论文部分内容阅读
研究了断裂面分形特征的力学特征,同时研究了自相似和自仿射分形裂纹尖端附近应力和应变的奇异性结构,讨论了二维和三维固体中分形裂纹的3种经典断裂型式和第四种断裂型式。发现分形断裂力学中有6种断裂型式。同时,结果表明J积分与路径有关。阐明了文献中提出修改的、且被证明与路径无关的J积分仅局部与路径无关,而且没有物理意义。可以推测,分形J积分应当是单位裂纹扩展分形测度的势能释放率。我们计算了某些应变硬化材料中分形裂纹应力和应变奇异性的幂。结果显示,分形裂纹尖端的应力和应变比光滑裂纹的应力和应变有较弱的奇异性。
The mechanical characteristics of the fracture surface fractal characteristics are studied. At the same time, the singularities of the stress and strain near the tip of the self-similar and self-affine fractal fractures are studied. The three classical fracture types of fractal fractures in two- and three- Type of fracture. Fracture fracture mechanics found in six kinds of fracture types. At the same time, the results show that J integral is related to the path. It is clarified that the J-points proposed in the literature that have been modified to be path-independent are only path-independent and have no physical meaning. It can be speculated that the fractal J integral should be the potential energy release rate of the unit crack propagation fractal measure. We calculated the power of fractal crack stress and strain singularity in some strain hardening materials. The results show that the stress and strain at fractal crack tip are weaker than those of smooth crack.