Stress concentration in a finite functionally graded material plate  

作　　者：YANG QuanQuan GAO CunFa CHEN WenTao 

机构地区：[1]State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics&Astronautics,Nanjing 210016,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2012年第7期1263-1271,共9页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 10972103);the Ph.D. Programs Foundation of Ministry of Education of China (Grant No. 20093218110004);the Funding of Jiangsu Innovation Program for Graduate Education (Grant No.CXZZ11_0191);Funding for Outstanding Doctoral Dissertation in NUAA (Grant No. BCXJ11-03)

摘　　要：This paper is to study the two-dimensional stress distribution of a finite functionally graded material (FGM) plate with a circular hole under arbitrary constant loads. Using the method of piece-wise homogeneous layers, the stress analysis of the finite FGM plate having radial arbitrary elastic properties is made based on the complex variable method combined with the least square boundary collocation technique. Numerical results of stress distribution around the hole are then presented for different loading conditions, different material properties and different plate sizes, respectively. It is shown that the stress concentration in the finite plate is generally enhanced compared with the case of an infinite plate, but it can be significantly reduced by choosing proper change ways of the radial elastic modulus.This paper is to study the two-dimensional stress distribution of a finite functionally graded material （FGM） plate with a circu- lar hole under arbitrary constant loads. Using the method of piece-wise homogeneous layers, the stress analysis of the finite FGM plate having radial arbitrary elastic properties is made based on the complex variable method combined with the least square boundary collocation technique. Numerical results of stress distribution around the hole are then presented for different loading conditions, different material properties and different plate sizes, respectively. It is shown that the stress concentration in the finite plate is generally enhanced compared with the case of an infinite plate, but it can be significantly reduced by choosing proper change ways of the radial elastic modulus.

关 键 词：functionally graded material f＇mite plate circular hole stress concentration 

分 类 号：TB34[一般工业技术—材料科学与工程] U416.01[交通运输工程—道路与铁道工程]