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  • 1980-1984
  • 1975-1979  (25)
  • 1979  (18)
  • 1976  (7)
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  • 1980-1984
  • 1975-1979  (25)
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  • 1
    Electronic Resource
    Electronic Resource
    Numerical inversion of Mellin transforms (1976)
    Springer
    BIT 16 (1976), S. 313-321 
    Details
    ISSN: 1572-9125
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A method is presented for the numerical inversion of Mellin transforms in which the inverse is obtained as an expansion in terms of Laguerre polynomials. The coefficients of this expansion are obtained as linear combinations of values of the transformed function or, equivalently, in terms of forward differences of this function. Thus, the Mellin transform of the series can be written as a forward interpolation series. Consequently the error of the numerical inversion procedure can be estimated. The practical advantage of the method is that values are needed for real arguments only.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01932274
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Cubature formulas for the evaluation of surface singular integrals (1979)
    Springer
    BIT 19 (1979), S. 368-377 
    Details
    ISSN: 1572-9125
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Some cubature formulas for the evaluation of surface singular integrals are presented. The singular integral is considered as an iterated integral and these line integrals are calculated by using the modified quadrature formulas for integrals possessing real or complex poles, i.e. for singular integrals or regular ones. The error is obtained as the sum of two contour integrals. An estimate of the error for the Gauss-Jacobi and the Gauss-Chebyshev case is obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01930990
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Stress and displacement singularities near corners (1979)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 30 (1979), S. 728-728 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01590853
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    The symmetrically branched crack in an infinite elastic medium (1976)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 27 (1976), S. 801-814 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Es wird das ebene elastostatische Problem eines symmetrischen gegabelten Risses für den unendlichen, isotropen und mit senkrecht zur Riss-Hauptachse belasteten Körpers untersucht, und zwar unter Anwendung der Methode der komplexen Potentiale. Das Problem wird auf ein Systen von drei singulären Integralgleichungen reduziert und weiter auf ein System linearer Gleichungen transformiert, vermittelst einer Näherung der Integrale mit Hilfe des leicht lösbaren numerischen Quadraturverfahrens von Gauss und Lobatto. Die Spannungsintensitätsfaktoren in den Spitzen des gegabelten Risses werden rechnerisch ermittelt und mit experimentellen Ergebnissen verglichen.
    Notes: Summary The plane elastostatic problem of a symmetrically branched crack in an infinite isotropic body loaded by normal stresses perpendicular to the main crack axis at infinity was studied by using the method of complex potentials. The problem was reduced to a system of three singular integral equations. By means of an approximation of the integrals through the Gauss and Lobatto numerical quadrature procedures, these singular integral equations were transformed into a system of linear equations, which can be readily solved. The stress intensity factors at the tips of the branched crack were computed directly from the solution of the above system of linear equations and were compared with the already existing experimental solutions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01595131
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    On the numerical evaluation of stress intensity factors (1976)
    Springer
    International journal of fracture 12 (1976), S. 911-914 
    Details
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00034628
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Discussion: “Finite element analysis of stress intensity factors for cracks at a Bi-material interface,” (1976)
    Springer
    International journal of fracture 12 (1976), S. 921-922 
    Details
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00034631
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    On the solution of the problem of a curvilinear crack in a finite plane elastic medium (1979)
    Springer
    International journal of fracture 15 (1979), S. R7 
    Details
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00115913
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Stress intensity factors at crack tips near boundaries or other geometrical discontinuities (1979)
    Springer
    International journal of fracture 15 (1979), S. 419-428 
    Details
    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 Une modification de la méthode Lobatto-Chebyshev pour la solution numérique des équations singulières intégrales de type Cauchy apparaissant en problèmes de fissures dans l'élasticité plane ou antiplane et la détermination des facteurs d'intensité des contraintes aux extrémités des fissures est présentée. Cette modification, basée sur une transformation de variable, permet de modifier la sélection des abscisses et des points de collocation utilisés pour obténir une convergence rapide des résultats numériques pour les facteurs d'intensité des contraintes à leurs valeurs correctes. La technique proposée est vue d'être particulièrement effective pour des problèmes des fissures avec des extrémités près de limites, d'interfaces ou d'autres discontinuités géometriques. Deux applications de la méthode, à une série périodique des fissures dans l'élasticité plane et à une fissure près d'une limite dans l'élasticité antiplane, montrent l'efficacité de la méthode.
    Notes: Abstract A modification of the Lobatto-Chebyshev method for the numerical solution of Cauchy type singular integral equations appearing in plane or antiplane elasticity crack problems and the determination of stress intensity factors at crack tips is presented. This modification, based on a variable transformation, permits the selection of abscissas and collocation points used to be modified so as to obtain rapid convergence of the numerical results for the stress intensity factors to their correct values. The proposed technique is seen to be particularly effective for crack problems with crack tips near boundaries, interfaces or other geometrical discontinuities. Two applications of the method, to a periodic array of cracks in plane elasticity and to an antiplane shear crack near a boundary, show the effectiveness of the method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00023329
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    A system of curvilinear cracks in an isotropic elastic half-plane (1979)
    Springer
    International journal of fracture 15 (1979), S. 299-309 
    Details
    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 Le problème de l'élasticité plane d'un système arbitraire de fissures curvilignes dans un demi-plan élastique isotrope joint a un autre demi-plan constitué d'un autre matériel élastique isotrope est formulé en utilisant la technique des variables complexes et reduit a une équation intégrale singulière complexe de type Cauchy au long des fissures. Les cas particuliers d'un demi-plan avec une limite libre de contraintes et d'une série périodique de fissures curvilignes sont aussi étudiés. Les techniques numériques disponsibles pour la solution d'équations intégrales singulières complexes de type Cauchy sont présentées et une discussion sur elles est faite. Finalement, trois applications à quelques cas particuliers de fissures droites ou ayant la forme d'un arc de circle sont faites.
    Notes: Abstract The plane elasticity problem of an arbitrary system of curvilinear cracks in an isotropic elastic half-plane bonded to another half-plane consisting of a different isotropic elastic material is formulated by using the complex variable technique and reduced to a complex Cauchy type singular integral equation along the cracks. The special cases of a half-plane with a stress-free boundary and of a periodic array of curvilinear cracks are also treated. The numerical techniques available for the solution of complex Cauchy type singular integral equations are presented and a discussion on them is made. Finally, three applications to some special cases of straight or circular-arc-shaped cracks are made.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00033056
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    Paper (German National Licenses)
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  • 10
    Electronic Resource
    Electronic Resource
    Discussion: “Stress intensity factors in bonded half planes containing inclined cracks and subjected to antiplane shear loading,” (1979)
    Springer
    International journal of fracture 15 (1979), S. R143 
    Details
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00033066
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    Paper (German National Licenses)
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