Analytical forms of higher-order asymptotic elastic-plastic crack-tip fields in a linear hardening material under antiplane shear

1996 ◽  
Vol 80 (1) ◽  
pp. 59-71 ◽  
Author(s):  
S. Yang ◽  
F. G. Yuan ◽  
Martin Y. M. Chiang
Keyword(s):  
Crack Tip ◽  
Higher Order ◽  
Antiplane Shear ◽  
Hardening Material ◽  
Linear Hardening ◽  
Elastic Plastic ◽  
Crack Tip Fields

Higher order asymptotic elastic-plastic crack-tip fields under antiplane shear

1996 ◽  
Vol 54 (3) ◽  
pp. 405-422 ◽  
Author(s):  
S. Yang ◽  
F.G. Yuan ◽  
X. Cai
Keyword(s):  
Crack Tip ◽  
Higher Order ◽  
Antiplane Shear ◽  
Elastic Plastic ◽  
Crack Tip Fields

Higher order asymptotic crack tip fields in a power-law hardening material

1993 ◽  
Vol 45 (1) ◽  
pp. 1-20 ◽  
Author(s):  
S. Yang ◽  
Y.J. Chao ◽  
M.A. Sutton
Keyword(s):  
Power Law ◽  
Crack Tip ◽  
Higher Order ◽  
Hardening Material ◽  
Crack Tip Fields

The Higher Order Crack Tip Fields for Arbitrary FGM Composite Functions

2011 ◽  
Vol 19 (4-5) ◽  
pp. 401-404
Author(s):  
Dai Yao ◽  
Zhang Lei ◽  
Liu Jun-feng ◽  
Zhong Xiao
Keyword(s):  
Crack Tip ◽  
Higher Order ◽  
Composite Functions ◽  
Crack Tip Fields

The Higher Order Crack Tip Fields for Interfacial Crack between Linear Functionally Graded and Homogeneous Piezoelectric Materials

2014 ◽  
Vol 1015 ◽  
pp. 97-100
Author(s):  
Yao Dai ◽  
Xiao Chong ◽  
Ying Chen
Keyword(s):  
Piezoelectric Materials ◽  
Electric Displacement ◽  
Interfacial Crack ◽  
Crack Tip ◽  
Higher Order ◽  
Functionally Graded ◽  
Linear Functions ◽  
Intensity Factors ◽  
Crack Tip Fields ◽  
Functionally Graded Piezoelectric Materials

The higher order crack-tip fields for an anti-plane crack situated in the interface between functionally graded piezoelectric materials (FGPMs) and homogeneous piezoelectric materials (HPMs) are presented. The mechanical and electrical properties of the FGPMs are assumed to be linear functions of y perpendicular to the crack. The crack surfaces are supposed to be insulated electrically. By using the method of eigen-expansion, the higher order stress and electric displacement crack tip fields for FGPMs and HPMs are obtained. The analytic expressions of the stress intensity factors and the electric displacement intensity factors are derived.

On Higher-Order Crack-Tip Fields in Creeping Solids

1999 ◽  
Vol 67 (2) ◽  
pp. 372-382 ◽  
Author(s):  
B. N. Nguyen ◽  
P. R. Onck ◽  
E. van der Giessen
Keyword(s):  
Power Law ◽  
Crack Tip ◽  
Small Strain ◽  
Higher Order ◽  
Single Edge ◽  
Constraint Effect ◽  
Scaling Properties ◽  
Crack Tip Fields ◽  
Asymptotic Development ◽  
Loading Parameter

In view of the near-tip constraint effect imposed by the geometry and loading configuration, a creep fracture analysis based on C* only is generally not sufficient. This paper presents a formulation of higher-order crack-tip fields in steady power-law creeping solids which can be derived from an asymptotic development of near-tip fields analogous to that of Sharma and Aravas and Yang et al. for elastoplastic bodies. The higher-order fields are controlled by a parameter named A2*, similar as in elastoplasticity, and a second loading parameter, σ∞. By means of the scaling properties for power-law materials, it is shown that A2* for a flat test specimen is independent of the loading level. Finally, we carry out small-strain finite element analyses of creep in single-edge notched tension, centered crack panel under tension, and single-edge notched bending specimens in order to determine the corresponding values of A2* for mode I cracks under plane-strain conditions. [S0021-8936(00)01202-2]

The Higher Order Axis-Directional Crack-Tip Field for Reissner's FGMs Cylindrical Shell

2013 ◽  
Vol 791-793 ◽  
pp. 746-749
Author(s):  
Yao Dai ◽  
Lei Zhang ◽  
Xiao Chong ◽  
Chun Fang Xue
Keyword(s):  
Cylindrical Shell ◽  
Asymptotic Expansion ◽  
Crack Problem ◽  
Crack Tip ◽  
Expansion Method ◽  
Higher Order ◽  
Crack Tip Field ◽  
Engineering Structures ◽  
Crack Tip Fields ◽  
Asymptotic Expansion Method

Reissners theory for cylindrical shell is adopted to analyze the axis-directional crack problem for FGMs cylindrical shell by using the asymptotic expansion method. The eigen-solution of the crack-tip fields for the cylindrical shell is obtained. The results are similar to Williams solution for the plane problems in homogeneous materials, and will be applied widely to engineering structures.

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