Elastic Field of a Partially Debonded Elliptic Inhomogeneity in an Elastic Matrix (Plane-Strain)

1985 ◽  
Vol 52 (4) ◽  
pp. 835-840 ◽  
Author(s):  
B. L. Karihaloo ◽  
K. Viswanathan
Keyword(s):  
Stress Intensity ◽  
Stress Field ◽  
Plane Strain ◽  
Elastic Field ◽  
Intensity Factors ◽  
Common Boundary ◽  
Equivalent Inclusion ◽  
General Plane ◽  
Derivatives Of ◽  
Elliptic Inhomogeneity

The problem of the stress-field of an elliptic inhomogeneity that has debonded over an arc of its common boundary with a different elastic material is studied under plane-strain conditions. Eshelby’s method of equivalent inclusion is employed. The “equivalence relation” is solved by a method that is applicable to any general plane-strain situation. Further, the relative displacements of the debonded faces are derived from the discontinuous behavior of individual terms associated with the derivatives of Green’s function. Numerical results are presented for the stress-intensity factors at the tips of the debonded arc and the relative displacements across the debond.

Elastic Field of an Elliptic Inhomogeneity With Debonding Over an Arc (Antiplane Strain)

1985 ◽  
Vol 52 (1) ◽  
pp. 91-97 ◽  
Author(s):  
B. L. Karihaloo ◽  
K. Viswanathan
Keyword(s):  
Stress Intensity ◽  
Elastic Material ◽  
Stress Intensity Factors ◽  
Elastic Field ◽  
Numerical Results ◽  
Antiplane Strain ◽  
Intensity Factors ◽  
Common Boundary ◽  
Equivalent Inclusion ◽  
Elliptic Inhomogeneity

This paper describes the elastic field of an elliptic inhomogeneity that has debonded over an arc of its common boundary with a different elastic material in which it is embedded. Eshelby’s method of equivalent inclusion with a stress-free eigens train is employed. The solution is facilitated by the properties of Green’s functions. Only the antiplane strain case is treated for illustrating the procedure. Numerical results are presented for the stress intensity factors at the tips of the debonded arc, as well as for the relative displacements across the debond.

Use of automated photoelasticity to determine stress intensity factors of bimaterial joints

2005 ◽  
Vol 40 (8) ◽  
pp. 785-800 ◽  
Author(s):  
B Zuccarello ◽  
S Ferrante
Keyword(s):  
Stress Intensity ◽  
Stress Field ◽  
Stress Intensity Factors ◽  
External Loading ◽  
Intensity Factors ◽  
Singular Stress ◽  
Full Field ◽  
Basic Law ◽  
Singular Stress Field ◽  
Element Approach

A new systematic experimental procedure has been developed to obtain the stress intensity factors governing the singular stress field that occurs near the intersection between the interface and free edges of bimaterial joints. A preliminary theoretical study of the singular stress field is carried out by the well-known Airy stress function method. The obtained stress laws are properly combined with the basic law of photoelasticity in order to define a procedure that permits the zone dominated by the singularity to be located and the stress intensity factors (SIFs) to be computed on the basis of full field data provided from automated photoelasticity. In particular, a systematic error analysis is used to determine the model zone where the experimental data have to be collected in order to obtain accurate SIF evaluation. As an example, the proposed method is applied to determine the SIFs of various aluminium/ PSM-1 specimens under different external loading conditions using Fourier transform photoelasticity. The experimental results have been compared to those obtained by an independent procedure, based on a boundary element approach, in order to validate the accuracy of the proposed procedure.

The Effects of Residual Stress Distribution and Component Geometry on the Stress Intensity Factor of Surface Cracks

2011 ◽  
Vol 133 (1) ◽  
Author(s):  
Katsumasa Miyazaki ◽  
Masahito Mochizuki
Keyword(s):  
Residual Stress ◽  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Stress Distribution ◽  
Intensity Factor ◽  
Stress Field ◽  
Crack Growth ◽  
Residual Stress Distribution ◽  
Surface Cracks ◽  
Intensity Factors

The stress intensity factor estimated by the appropriate modeling of components is essential for the evaluation of crack growth behavior in stress corrosion cracking. For the appropriate modeling of a welded component with a crack, it is important to understand the effects of residual stress distribution and the geometry of the component on the stress intensity factor of the surface crack. In this study, the stress intensity factors of surface cracks under two assumed residual stress fields were calculated. As residual stress field, a bending type stress field (tension-compression) and a self-equilibrating stress field (tension-compression-tension) through the thickness were assumed, respectively. The geometries of the components were plate and piping. The assumed surface cracks for those evaluations were a long crack in the surface direction and a semi-elliptical surface crack. In addition, crack growth evaluations were conducted to clarify the effects of residual stress distribution and the geometry of the component. Here, the crack growth evaluation means simulating increments of crack depth and length using crack growth properties and stress intensity factors. The effects of residual stress distribution and component geometry on the stress intensity factor of surface cracks and the appropriate modeling of cracked components are discussed by comparing the stress intensity factors and the crack growth evaluations for surface cracks under residual stress fields.

Effects of the Length of Carbon Nanotube (CNT) in CNT Reinforced Composites

2006 ◽  
Vol 324-325 ◽  
pp. 855-858
Author(s):  
Q. Wang ◽  
X. F. Sun ◽  
Kimihiro Ozaki
Keyword(s):  
Fracture Toughness ◽  
Carbon Nanotube ◽  
Stress Intensity ◽  
Stress Field ◽  
Stress Intensity Factors ◽  
Reinforced Composites ◽  
Intensity Factors ◽  
Singular Stress ◽  
Singular Stress Field

In this paper, the strength of the singular stress field near the ends of the CNTs in composites was analyzed to clarify the effects of the CNT length on stress filed in the CNT reinforced composites when studying the fracture toughness. The singular stress field was separated into two types of singularities, symmetric and skew-symmetric, near the ends of CNTs according to the deformation and loading types. The stress intensity factors of the singular stress field were calculated for these two types of singularities. The effects of the CNT length in CNT reinforced composites on these stress intensity factors were investigated.

The edge-cracked circular disc under symmetric pin-loading

1979 ◽  
Vol 85 (3) ◽  
pp. 523-538 ◽  
Author(s):  
R. D. Gregory
Keyword(s):  
Stress Intensity ◽  
Stress Field ◽  
Test Specimen ◽  
Edge Crack ◽  
Standard Test ◽  
Circular Disc ◽  
Crack Mouth ◽  
Intensity Factors ◽  
Point Forces ◽  
Image Position

A circular disc of radius a, made of homogeneous, isotropic, linearly elastic material, contains a radial edge crack of length b(0 < b < 2a). The disc is in equilibrium in a state of generalized plane stress under various loadings, which are motivated by the fact that this geometry is to become a standard test specimen configuration in the fracture testing of materials.The first cases considered are those in which the disc is loaded by either (i) opposing point forces P normal to the crack, or (ii) opposing point couples M, in each case acting at the crack mouth. The problem of determining the resulting stress field throughout the disc is solved analytically in closed form in each case, and the respective stress intensity factors are given exactly bywhere K+(0), K+(i) are constants whose values areK+(0) = 0.966528…,K+(i) = 0.355715…,correct to 6 decimal places.

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