用新分层方法研究功能梯度材料平面断裂问题

Research on Functionally Graded Materials Plane Fracture Equation by Using a New Method

针对材料参数在厚度方向按任意函数形式连续变化的功能梯度材料薄板,利用新的分层方法,求出各向异性、正交异性功能梯度材料板平面断裂基本方程并结合各向同性功能梯度材料及各向同性、各向异性、正交异性复合材料对方程作了全面讨论.结果表明复合材料和功能梯度材料以及各向同性、各向异性、正交异性之间既有区别又有密切联系,新的分层方法非常有效.

The equation for plane fracture problems of anisotropic functionally graded materials（FGMs） with the elastic modulus variation represented in the arbitrary function form can be gotten by using a new multilayered method. As a base, orthotropic FGMs problems can also be solved. Finally, the isotropic, orthotropie and anisotropic FGMs with composite materials are all discussed. Results show that they have a lot of connection; and the new multi-layered method can be used in these cases.