功能梯度材料弯曲断裂模型分析

讨论功能梯度材料裂纹板受纯弯、纯扭、弯扭载荷作用下的弯曲断裂问题。根据弹性力学基本方程、断裂力学有关理论，分别将弹性常数：杨氏模量、泊松比、剪切模量设为任意函数、指数函数或幂函数，建立了各向同性、正交异性功能梯度材料板的弯曲断裂模型，即一系列相关的偏微分方程边值问题。对于功能梯度材料弯曲断裂问题的研究具有一定的参考价值。

The Model Analysis for Bending Fractureof Functionally Graded Materials

The bending fracture problems of cracked plate for functionally graded materials under loads of pure bending,pure twisting or bending and twisting are discussed.From basic equations of elastic mechanics and related knowledge of fracture mechanics,letting elastic constants(Young's modulus,Poisson's ratio and shear modulus) are expressed in arbitrary functions,expomential functions or power functions,the bending fracture models for functionally graded materials(isotropic or orthotropic),i.e,a series of boundary value problems of partial differential equations are established.These results are given in this paper have certain referential value in studies of bending fracture problems for functionally graded materials.