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RELATION BETWEEN ENERGY RELEASE RATE AND STRESS INTENSITY FACTOR FOR MODE I CRACK UNDER TRIAXIAL STRESS STATE

机译:三轴应力状态下I型裂纹的能量释放速率与应力强度因子的关系

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Relation between energy release rate and stress intensity factor for mode I crack under triaxial stress state is analyzed in detail. Firstly the crack-tip fields for mode I crack under axial tension in a three-dimensional (3D) isotropic continuum are derived by aid of the equilibrium and compatibility equations. Then the relation between energy release rate and stress intensity factor for mode I crack under triaxial stress state is obtained in explicit form by recourse to the analytic expressions of the afore-mentioned crack-tip fields. The present solutions for plane stress and plane strain states coincide very well with the classic elasticity solutions for plane stress and plane strain states respectively. Also the present work can be applied to theoretically calculating the fracture toughness of ductile metals, and the evaluated fracture toughness values have a good agreement with the tested values.
机译:详细分析了三轴应力状态下Ⅰ型裂纹的能量释放速率与应力强度因子的关系。首先,借助平衡和相容性方程,推导了三维(3D)各向同性连续体中轴向拉伸下的I型裂纹的裂纹尖端场。然后利用上述裂纹尖端场的解析表达式,以显式形式得到三轴应力状态下I型裂纹的能量释放速率与应力强度因子的关系。平面应力和平面应变状态的当前解决方案分别与平面应力和平面应变状态的经典弹性解决方案非常吻合。另外,本发明也可用于理论计算延展性金属的断裂韧性,并且所评估的断裂韧性值与测试值具有良好的一致性。

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