Stress Intensity Factors for a Randomly Located Arc-Shaped Crack in a Circular Disk in the Course of Rotation

2017 ◽  
Vol 52 (6) ◽  
pp. 760-767
Author(s):  
О. P. Datsyshyn ◽  
H. P. Marchenko ◽  
І. А. Rudavs’ka
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Circular Disk ◽  
Intensity Factors ◽  
Shaped Crack

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.

Stress Analysis of a Penny-Shaped Crack Located Between Two Spherical Cavities in an Infinite Solid

1980 ◽  
Vol 47 (4) ◽  
pp. 806-810 ◽  
Author(s):  
H. Hirai ◽  
M. Satake
Keyword(s):  
Stress Intensity ◽  
Stress Analysis ◽  
Stress Intensity Factors ◽  
Harmonic Functions ◽  
Linear Equations ◽  
Intensity Factors ◽  
Cylindrical Coordinates ◽  
Spherical Cavities ◽  
Penny Shaped Crack ◽  
Shaped Crack

The problem of a penny-shaped crack located between two spherical cavities in an infinite solid subjected to uniaxial loads is considered. Using transformations between harmonic functions in cylindrical coordinates and those in spherical ones, the problem is reduced to nonhomogeneous linear equations. The obtained equations are solved numerically and the influence of the two spherical cavities upon the stress-intensity factors at the penny-shaped crack tip is shown graphically.

A General Numerical Procedure for Extracting Mixed-Mode Stress Intensity Factors Along the Fronts of Three-Dimensional Nonplanar Cracks

2002 ◽  
Author(s):  
M. Gosz ◽  
R. Cammino
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Mixed Mode ◽  
Three Dimensional ◽  
Numerical Procedure ◽  
Intensity Factors ◽  
Hydrostatic Tension ◽  
Energy Integrals ◽  
Shaped Crack ◽  
Mode Stress

A numerical procedure is described for extracting mixed-mode stress intensity factors along the fronts of three-dimensional, nonplanar cracks embedded in solids. The mixed-mode stress intensity factors at points along the crack front are obtained by evaluating interaction energy integrals for three-dimensional, non-planar cracks. To assess the validity of the numerical procedure, two numerical examples are considered. First, we consider the problem of a non-planar, lens-shaped crack in an infinite solid subjected to hydrostatic tension. The numerical results are shown to be in excellent agreement with available analytical results. We then consider the case of a non-planar, warped elliptical crack surface, where to our knowledge no analytical solution exists, and the results are discussed.

scholarly journals Direct Computation of 3-D Stress Intensity Factors of Straight and Curved Planar Cracks with the P-Version Finite Element Method and Contour Integral Method

Materials ◽  
2021 ◽  
Vol 14 (14) ◽  
pp. 3949
Author(s):  
Jianming Zhang ◽  
Rui Xu ◽  
Yong He ◽  
Wensheng Yang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Integral Method ◽  
Contour Integral ◽  
Intensity Factors ◽  
Straight Crack ◽  
Shaped Crack ◽  
Element Method

This paper presents direct computations of 3-D fracture parameters including stress intensity factors (SIFs) and T-stress for straight and curved planar cracks with the p-version finite element method (P-FEM) and contour integral method (CIM). No excessive singular element or enrichment function is required for the computation. To demonstrate the accuracy and efficiency of the proposed approaches, several benchmark numerical models of 3-D planar straight and curved cracks with single and mixed-mode fractures are considered and analyzed: a through thickness edge straight crack in a homogeneous material, a through thickness inclined straight crack, a penny-shaped crack embedded in a cube and a central ellipse shaped crack in a homogeneous cube. Numerical results are analyzed and compared with analytical solutions and those reported by the extended finite element method (XFEM) and the scaled boundary finite element method (SBFEM) in the available literature. Numerical experiments show the accuracy, robustness and effectiveness of the present method.

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