和热弹性分析。在数值精度的范围内，该应用表明，不同轮廓上的能量释放速率的解决方案在计算范围内保留了几乎相同的值。

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