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正交各向异性功能梯度涂层-基底结构共线裂纹问题的断裂分析
引用本文:丁生虎,李星,黄凌霄,张保文.正交各向异性功能梯度涂层-基底结构共线裂纹问题的断裂分析[J].固体力学学报,2011,32(6):625-629.
作者姓名:丁生虎  李星  黄凌霄  张保文
作者单位:1. 宁夏大学2. 宁夏大学数学与计算科学系
基金项目:国家自然科学基金项目,宁夏自然科学基金项目,宁夏大学自然科学基金项目(
摘    要:论文研究了一正交各向异性功能梯涂层粘结到一均匀基底含共线裂纹的平面I型断裂问题.引入新的双参数指数函数模拟连续改变的材料性质,正交各向异性的主轴方向分别为平行和垂直于带的边界,采用积分变换技术,所求的问题转化为第一类的Cauchy奇异积分方程,获得了共线裂纹尖端应力场,结果显示了材料常数和几何参数对应力强度因子的影响.

关 键 词:各向异性材料  功能梯度材料  共线裂纹  奇异积分方程
收稿时间:2010-03-02

TWO COLLINEAR CRACKS ALONG THE INTERFACE BETWEEN A FUNCTIONALLY GRADED ORTHOTROPIC COATING AND THE SUBSTRATE STRUCTURE
Shenghu Ding,Xing Li,Lingxiao Huang,Baowen Zhang.TWO COLLINEAR CRACKS ALONG THE INTERFACE BETWEEN A FUNCTIONALLY GRADED ORTHOTROPIC COATING AND THE SUBSTRATE STRUCTURE[J].Acta Mechnica Solida Sinica,2011,32(6):625-629.
Authors:Shenghu Ding  Xing Li  Lingxiao Huang  Baowen Zhang
Abstract:This paper investigates the mode I crack problem of two collinear cracks for a functionally graded orthotropic coating bonded to a homogeneous substrate. A new bi-parameter exponential function was introduced to simulate the continuous variation of material properties. The principal directions of orthotropy are parallel and perpendicular to the boundaries of the strip. By using integral transforms, the problem was reduced as a system of Cauchy singular integral equations of the first kind. The local stress field was obtained. The influences of parameters such as the material constants and the geometry parameters on the stress intensity factors (SIFs) are studied.
Keywords:
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