scholarly journals The Effect of the Non-singular T-stress Components on Crack Tip Plastic Zone under Mode I Loading

2014 ◽  
Vol 3 ◽  
pp. 141-146 ◽  
Author(s):  
Yu.G. Matvienko
Keyword(s):  
Plastic Zone ◽  
Crack Tip ◽  
Mode I ◽  
Stress Components ◽  
Mode I Loading ◽  
T Stress

The Effect of T-Stress on Crack-Tip Plastic Zones Under Cyclic Mixed-Mode Loading Conditions

2013 ◽  
Author(s):  
Qays Nazarali ◽  
Xin Wang
Keyword(s):  
Stress Intensity ◽  
Cyclic Loading ◽  
Stress Field ◽  
Plastic Zone ◽  
Mixed Mode ◽  
Crack Tip ◽  
Mode I ◽  
Loading Conditions ◽  
T Stress ◽  
Plastic Zones

In this paper, the influence of T-stress on crack-tip plastic zones under mixed-mode I and II loading conditions under cyclic loading is examined. The crack-tip stress field is defined in terms of the ranges of mixed-mode stress intensity factors and the T-stress using William’s series expansion. The crack-tip stress field is incorporated into the Von Mises yield criteria to develop an expression that determines the cyclic crack-tip plastic zone. Using the resultant expression, the cyclic plastic zone is obtained for various combinations of mode II to mode I stress intensity factor ratios and levels of T-stress. For the purpose of demonstrating the significance of the T-stress, this paper further analyses the plastic zone size for center cracked plate (CCP) specimen subjected to bi-axial mixed-mode cyclic loading.

On the Path-Dependence of the J-Integral Near a Stationary Crack in an Elastic-Plastic Material

2010 ◽  
Vol 78 (1) ◽  
Author(s):  
Dorinamaria Carka ◽  
Chad M. Landis
Keyword(s):  
Finite Element ◽  
Plastic Zone ◽  
Boundary Conditions ◽  
Path Dependence ◽  
Crack Tip ◽  
Mode I ◽  
Far Field ◽  
J Integral ◽  
Mode I Loading ◽  
Poisson's Ratios

The path-dependence of the J-integral is investigated numerically via the finite-element method, for a range of loadings, Poisson’s ratios, and hardening exponents within the context of J2-flow plasticity. Small-scale yielding assumptions are employed using Dirichlet-to-Neumann map boundary conditions on a circular boundary that encloses the plastic zone. This construct allows for a dense finite-element mesh within the plastic zone and accurate far-field boundary conditions. Details of the crack tip field that have been computed previously by others, including the existence of an elastic sector in mode I loading, are confirmed. The somewhat unexpected result is that J for a contour approaching zero radius around the crack tip is approximately 18% lower than the far-field value for mode I loading for Poisson’s ratios characteristic of metals. In contrast, practically no path-dependence is found for mode II. The applications of T- or S-stress, whether applied proportionally with the K-field or prior to K, have only a modest effect on the path-dependence.

Fracture Properties of Softwood under Mode I Loading Perpendicular to the Grain

2007 ◽  
Vol 340-341 ◽  
pp. 477-482
Author(s):  
Ming Bao Li ◽  
Jun Cao ◽  
Shi Qiang Zheng
Keyword(s):  
Stress Intensity Factor ◽  
Plastic Zone ◽  
Yield Criterion ◽  
Compact Tension ◽  
Tension Test ◽  
Mode I ◽  
Fracture Properties ◽  
Mode I Loading ◽  
Compact Tension Test ◽  
Shape And Size

Fracture properties of softwood under mode I loading perpendicular to the grain are studied in this paper. The stress intensity factor KIC in the R and L directions is measured by the compact tension test using small several specimens. The shape and size of plastic zone in crack tip is determined by numerical simulations based on von Hill yield criterion. The results show that anisotropic material constants do not affect the length of plastic zone along crack direction and it only operates on the plastic zone with θcr≠ 0. Strength ratios α1, α2 and toughness ratios r1, r2, influencing on the plastic zone, are discussed. Comparative analysis shows that r1 and r2 work markedly on the shape and size of plastic zone, whereas α1, α2 do less.

Crack tip plastic zone under Mode I, Mode II and mixed mode (I+II) conditions

2010 ◽  
Vol 36 (5) ◽  
pp. 575-598 ◽  
Author(s):  
M.R. Ayatollahi ◽  
Karo Sedighiani
Keyword(s):  
Plastic Zone ◽  
Mixed Mode ◽  
Crack Tip ◽  
Mode I ◽  
Mode Ii
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