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正交各向异性功能梯度材料涂层基底结构的平面断裂问题

郭丽芳 李星

宁夏大学学报(自然科学版)2011,Vol.32Issue(1):22-27,6.
宁夏大学学报(自然科学版)2011,Vol.32Issue(1):22-27,6.DOI:CNKI:64-1006/N.20110321.1757.001

正交各向异性功能梯度材料涂层基底结构的平面断裂问题

Plane Crack Problem of Coating-substrate Structure for Orthotropic Functionally Graded Material

郭丽芳 1李星2

作者信息

  • 1. 上海交通大学数学系,上海,200240
  • 2. 宁夏医科大学高等卫生职业技术学院,宁夏银川,750004
  • 折叠

摘要

Abstract

In this paper, the Fourier integral transform-singular integral equation method is presented for the Mode-I crack problem of the orthotropic functionally graded coating-substrate structure. The elastic property of the material is assumed vary continuously along the thickness direction. The principal directions of orthotropy are parallel and perpendicular to the boundaries of the strip. The mixed boundary value problem is reduced to a singular integral equation over crack by applying the Fourier transform and the singular integral equation is solved numerically by using the Gauss-Chebyshev integration technique.Numerical examples are presented to illustrate the effects of the crack length, the material nonhomogeneity and the thickness of coating on the stress intensity factors.

关键词

正交各向异性功能梯度材料/奇异积分方程/应力强度因子/裂纹/涂层基底结构

Key words

orthotropic functionally graded material/ singular integral equation/ stress intensity factor/ crack/ coating-substrate stucture

分类

数理科学

引用本文复制引用

郭丽芳,李星..正交各向异性功能梯度材料涂层基底结构的平面断裂问题[J].宁夏大学学报(自然科学版),2011,32(1):22-27,6.

基金项目

国家自然科学基金资助项目(10962008,51061015) (10962008,51061015)

宁夏大学学报(自然科学版)

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0253-2328

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