The Stress-Intensity Factors for Four Griffith-Cracks Opened by Asymmetrical Force at Crack Faces in Isotropic Infinite Medium

2017 ◽  
Vol 52 (5) ◽  
pp. 297-310
Author(s):  
Devasheesh Mishra ◽  
A.K.Agra wal ◽  
A.P.Dwi vedi
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Infinite Medium ◽  
Intensity Factors ◽  
Crack Faces

Self-Similar Crack Expansion Method for Three-Dimensional Crack Analysis

1997 ◽  
Vol 64 (4) ◽  
pp. 729-737 ◽  
Author(s):  
Yonglin Xu ◽  
B. Moran ◽  
T. Belytschko
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Numerical Solutions ◽  
Crack Surface ◽  
Three Dimensional ◽  
Expansion Method ◽  
Infinite Medium ◽  
Boundary Integral ◽  
Intensity Factors ◽  
Self Similar

The self-similar crack expansion method is developed to calculate stress intensity factors for three-dimensional cracks in an infinite medium or semi-infinite medium by the boundary integral element technique. With this method, the stress intensity factors at crack tips are determined by calculating the crack-opening displacements over the crack surface, and the crack expansion rate, which is related to the crack energy release rate, is estimated by using a technique based on self-similar (virtual) crack extension. For elements on the crack surface, regular integrals and singular integrals are evaluated based on closed-form expressions, which improves the accuracy. Examples show that this method yields very accurate results for stress intensity factors of penny-shaped cracks and elliptical cracks in the full space, with errors of less than one percent as compared with exact solutions. The stress intensity factors of subsurface cracks are in good agreement with other numerical solutions.

scholarly journals Short Subsurface Cracks Under Conditions of Slip and Stick Caused by a Moving Compressive Load

1985 ◽  
Vol 52 (4) ◽  
pp. 811-817 ◽  
Author(s):  
S. Sheppard ◽  
J. R. Barber ◽  
M. Comninou
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Coulomb Friction ◽  
Compressive Load ◽  
Rolling Contact ◽  
Intensity Factors ◽  
Subsurface Cracks ◽  
Spalling Failure ◽  
Load Location ◽  
Crack Faces

The mechanism of spalling failure in rolling contact is modeled by an elastic half-plane with a subsurface crack parallel to the surface, loaded by a compressive normal force which moves over the surface. Coulomb friction at the crack faces reduces the Mode II Stress Intensity Factors and results in a number of history-dependent slip-stick configurations. The formulation used to study these involves a singular integral equation in two variables which must be solved numerically, and because of the history dependence, requires in an incremental solution. Only crack lengths and coefficients of friction that result in a maximum of two slip or stick zones for any load location are considered in this paper. It is found that the maximum range of stress intensity factors occurs at the trailing crack tip.

scholarly journals Bending by Concentrated Force of a Cantilever Strip Having a Through-thickness Crack Perpendicular to Its Axis

2020 ◽  
Vol 10 (6) ◽  
pp. 2037 ◽  
Author(s):  
Mykhaylo Delyavskyy ◽  
Viktor Opanasovych ◽  
Oksana Bilash
Keyword(s):  
Stress Intensity ◽  
Analytical Solution ◽  
Contact Area ◽  
Complex Variable ◽  
Stress Intensity Factors ◽  
Intensity Factors ◽  
Concentrated Force ◽  
Crack Location ◽  
Perfect Contact ◽  
Crack Faces

The article focuses on the bending problem for a cantilever beam with a straight through-thickness crack, perpendicular to its axis under bending by concentrated force. Depending on the crack location in relation to the axis, crack faces may be in three states: perfect contact, particular contact, or noncontact. Using the theory of functions of complex variable and complex potentials, the considered problem was reduced to a linear conjunction one. An analytical solution of the problem was obtained. In the case of particular contact, the length of the contact area and stress intensity factors were determined. The ultimate force that causes beam destruction was determined. Numerical analyses of the problem were also performed.

scholarly journals Conservation laws in anisotropic elasticity II. Extension and application to thermoelasticity

1993 ◽  
Vol 443 (1917) ◽  
pp. 153-161 ◽  
Keyword(s):  
Stress Intensity ◽  
Conservation Laws ◽  
Stress Intensity Factors ◽  
Thermal Conditions ◽  
Anisotropic Elasticity ◽  
Integral Representations ◽  
Intensity Factors ◽  
Closed Form Solutions ◽  
Finite Crack ◽  
Crack Faces

The conservation laws in anisotropic elasticity developed in an accompanying paper are extended to include steady-state thermal elasticity. The conservation laws proposed in this paper lead to integrals that do not contain area integration and are path-independent. In addition to the extended J - and M -integrals of J. K. Knowels and E. Sternberg, also derived are path-independent contour integrals that yield directly the stress intensity factors when evaluated over contours enclosing a crack. The path-independent integral representations of the stress intensity factors are used to obtain closed form solutions for a finite crack in an unbounded thermoelastic medium subject to arbitrary thermal conditions on the crack faces.

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