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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Computational mechanics 1 (1986), S. 91-104 
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper is concerned with the elastostatic contact problem of a semi-infinite cylinder compressed against a layer lying on a rigid foundation. It is assumed that all the contacting surfaces are frictionless and that only compressive normal tractions can be transmitted through the interfaces. Upon loading the contact along the layer-foundation interface shrinks to a circular area whose radius is unknown. The analysis leads to a system of singular integral equations of the second kind. The integral equations are solved numerically and the contact pressures, extent of the contact area between the layer and the foundation, and the stress intensity factor round the edge of the cylinder are calculated for various material pairs.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Computational mechanics 3 (1988), S. 398-410 
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper considers the elastostatic plane problem of a finite strip. One end of the strip is perfectly bonded to a rigid support while the other is under the action of a uniform tensile load. Solution for the finite strip is obtained by considering an infinite strip containing a transverse rigid inclusion at the middle and two symmetrically located transverse cracks. The distance between the two cracks is equal to twice the length of the finite strip. In the limiting case when the rigid inclusion and the cracks approach the sides of the infinite strip, the region between one crack and the rigid inclusion becomes equivalent to the finite strip. Formulation of the problem is reduced to a system of three singular integral equations using the Fourier transforms. Numerical results for stresses and stress intensity factors are given in graphical form.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 14 (1978), S. 575-584 
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Résumé On considère le problème élastostatique et plan d'un feuillard infini comportant une fissure transversale. On suppose qu'un côté de la bande est parfaitement fixé à un support rigide tandis que l'autre côté est libre de contrainte. On formule le problème sous forme d'une équation intégrale singulière. On considère avec quelques détails la fissure interne, la fissure de coin, la fissure se terminant au support rigide et le cas de la bande complètement rompue. L'équation intégrale singulière est résolue numériquement en utilisant les schémas de collocation développés par Erdogan, Gupta et Cook. Le facteur d'intensité de contrainte qui peut être considéré comme le paramètre le plus important de rupture et le déplacement de surface de la fissure sont calculés pour diverses géométries de fissure; ils sont fournis sous une forme graphique.
    Notes: Abstract The elastostatic plane problem of an infinite strip containing a transverse crack is considered. It is assumed that one side of the strip is perfectly bonded to a rigid support whereas the other side is free of traction. The problem is formulated in terms of a singular integral equation. Internal crack, edge crack, crack terminating at the rigid support, and completely broken strip cases are considered in some detail. The singular integral equation is solved numerically by employing collocation schemes developed by Erdogan, Gupta and Cook. The stress intensity factor, which may be regarded as the most important fracture parameter, and the crack surface displacement are calculated for various crack geometries and given in graphical form.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 24 (1984), S. 163-178 
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Description / Table of Contents: Résumé On considère le problème de cisaillement élasto-statique anti-planaire de deux demi-espaces reliés par une couche infinie et comportant des fissures de fatigue transversales. On traite séparément, dans le détail, les cas suivants: trois fissures noyées, fissures se terminant à l'interface, couche complètement rompue et fissure dans la couche intermédiaire s'étendant dans les demi-espaces. Pour formuler le problème, on fait appel à la transformée de Fourier. En utilisant des conditions de type mixte sur le plan de la fissure, on peut réduire la formulation du problème à un système d'équations intégrales singulières à conditions aux limites de Cauchy simples ou généralisés. On étudie le comportement singulier de la solution dégagée aux points irréguliers des fissures. Les résultats numériques fournis dans le mémoire comportent les facteurs d'intensité de contrainte et les déplacements d'ouverture de la fissure pour des combinaisons de matériaux d'aluminium Epoxy et acier aluminium.
    Notes: Abstract The elasiostatic antiplane shear problem of two half spaces bonded through an infinite layer all having transverse fatigue cracks is considered. The cases of three imbedded cracks, cracks terminating at the interfaces, completely broken layer, and a crack in the layer spreading into the half spaces are separately treated in detail. The Fourier transform is used to formulate the problem. Use of the mixed type conditions on the crack plane reduces the formulation to a system of singular integral equations with simple or generalized Cauchy kernels. Singular behavior of the solution at the irregular points on cracks is investigated. Numerical results given in the paper include stress intensity factors and crack opening displacements for material pairs of aluminum-epoxy and steel-aluminum.
    Type of Medium: Electronic Resource
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  • 5
    Publication Date: 1978-12-01
    Print ISSN: 0376-9429
    Electronic ISSN: 1573-2673
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Springer
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  • 6
    Publication Date: 1984-03-01
    Print ISSN: 0376-9429
    Electronic ISSN: 1573-2673
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Springer
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  • 7
    Publication Date: 2019-06-27
    Description: The effect of the adhesive layer on crack propagation in composite materials is investigated. The composite medium consists of parallel load carrying laminates and buffer strips arranged periodically and bonded with thin adhesive layers. The strips, assumed to be isotropic and linearly elastic, contain symmetric cracks of arbitrary lengths located normal to the interfaces. Two problems are considered: (1) thin adhesive layers are approximated by uncoupled tension and shear springs distributed along the interfaces of the strips for which only the case of internal cracks can be treated rigorously; (2) broken laminates and the true singular behavior in the presence of the adhesive layer are studied. The adhesive is then treated as an isotropic, linearly elastic continuum. General expressions for field quantities are obtained in terms of infinite Fourier integrals. These expressions give a system of singular integral equations in terms of the crack surface displacement derivatives. By using appropriate quadrature formulas, the integral equations reduce to a system of linear algebraic equations which are solved numerically.
    Keywords: COMPOSITE MATERIALS
    Type: NASA-CR-145064
    Format: application/pdf
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  • 8
    Publication Date: 2019-06-27
    Description: The effect of the thickness and the elastic properties of the adhesive layers in laminated structures is considered. The structure is assumed to consist of two sets of periodically arranged dissimilar layers which may contain cracks perpendicular to the interfaces. The crack problem is solved under the assumption of plane strain or generalized plane stress and by using two different models for the adhesive layers. In the first model the adhesive layer is approximated by a combination of tensile and shear springs. In the second the adhesive layer is considered to be an elastic continuum, hence involving no approximating assumptions. The results regarding the stress intensity and stress concentration factors obtained from these two models and that found by ignoring the adhesive layers are presented and some comparisons are made.
    Keywords: STRUCTURAL MECHANICS
    Type: ASME PAPER 77-WA/MAT-4
    Format: text
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