An Inverse Method for the Determination of Thermal Stress-Intensity Factors Under Arbitrary Thermal-Shocks

2008 ◽  
Vol 130 (4) ◽  
Author(s):  
J. Meeker ◽  
A. E. Segall ◽  
E. Gondar
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Crack Opening ◽  
The Body ◽  
Temperature History ◽  
Transient Temperature ◽  
Intensity Factors ◽  
Thermal Boundary Conditions ◽  
Transient Temperature Distribution ◽  
Single Temperature

The analysis of stress-intensity factors is of immense importance when designing vessels, pipes, and end-caps as well as supporting structures and plates seen in high-temperature applications. Given this importance and the difficulty of measuring actual thermal boundary conditions, a generalized series based on a new and infinitely differentiable polynomial was employed to inversely determine the transient temperature distribution in a semi-infinite slab using only a single temperature history. These temperature distributions were in turn used to find the potential crack-opening stresses throughout the body. Using the found stresses and a weight-function approach, stress-intensity factors were then determined for both edge and semi-elliptical cracks under an arbitrary thermal-shock. When compared to other methods for various thermal scenarios, the method showed good agreement for both edge- and semi-elliptical surface cracks.

Three-Dimensional Analysis of Cracking Through the Boundary of a Two-Phase Material

1989 ◽  
Vol 56 (4) ◽  
pp. 850-857 ◽  
Author(s):  
M. T. Hanson ◽  
W. Lin ◽  
L. M. Keer
Keyword(s):  
Stress Intensity ◽  
Phase Boundary ◽  
Stress Intensity Factors ◽  
Crack Opening ◽  
Three Dimensional ◽  
Singular Integral Equations ◽  
The Body ◽  
Intensity Factors ◽  
Two Phase ◽  
Penny Shaped Crack

The penetration through a two-phase boundary by a biplanar (kinked) crack of arbitrary shape is considered in this paper. The two-phase boundary is modeled as the interface between two perfectly-bonded elastic, isotropic, homogeneous half spaces with different elastic constants. The planar crack on either side of the interface may be arbitrarily orientated with respect to the interface boundary. The body-force method is used to derive a set of coupled two-dimensional singular integral equations which are solved numerically. The solution yields the three crack opening displacements as well as the three modes of stress intensity factors along the crack contour. Numerical results are given for a penny-shaped crack symmetrically oriented with respect to the interface. Mode I stress intensity factors are given for the biplanar crack that experiences a kink when passing through the interface.

Interface Crack in a Three-Phase Composite Constitutive Model

1991 ◽  
Vol 58 (2) ◽  
pp. 428-434 ◽  
Author(s):  
H. A. Luo ◽  
Y. Chen
Keyword(s):  
Stress Intensity ◽  
Interface Crack ◽  
Stress Intensity Factors ◽  
Crack Opening ◽  
Material Model ◽  
Complex Stress ◽  
Intensity Factors ◽  
Reinforced Composite ◽  
Three Phase ◽  
Shaped Crack

An arc-shaped crack in fiber-reinforced composite material is the subject of this paper. A three-phase composite cylinder is taken as the material model to take into account the effect of surrounding fibers. Using Muskhelishvili’s complex variable method, an exact elastic solution is derived based on the conventional crack opening assumption. The complex stress intensity factors for the interface crack, in the sense defined by Hutchinson, Mear, and Rice, are determined. Some numerical examples are given. It is shown that, as the volume concentration of the fiber is increased, the magnitude of the complex stress intensity factors varies considerably.

Part-Elliptical Cracks Emanating From Open and Loaded Holes in Plates

1979 ◽  
Vol 101 (1) ◽  
pp. 12-17 ◽  
Author(s):  
T. E. Kullgren ◽  
F. W. Smith
Keyword(s):  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Crack Opening ◽  
Plate Thickness ◽  
Hole Diameter ◽  
Elastic Analysis ◽  
Intensity Factors ◽  
Linear Elastic ◽  
Elliptical Cracks

A linear elastic analysis using the finite element-alternating method is conducted for problems of single semi-elliptical and double quarter-elliptical cracks near fastener holes. Mode-one stress intensity factors are presented along the crack periphery for cases of open and loaded holes and crack opening displacements are calculated. Results are shown for a variety of crack geometries and loading conditions and for two ratios of hole diameter to plate thickness.

scholarly journals Stress Analysis and Stress-Intensity Factors for Finite Geometry Solids Containing Rectangular Surface Cracks

1977 ◽  
Vol 44 (3) ◽  
pp. 442-448 ◽  
Author(s):  
J. P. Gyekenyesi ◽  
A. Mendelson
Keyword(s):  
Stress Intensity ◽  
Displacement Field ◽  
Stress Intensity Factors ◽  
Surface Crack ◽  
Crack Opening ◽  
Crack Depth ◽  
Elastic Equilibrium ◽  
Finite Geometry ◽  
Surface Cracks ◽  
Intensity Factors

The line method of analysis is applied to the Navier-Cauchy equations of elastic equilibrium to calculate the displacement field in a finite geometry bar containing a variable depth rectangular surface crack under extensionally applied uniform loading. The application of this method to these equations leads to coupled sets of simultaneous ordinary differential equations whose solutions are obtained along sets of lines in a discretized region. Using the obtained displacement field, normal stresses, and the stress-intensity factor variation along the crack periphery are calculated for different crack depth to bar thickness ratios. Crack opening displacements and stress-intensity factors are also obtained for a through-thickness, center-cracked bar with variable thickness. The reported results show a considerable potential for using this method in calculating stress-intensity factors for commonly encountered surface crack geometries in finite solids.

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