Effects of finite chain extensibility on the stress fields near the tip of a mode III crack

2011 ◽  
Vol 467 (2135) ◽  
pp. 3170-3187 ◽  
Author(s):  
Rong Long ◽  
Chung-Yuen Hui
Keyword(s):  
Stress Field ◽  
Crack Tip ◽  
Stress Fields ◽  
Small Scale ◽  
Finite Chain ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Scale Yielding ◽  
Stress And Deformation ◽  
Crack Tip Stress

We carried out a detailed analysis of the asymptotic stress and deformation fields at the tip of a mode III crack in a hyperelastic solid described by Gent's model. This model accounts for finite chain extensibility so that the deformation everywhere in the solid, including the crack tip, is bounded. We also present an exact solution for the ‘small-scale yielding’ problem where the region of large deformation is small compared with specimen dimensions. Our result shows that the crack tip stress field is non-separable. In addition, an infinite number of parameters are needed to completely specify the angular variation of crack tip stress field.

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

2008 ◽  
Vol 33-37 ◽  
pp. 713-718
Author(s):  
Yao Dai ◽  
Xiu Fa Yan ◽  
Chang Qing Sun ◽  
Wei Tan
Keyword(s):  
Crack Tip ◽  
Higher Order ◽  
Stress Fields ◽  
Gradient Material ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Functionally Gradient Material ◽  
Functionally Gradient ◽  
Order Stress ◽  
Crack Tip Stress

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.

Mode III Crack Tip Plastic Zone Solution for Work Hardening Solid Using Dislocation Motion

1989 ◽  
Vol 56 (4) ◽  
pp. 976-977 ◽  
Author(s):  
J. Weertman
Keyword(s):  
Dislocation Density ◽  
Plastic Zone ◽  
Dislocation Motion ◽  
Small Scale ◽  
Stationary Mode ◽  
Mode Iii ◽  
Mode Iii Crack ◽  
Class A ◽  
Cylindrical Coordinate ◽  
Scale Yielding

The stress and strain field solutions for the stationary mode III crack in small-scale yielding is obtained from a direct physical picture in which the plastic strain is produced by the motion of infinitesimal dislocations. The analysis is based on a shifting center, cylindrical coordinate system. The nonredundant dislocation density is determined. The ratio of nonredundant to redundant dislocation density within the plastic zone may be a useful measure for placing cracks into a brittle class, a ductile class and semibrittle to semiductile classes.

Fracture Toughness Evaluation of High Strength Steel Pipe

2008 ◽  
Author(s):  
G. Shen ◽  
R. Bouchard ◽  
J. A. Gianetto ◽  
W. R. Tyson
Keyword(s):  
Fracture Toughness ◽  
Stress Field ◽  
Crack Tip ◽  
High Strength ◽  
T Test ◽  
Small Scale ◽  
Factors Affecting ◽  
Circumferential Crack ◽  
Two Parameters ◽  
Crack Tip Stress

Stress fields and constraint parameters (Q and A2) of circumferentially-cracked high strength pipe in displacement-controlled tension are compared with those of small-scale single-edge notched samples tested in tension (SE(T)) and bending (SE(B)). The factors affecting transferability of fracture toughness (J-resistance) data from small-scale laboratory tests to cracked high strength pipe are discussed. The crack-tip stress field is of similar form for a circumferential crack in a pipe and a SE(T) test specimen, while for a SE(B) specimen there is a significant gradient in the crack-tip stress field. Hence, the fracture toughness can be characterized by only two parameters (J and Q or J and A2) for tension-loaded pipe and SE(T) tests, but for SE(B) tests one more parameter is needed to describe the bending term. It is concluded that the constraint in a SE(T) test with ratio of span between load points to width H/W = 10 provides a reasonable match to that for a circumferential crack in a pipe subjected to tensile loading.

Constraint effects on crack tip stress fields for cracks located at the fusion line of weldments

1999 ◽  
Vol 15 (3) ◽  
pp. 275-284 ◽  
Author(s):  
C Thaulow ◽  
Z.L Zhang ◽  
M Hauge ◽  
W Burget ◽  
D Memhard
Keyword(s):  
Crack Tip ◽  
Fusion Line ◽  
Stress Fields ◽  
Constraint Effects ◽  
Crack Tip Stress
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