| 关于功能梯度材料反平面断裂问题的力学模型 |
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| 引用本文： | 张红燕,杨维阳.关于功能梯度材料反平面断裂问题的力学模型[J].太原科技大学学报,2006,27(3):214-216. |
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| 作者姓名： | 张红燕 杨维阳 |
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| 作者单位： | 太原科技大学应用科学学院,太原,030024 |
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| 摘 要： | 讨论功能梯度材料裂纹板在剪切载荷作用下的反平面断裂问题。根据弹性力学基本方程、断裂力学有关知识，将弹性常数（剪切模量）依次设为任意函数、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反平面断裂模型，即一系列相关的偏微分方程边值问题。这对于功能梯度材料反平面断裂问题的研究具有一定的参考价值。
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| 关 键 词： | 功能梯度材料 反平面断裂 偏微分方程 边值问题 |
| 文章编号： | 1673-2057(2006)03-0214-04 |
| 修稿时间： | 2005年8月31日 |
Mechanical Model of Anti-plane Fracture Problems for Functionally Graded Materials |
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| ZHANG Hong-yan,YANG Wei-yang.Mechanical Model of Anti-plane Fracture Problems for Functionally Graded Materials[J].Journal of Taiyuan University of Science and Technology,2006,27(3):214-216. |
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| Authors: | ZHANG Hong-yan YANG Wei-yang |
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| Abstract: | The anti-plane fracture problems of cracked plate for functionally graded materials under shear loads is discussed.Based on basic equations of elastic mechanics and related knowledge of fracture mechanics,elastic constant(shear modulus) is expressed in arbitrary functions,exponential functions or power functions.The anti-plane fracture models for functionally graded materials(isotropic or orthotropic),i.e,a series of boundary value problems of partial differential equations are established.The results given in this paper have certain referential value in studies of anti-plane fracture problems for functionally graded materials. |
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| Keywords: | functionally graded materials anti-plane fracture partial differential equation boundary value problem |
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