Stress Analysis for a Double Lap Joint

1975 ◽  
Vol 42 (2) ◽  
pp. 353-357 ◽  
Author(s):  
L. M. Keer ◽  
K. Chantaramungkorn
Keyword(s):  
Stress Intensity ◽  
Stress Analysis ◽  
Integral Equations ◽  
Singular Integral ◽  
Stress Intensity Factors ◽  
Integral Transform ◽  
Singular Integral Equations ◽  
Geometrical Parameters ◽  
Lap Joint ◽  
Intensity Factors

The problem of a double lap joint is analyzed and solved by using integral transform techniques. Singular integral equations are deduced from integral transform solutions using boundary and continuity conditions appropriate to the problem. Numerical results are obtained for the case of identical materials for the cover and central layers. Stress-intensity factors are calculated and presented in the form of a table and contact stresses are shown in the form of curves for various values of geometrical parameters.

Transient Stress Intensity Factors of an Interfacial Crack Between Two Dissimilar Anisotropic Half-Spaces, Part 2: Fully Anisotropic Materials

1984 ◽  
Vol 51 (4) ◽  
pp. 780-786 ◽  
Author(s):  
A.-Y. Kuo
Keyword(s):  
Stress Intensity ◽  
Integral Equations ◽  
Singular Integral ◽  
Stress Intensity Factors ◽  
Jacobi Polynomials ◽  
Mathematical Problem ◽  
Stress Singularity ◽  
Interfacial Crack ◽  
Singular Integral Equations ◽  
Intensity Factors

Dynamic stress intensity factors for an interfacial crack between two dissimilar elastic, fully anisotropic media are studied. The mathematical problem is reduced to three coupled singular integral equations. Using Jacobi polynomials, solutions to the singular integral equations are obtained numerically. The orders of stress singularity and stress intensity factors of an interfacial crack in a (θ(1)/θ(2)) composite solid agree well with the finite element solutions.

Stress Analysis for Bonded Layers

1974 ◽  
Vol 41 (3) ◽  
pp. 679-683 ◽  
Author(s):  
L. M. Keer
Keyword(s):  
Stress Intensity ◽  
Stress Analysis ◽  
Singular Integral ◽  
Stress Intensity Factors ◽  
Numerical Scheme ◽  
Singular Integral Equations ◽  
Integral Transforms ◽  
Theory Of Elasticity ◽  
Intensity Factors ◽  
Plane Theory Of Elasticity

The problem of a line bond between two layers is solved by techniques appropriate to the plane theory of elasticity. Integral transforms are used to reduce the problem to singular integral equations. Numerical results are obtained for the case of identical layers and the numerical scheme of Erdogan and Gupta proved to be effective for this case. Stress-intensity factors and bond stresses for several types of loading are calculated.

Longitudinal Shear of a Compound Elastic Half-Space Weakened by Cracks

2014 ◽  
Vol 1020 ◽  
pp. 286-290 ◽  
Author(s):  
Karo L. Aghayan ◽  
Edvard Kh. Grigoryan ◽  
Vahan G. Zakaryan
Keyword(s):  
Stress Intensity ◽  
Stress Intensity Factors ◽  
Integral Transform ◽  
Infinite Plate ◽  
Singular Integral Equations ◽  
Geometrical Parameters ◽  
Antiplane Deformation ◽  
Intensity Factors ◽  
Special Cases ◽  
Deformation State

The problem of fracture mechanics concerning contact interaction between elastic infinite plate and elastic compound semi–space is investigated. Plate and semi–space are weakened by finite through cracks, which are perpendicular to surface of heterogeneity in the same plane. Assuming that structure is deformed in antiplane deformation state it is required to determine the contact stress distribution and fracture stress intensity factors dependence of structure heterogeneity and geometrical parameters. Using the Fourier integral transform the problem is reduced to find the solutions of system of two singular integral equations. System solutions behavior at integration domain endpoints is investigated for all cases. In some special cases of cracks location, equations kernels can also contain fixed singularities. An efficient numerical method to solve such equations is suggested. Numerical calculations are done and results are shown in tables and graphs, which express contact stresses and stress intensity factors dependence on problem parameters and simultaneously reveal dangerous cases of fracture of the structure.

Boundary-Singular Integral Equation Method to Calculate the Bending Center and Stress Intensity Factors of Cracked Cylinder under Saint-Venant Bending

2007 ◽  
Vol 348-349 ◽  
pp. 197-200
Author(s):  
Xin Yan Tang
Keyword(s):  
Integral Equation ◽  
Stress Intensity ◽  
Singular Integral Equation ◽  
Integral Equations ◽  
Cross Section ◽  
Singular Integral ◽  
Stress Intensity Factors ◽  
Singular Integral Equations ◽  
Intensity Factors ◽  
Cracked Cylinder

Using single crack solution and regular plane harmonic function, the Saint-Venant bending problem of a cracked cylinder with general cross section is formulated in terms of two sets of boundary-singular integral equations, which can be solved by using the methods for combination of boundary element and singular integral equation methods. The concept of bending center used in strength of materials is extended to this bending problem. Theoretical formulae to calculate the bending center and stress intensity factors in cracked cylinder are derived and expressed by the solutions of the integral equations. Based on these results, some numerical examples are given for different configurations of the cylinder cross section as well as the crack parameters.

scholarly journals Biaxial Loading of a Plate Containing a Hole and Two Co-Axial Through Cracks

2018 ◽  
Vol 12 (3) ◽  
pp. 237-242
Author(s):  
Heorgij Sulym ◽  
Viktor Opanasovych ◽  
Mykola Slobodian ◽  
Yevhen Yarema
Keyword(s):  
Stress Intensity ◽  
Closed Form ◽  
Integral Equations ◽  
Singular Integral ◽  
Linear Elasticity ◽  
Stress Intensity Factors ◽  
Biaxial Loading ◽  
Isotropic Plate ◽  
Singular Integral Equations ◽  
Intensity Factors

Abstract The paper presents the solution linear elasticity problem for an isotropic plate weakened by a hole and two co-axial cracks. The plate is exerted by uniform traction at infinity. The corresponding 2D problem is solved by the method of Kolosova-Muskhelishvili complex potentials. The method implies reduction of the problem to simultaneous singular integral equations (SIE) for the functions defined the region of the cracks and hole. For particular case the solution the SIE is obtained analytically in a closed form. A thorough analysis of the stress intensity factors (SIF) is carried out for various cases of the hole shape: penny-shaped, elliptical and rectangular.

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