Mechanical Analysis on the Plane Fracture of Anisotropic Graded Materials

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Mechanical Analysis on the Plane Fracture of Anisotropic Graded Materials

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- Mechanical Analysis on the Plane Fracture of Anisotropic Graded Materials
- 各向异性功能梯度材料平面断裂力学分析
- Issue 1, Pages: 78-81(2006)
- 作者机构：
  
  太原科技大学应用科学学院
- 作者简介：
- 基金信息：
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- Published：2006
- 稿件说明：
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高廷凯. Mechanical Analysis on the Plane Fracture of Anisotropic Graded Materials[J]. 2006, (1): 78-81.
DOI：

高廷凯. Mechanical Analysis on the Plane Fracture of Anisotropic Graded Materials[J]. 2006, (1): 78-81. DOI：

摘要

借助弹性力学理论和断裂力学知识

探讨了两类各向异性功能梯度材料平面断裂问题.把弹性模量按任意函数形式连续变化的各向异性功能梯度材料平面断裂问题

归结为求解一类四阶变系数齐次偏微分方程的边值问题.考虑了泊松比及相互影响系数为常量

而拉压和剪切弹性模量按特定的指数函数形式连续变化的情况

又求得另一类四阶常系数齐次偏微分方程边值问题.最后对两类方程作进一步分析讨论

指出第一类方程普遍的理论意义和第二类方程在解决现实问题时的实用性.

Abstract

Two classes of plane fracture problems of anisotropic functionally graded materials have been explored by using elastic theory and crack knowledge.With the elastic modulus variation represented in the form of arbitrary function plane

fracture problems can be regarded as solving a class of boundary value problem of partial differential equation.With constant modulus ν and η and with the other elastic modulus variation represented in the form of exponential function

plane fracture problems can be regarded as solving another class of boundary value problem of simple partial differential equation.The meaning of the two classes of equations is elucidated.The first equation has general significance in theory

and the second equation is useful in practice.

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references

D E LA LE F,E RDOGAN F.T HE CRACK PROB LEM FOR A NONHOM OGENEOUS P LANE[J].A SM E JOURNA L OF A PP LIED M ECHAN ICS,1983,50:609-614.

E RDOGAN F,W U B H.T HE SURFACE CRACK PROB LEM FOR A P LATE W ITH FUNCTIONA LLY GRADED PROPERTIES[J].A SM E JOURNA L OFA PP LIED M ECHAN ICS,1997,64:449-456.

K ONDA N,E RDOGAN F.T HE M IXED M ODE CRACK PROB LEM IN A NONHOM OGENEOUS E LASTIC P LANE[J].ENG INEERING F RACTUREM ECHAN ICS,1994,47:533-545.

蒋咏秋,陆逢升,顾志建.复合材料力学[M].西安:西安交通大学出版社,1990:10-25.

张少琴,杨维阳,张克颢.复合材料的Z-断裂准则及专家系统[M].北京:科学出版社,2003:12-26.

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