Paper Title:
The Crack-Tip Higher Order Asymptotic Fields for a Mode III Crack in a Functionally Gradient Material
  Abstract

Crack-tip higher order stress and displacement fields for a mode III crack along the direction of property variation in a functionally gradient material (FGM), which has a power variation of shear modulus along the gradient direction, are obtained through the asymptotic analysis. The asymptotic expansions of crack tip stress fields are derived to explicitly bring out the influence of non-homogeneity on the structure of the stress field. The analysis reveals that only the higher order terms in the expansion are influenced by the material non-homogeneity. Moreover, it can be seen from expressions of higher order stress fields that at least three terms must be considered in the case of FGMs in order to explicitly and theoretically account for non-homogeneity effects on crack tip stress fields.

  Info
Periodical
Advanced Materials Research (Volumes 33-37)
Edited by
Wei Yang, Mamtimin Geni, Tiejun Wang and Zhuo Zhuang
Pages
713-718
DOI
10.4028/www.scientific.net/AMR.33-37.713
Citation
Y. Dai, X. F. Yan, C. Q. Sun, W. Tan, "The Crack-Tip Higher Order Asymptotic Fields for a Mode III Crack in a Functionally Gradient Material", Advanced Materials Research, Vols. 33-37, pp. 713-718, 2008
Online since
March 2008
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Yao Dai, Peng Zhang, Zhao Quan Zheng, Wei Tan
Abstract:The exponential and power material functions are often applied to functionally gradient materials (FGM). Obviously, it is of fundamental...
1782
Authors: Yao Dai, Shi Min Li, Peng Zhang, Xiao Chong
Abstract:An arbitrarily oriented anti-plane crack with its tip at the physical weak-discontinuous line of the structure which is made up of...
1309
Authors: Yao Dai, Jun Feng Liu, Lei Zhang, Xiao Chong
Chapter 6: New Functional Materials
Abstract:The Reissner’s plate bending theory with consideration of transverse shear deformation effects is adopted to study the fundamental fracture...
1421
Authors: Yao Dai, Lei Zhang, Jun Feng Liu, Xiao Chong, Hong Qian Chen
Chapter 3: Mechanics Engineering and Applied Mechanics
Abstract:The eigen-problem of a crack in functionally graded Reissner’s spherical shell is analyzed. By adopting the asymptotic expansion method, the...
826
Authors: Yao Dai, Xiao Chong
Chapter 2: Materials and Processing Technologies
Abstract:The Reissner’s plate bending theory with consideration of transverse shear deformation effects is adopted to study the fundamental fracture...
491