A numerical mode I weight function for calculating stress intensity factors of three-dimensional cracked bodies

1996 ◽  
Vol 76 (2) ◽  
pp. 169-191 ◽  
Author(s):  
Leslie Banks-Sills ◽  
Elimor Makevet
Keyword(s):  
Stress Intensity ◽  
Weight Function ◽  
Stress Intensity Factors ◽  
Three Dimensional ◽  
Mode I ◽  
Intensity Factors

scholarly journals Boundary Weight Functions for Cracks in Three-Dimensional Finite Bodies

1999 ◽  
Vol 15 (1) ◽  
pp. 17-26
Author(s):  
Chien-Ching Ma ◽  
I-Kuang Shen
Keyword(s):  
Stress Intensity ◽  
Weight Function ◽  
Stress Intensity Factors ◽  
Arbitrary Shape ◽  
Function Method ◽  
Three Dimensional ◽  
Weight Functions ◽  
Mode I ◽  
Intensity Factors ◽  
Arbitrary Loading

ABSTRACTAn efficient boundary weight function method for the determination of mode I stress intensity factors in a three-dimensional cracked body with arbitrary shape and subjected to arbitrary loading is presented in this study. The functional form of the boundary weight functions are successfully demonstrated by using the least squares fitting procedure. Explicit boundary weight functions are presented for through cracks in rectangular finite bodies. If the stress distribution of a cut out rectangular cracked body from any arbitrary shape of cracked body subjected to arbitrary loading is determined, the mode I stress intensity factors for the cracked body can be obtained from the predetermined boundary weight functions by a simple integration. Comparison of the calculated results with some solutions by other workers from the literature confirms the efficiency and accuracy of the proposed boundary weight function method.

scholarly journals Calculation of Stress Intensity Factors for Elliptical Cracks in Finite Bodies by Using the Boundary Weight Function Method

1999 ◽  
Vol 121 (2) ◽  
pp. 181-187 ◽  
Author(s):  
C.-C. Ma ◽  
I-K. Shen
Keyword(s):  
Stress Intensity ◽  
Weight Function ◽  
Stress Intensity Factors ◽  
Arbitrary Shape ◽  
Function Method ◽  
Weight Functions ◽  
Mode I ◽  
Intensity Factors ◽  
Weight Function Method ◽  
Arbitrary Loading

In this study, mode I stress intensity factors for a three-dimensional finite cracked body with arbitrary shape and subjected to arbitrary loading is presented by using the boundary weight function method. The weight function is a universal function for a given cracked body and can be obtained from any arbitrary loading system. A numerical finite element method for the determination of weight function relevant to cracked bodies with finite dimensions is used. Explicit boundary weight functions are successfully demonstrated by using the least-squares fitting procedure for elliptical quarter-corner crack and embedded elliptical crack in parallelepipedic finite bodies. If the stress distribution of a cut-out parallelepipedic cracked body from any arbitrary shape of cracked body subjected to arbitrary loading is determined, the mode I stress intensity factors for the cracked body can be obtained from the predetermined boundary weight functions by a simple surface integration. Comparison of the calculated results with some available solutions in the published literature confirms the efficiency and accuracy of the proposed boundary weight function method.

Three-Dimensional Mode Separation to Obtain Stress Intensity Factors

2006 ◽  
Author(s):  
Pei Gu ◽  
R. J. Asaro
Keyword(s):  
Stress Intensity ◽  
Crack Propagation ◽  
Stress Intensity Factors ◽  
Three Dimensional ◽  
Integral Approach ◽  
Mode I ◽  
Mode Ii ◽  
Intensity Factors ◽  
Mode Iii ◽  
Mode Separation

For mixed-mode loading at a crack tip under small-scale yielding condition, mode I, mode II and mode III stress intensity factors control the crack propagation. This paper discusses three-dimensional mode separation to obtain the three stress intensity factors using the interaction integral approach. The 2D interaction integral approach to obtain mode I and mode II stress intensity factors is derived to 3D arbitrary crack configuration for mode I, mode II and mode III stress intensity factors. The method is implemented in a finite element code using domain integral method and numerical examples show good convergence for the domains around the crack tip. A complete solution for the three stress intensity factors is obtained for a bar with inclined crack face to the cross-section from numerical calculations. The solution for the bar is plotted into curves in terms of a set of non-dimensional parameters for practical engineering purpose. From the solution, mode mixity along the crack front and its implication to the direction of crack propagation is discussed.

A Photoelastic Determination of Stress Intensity Factors for Corner Cracks in a Bolted Joint

1997 ◽  
Vol 119 (4) ◽  
pp. 276-280 ◽  
Author(s):  
S. Gu¨ngo¨r ◽  
E. A. Patterson
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Three Dimensional ◽  
Freezing Process ◽  
Mode I ◽  
Bolted Joint ◽  
Intensity Factors ◽  
Double Shear ◽  
Corner Cracks

Three-dimensional photoelasticity was used to measure mode I stress intensity factors of corner cracks in a double-shear bolted joint. A model of the joint assembly was manufactured from a photoelastic material and three different corner cracks were introduced using a cutting wheel. After the stress freezing process, slices along the crack fronts were cut and analyzed using three different photoelastic procedures. There was good correlation between the methods of analysis. Stress intensity factors of these cracks were found to vary along the crack front with a maximum at the bore of the hole and a minimum on the surface of the plate. This implies that the cracks are likely to grow more rapidly along the bore.

Determination of mode I stress intensity factors in surface-flawed plates by scattered-light photoelasticity

1983 ◽  
Vol 18 (3) ◽  
pp. 173-176 ◽  
Author(s):  
J W Holmes ◽  
R A Holmes ◽  
J C Conway
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Scattered Light ◽  
Three Dimensional ◽  
Mode I ◽  
Tension Stress ◽  
Intensity Factors ◽  
Element Analysis ◽  
Dimensional Finite Element ◽  
Three Dimensional Finite Element

The scattered-light photoelastic technique was utilized to determine Mode I stress intensity factors associated with a semi-elliptical surface flaw in a plate subjected to uniaxial tension. Stress intensity factors were experimentally determined for the point of maximum flaw penetration and the point of intersection of the flaw border with the free surface of the plate. Experimental results are compared to those obtained in a three-dimensional finite element analysis with reasonable agreement being shown.

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