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非线性断裂力学的一个精确解
引用本文:黄维扬.非线性断裂力学的一个精确解[J].南京航空航天大学学报,1991(1).
作者姓名:黄维扬
作者单位:南京航空学院飞机系
摘    要:对含中心裂纹的无限大板在裂纹表面受均匀分布压力作用的情况,导出了几何非线性弹性断裂力学的能量释放率的一个精确表达式。分析方法的依据是采用逐步增量加载的椭圆孔洞的线弹性解和利用了椭圆孔洞表面受垂直于长轴方向的均布外力作用变形后仍是椭圆这一特点。解答与线弹性的能量释放率进行了比较。定量地证明,采用线弹性断裂力学的方法解答几何非线性断裂问题在通常的工作应力范围精度是足够的。

关 键 词:裂纹  断裂力学  能量释放率  应力强度因子  非线性弹性力学

An Exact Solution of Nonlinear Fracture Mechanics
Huang Weiyang.An Exact Solution of Nonlinear Fracture Mechanics[J].Journal of Nanjing University of Aeronautics & Astronautics,1991(1).
Authors:Huang Weiyang
Institution:Department of Aircraft Engineering
Abstract:An exact expression of energy release rate for geometrical nonlinear elastic fracture mechanics is obtained for an infinite plate with central crack under uniform stress normal to crack surfaces. This analytical method is based on solutions of linear elasticity by incremental loading. The solutions are compared with the energy release rate of linear elasticity. The result shows quantitatively that the difference between the two is vevy small.
Keywords:crack  fracture mechanics  energy release rate  stress intensity factor  nonlinearity elasticity
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