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.

Crack-Tip, Stress-Intensity Factors for Plane Extension and Plate Bending Problems

1962 ◽  
Vol 29 (2) ◽  
pp. 306-312 ◽  
Author(s):  
G. C. Sih ◽  
P. C. Paris ◽  
F. Erdogan
Keyword(s):  
Stress Intensity ◽  
Complex Variable ◽  
Stress Intensity Factors ◽  
Plate Bending ◽  
Intensity Factors ◽  
Variable Approach ◽  
Crack Tips ◽  
Arbitrary Plane ◽  
Fracture Theory ◽  
Bending Problems

A complex variable method for evaluating the strength of stress singularities at crack tips in plane problems and plate bending problems is derived. The results of these evaluations give Irwin’s stress-intensity factors for plane problems and analogous quantities for bending problems, a form familiar to the practitioner of “fracture mechanics.” The methods derived are integrated with the complex variable approach of Muskhelishvili to obtain the stress-intensity factors for various basic examples applicable to the extension and bending of plates with through-the-thickness cracks. The results suggest the possibility of extension of the Griffith-Irwin fracture theory to arbitrary plane extensional and/or bending problems in plates.

Analysis of Dynamic Stress Intensity Factors for Cracked Stiffened Plates Based on Extended FE Method

2020 ◽  
Vol 162 (A1) ◽  
Author(s):  
Y Peng ◽  
P Yang
Keyword(s):  
Stress Intensity ◽  
Crack Length ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Mesh Size ◽  
Stiffened Plates ◽  
Intensity Factors ◽  
Time Step ◽  
Dynamic Stress Intensity Factors ◽  
Crack Location

The dynamic stress intensity factors (DSIFs) for cracked stiffened plates considering the actual boundary conditions in ship structures are analyzed by the extended finite element method (XFEM). The sensitivity of numerical results with respect to mesh size and time step is discussed. Some other influential parameters including stiffener height, crack location and crack length are also analyzed. The numerical results show that the convergence is affected by mesh size and time step. By using XFEM, singular elements are not needed at the crack front and moderately refined meshes can achieve good accuracy. The height of the stiffener and crack location significantly effect DSIFs, while the crack length slightly influences the DSIFs.

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 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.

ANALYSIS OF DYNAMIC STRESS INTENSITY FACTORS FOR CRACKED STIFFENED PLATES BASED ON EXTENDED FE METHOD

2021 ◽  
Vol 162 (A1) ◽  
Author(s):  
Y Peng ◽  
P Yang
Keyword(s):  
Stress Intensity ◽  
Crack Length ◽  
Stress Intensity Factors ◽  
Dynamic Stress ◽  
Mesh Size ◽  
Stiffened Plates ◽  
Intensity Factors ◽  
Time Step ◽  
Dynamic Stress Intensity Factors ◽  
Crack Location

The dynamic stress intensity factors (DSIFs) for cracked stiffened plates considering the actual boundary conditions in ship structures are analyzed by the extended finite element method (XFEM). The sensitivity of numerical results with respect to mesh size and time step is discussed. Some other influential parameters including stiffener height, crack location and crack length are also analyzed. The numerical results show that the convergence is affected by mesh size and time step. By using XFEM, singular elements are not needed at the crack front and moderately refined meshes can achieve good accuracy. The height of the stiffener and crack location significantly effect DSIFs, while the crack length slightly influences the DSIFs.

Stress Intensity Factors of Pipe-In-Pipes With Circumferential Through-Wall Cracks Based on Elastic Finite Element Analyses

2017 ◽  
Author(s):  
Se-Chang Kim ◽  
Jae-Boong Choi ◽  
Nam-Su Huh
Keyword(s):  
Finite Element ◽  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Bending Moment ◽  
Economic Damage ◽  
Intensity Factors ◽  
Cross Sectional ◽  
3 Dimensional ◽  
Crack Location ◽  
Axial Tension

Any defects and cracks in pipe-in-pipes (PIPs) applied to deep-water and harsh environment are potential threats that can cause terrible economic damage or environmental pollution as triggering failures. In the present study, stress intensity factors (SIFs) of PIPs with circumferential through-wall cracks (TWCs) were investigated via detailed 3-dimensional (3-D) elastic finite element (FE) analyses. In terms of the crack location, the cracks are postulated in the inner pipe which is considered as mainly important part to assess the integrity of PIPs. In the present FE analyses, the effects of cross-sectional shapes of both inner and outer pipes on the SIFs of PIPs were systematically evaluated. As for loading conditions, internal pressure, axial tension and bending moment were considered. The FE results of the SIFs of PIPs were also compared with the existing solution of single-walled pipes with circumferential TWCs to evaluate the restraint effect by the outer pipe on the SIFs of PIPs, where the dimensions of single-walled pipes are assumed to be identical to those of the inner pipe of PIPs.

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