ON THE USE OF PATH-INDEPENDENT INTEGRALS IN CALCULATING MIXED-MODE STRESS INTENSITY FACTORS FOR ELASTIC AND THERMOELASTIC CASES

Y. Eugene Pak; Sanghyo Kim

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ON THE USE OF PATH-INDEPENDENT INTEGRALS IN CALCULATING MIXED-MODE STRESS INTENSITY FACTORS FOR ELASTIC AND THERMOELASTIC CASES

机译：路径独立积分在计算弹性和热弹性情况下的混合模式应力强度因子中的应用

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摘要

It is well known that the energy release rates associated with translation, rotation and self-similar expansion of cavities or cracks in solids are expressed by path-independent integrals J, L and M, respectively. It is shown that for a crack under a uniform tension and for an insulated crack disturbing a uniform heat flow, the energy release rates can be calculated by first considering an elliptical cavity and then performing a limiting process. This limiting process, with certain special properties of the M-integral and the additional relationship provided by the L-integral makes it possible to find the mixed-mode stress intensity factors.

机译：众所周知，与固体中空腔或裂纹的平移，旋转和自相似膨胀相关的能量释放速率分别由与路径无关的积分J，L和M表示。结果表明，对于均匀张力下的裂纹和扰动均匀热量流的绝热裂纹，可以通过首先考虑椭圆形腔体，然后执行限制过程来计算能量释放率。具有M积分的某些特殊属性以及L积分提供的附加关系的这种限制过程使得可以找到混合模式应力强度因子。

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来源
《Journal of thermal stresses》 |2010年第7期|P.661-673|共13页
作者
Y. Eugene Pak; Sanghyo Kim;
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作者单位

Advanced Institutes of Convergence Technology, Seoul National University, 864-1 Iui-Dong, Yeongtong-Gu, Suwon-Si, Gyeonggi-Do 443-270, Korea;

rnDepartment of Bionanotechnology, Kyungwon University, Seongnam-Si, Gyeonggi-Do, Korea;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
J-integral; L-integral; M-integral; mixed-mode stress intensity factors; path-independent integrals; thermoelastic fracture;

机译：J积分L积分M积分混合模式应力强度因子;与路径无关的积分;热弹性断裂;

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1. Symmetric Galerkin boundary element computation of T-stress and stress intensity factors for mixed-mode cracks by the interaction integral method [J] . Sutradhar A, Paulino GH Engineering analysis with boundary elements . 2004,第11期

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2. T-stress, mixed-mode stress intensity factors, and crack initiation angles in functionally graded materials: a unified approach using the interaction integral method [J] . Jeong-Ho Kim, Glaucio H. Paulino Computer Methods in Applied Mechanics and Engineering . 2003,第11a12期

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3. Extraction of the generalized stress intensity factor in gross sliding complete contacts using a path-independent integral [J] . F. J. Fuenmayor, E. Giner, M. Tur Fatigue & Fracture of Engineering Materials & Structures . 2005,第12期

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5. ASPECTS OF FRACTURE MECHANICS FOR ELASTIC SOLIDS COUPLED TO OTHER FIELDS (CRACK, DIELECTRIC, PATH-INDEPENDENT INTEGRALS, CONSERVATION LAWS, THERMOELASTIC FRACTURE) [D] . PAK, YUKEUN EUGENE 1985

机译：耦合到其他领域的弹性体的断裂力学方面（裂纹，介电，与路径无关的积分，守恒律，热弹性断裂）
6. A high-order boundary integral method for surface diffusions on elastically stressed axisymmetric rods [O] . Xiaofan Li, Qing Nie -1

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7. Crack-Tip Stress Singularity Field of a Mixed-Mode Three-Dimensional Crack. 1st Report. Comparison of Mixed-Mode Stress Intensity Factors and J-Integrals Obtained through Displacement Method, J-Integral Formulation, and Modified Crack-Closure Integral. [O] . Kenji Machida, Masanori Kikuchi, Yasuaki Matsushima 1995

机译：混合模式三维裂缝的裂纹尖应力奇异场。第一个报告。通过位移法，J-积分制定和改进的裂纹封闭积分而获得的混合模式应力强度因子和J-积分的比较。

ON THE USE OF PATH-INDEPENDENT INTEGRALS IN CALCULATING MIXED-MODE STRESS INTENSITY FACTORS FOR ELASTIC AND THERMOELASTIC CASES

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