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  • 1
    Electronic Resource
    Electronic Resource
    T-effect for the interaction problem of an interface macrocrack with a near-tip microvoid (2000)
    Springer
    International journal of fracture 102 (2000), S. 205-222 
    Details
    ISSN: 1573-2673
    Keywords: T-stress ; T-effect ; interaction ; microhole ; interface macrocrack ; shielding ; amplification.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The paper deals with the analysis of the T-effect in the problem of an interface macrocrack interacting with a microvoid in the process zone of the main crack tip. With the aid of the `pseudo-traction-edge-dislocation' method, the interaction problem with the T-effect under the remote field loading conditions can be reduced to singular Fredholm integral equations with Hilbert kernel. After solving the singular integral equations numerically, the T-effect on the main crack tip parameters is analyzed and the numerical results are given in figures.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007533120851
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  • 2
    Electronic Resource
    Electronic Resource
    Elastic analysis of torsion crack problems of a bar with ring segment sections (1983)
    Springer
    International journal of fracture 22 (1983), S. 3-14 
    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 On discute les problèmes de fissuration en torsion d'un barreau dont la section droite est constituée d'un segment annulaire. La procédure utilisée consiste en les trois étapes suivantes: 1. utilisation d'une technique de représentation conforme, 2. utilisation d'une fonction harmonique, 3. recours à une méthode de compliance. La procédure utilisée revêt une forme indirecte en ce qui regarde le calcul des valeurs K3. Les résultats numériques concernant la rigidité torsionnelle etK 3 sont indiqués sous forme de tableau.
    Notes: Abstract Torsion crack problems of a bar with ring segment sections are discussed (see Figs. 1–2). The procedure utilized consists of the following three steps: (1) using the conformal mapping technique, (2) using the harmonic function continuation technique, (3) using the compliance method. The procedure used belongs to an indirect one with respect to calculation ofK 3 values. All the numerical results concerning the torsional rigidity andK 3 are shown in Tables 1–4.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00960096
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  • 3
    Electronic Resource
    Electronic Resource
    Interaction between an interface crack and a parallel subinterface crack in dissimilar anisotropic composite materials (2000)
    Springer
    International journal of fracture 102 (2000), S. 305-322 
    Details
    ISSN: 1573-2673
    Keywords: Anisotropic composite materials ; tangential tractions ; edge dislocation.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract In this paper, the pseudo-traction method is combined with the edge-dislocation method (i.e. PTDM) to solve the interaction problem between an interface crack and a parallel subinterface crack in dissimilar anisotropic materials. After deriving the fundamental solutions for an interface crack loaded by normal or tangential tractions on both crack surfaces and the fundamental solutions for an edge dislocation beneath the interface in the lower anisotropic material, the interaction problem is reduced to a system of a singular integral equations by adopting the well-known superposition technique. The equations are then solved numerically with the aid of the Chebyshev numerical integration and the Chebyshev polynomial expansion technique. Several typical examples are calculated and numerical results are shown in figures and tables from which a series of valuable conclusions is obtained. Since the present results should be verified and since no previous results exist to compare them with a consistency check in introduced which starts from the conservation law of the J-integral in anisotropic cases. It is shown that the check provides a powerful tool to examine the results, although it really presents a necessary condition rather than a sufficient way to the crack-tip parameters of the interface crack and the subinterface crack in the dissimilar anisotropic materials.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007500201519
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  • 4
    Electronic Resource
    Electronic Resource
    Effect of a hole near a crack tip on the stress intensity factor (1986)
    Springer
    International journal of fracture 32 (1986), S. R39 
    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/BF00018355
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  • 5
    Electronic Resource
    Electronic Resource
    Interface crack interacting with a microvoid in the near-tip process zone (2000)
    Springer
    International journal of fracture 102 (2000), S. 223-244 
    Details
    ISSN: 1573-2673
    Keywords: Interface ; macrocrack ; microvoid ; interaction ; J-integral ; shielding.
    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 deals with the elastic problem of an interface macrocrack interacting with a near-tip microvoid in the process zone. The `pseudo-traction-edge-dislocation method' (abbreviated PTEDM) proposed by Zhao and Chen (1996) is extended to treat the macrocrack-microvoid interaction problem in bimaterial solids. A system of singular integral equations with Hilbert kernel is reduced and solved numerically, which provides a fundamental understanding of the interaction effect. Numerical results are given for six kinds of bimaterial combinations (Hutchinson, Meer and Rice, 1987). The J-integral analysis is also applied to the interaction problem, and some useful conclusions are presented in detail.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007479717979
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  • 6
    Electronic Resource
    Electronic Resource
    On the torsional rigidity for bars with L- and +-cross-section (1982)
    Springer
    Applied mathematics and mechanics 3 (1982), S. 113-119 
    Details
    ISSN: 1573-2754
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract This paper is a continuation of the senior author's previous papers[1–3]. Using the harmonic continuation technique, the torsional rigidity for bars with L- and +-cross-section can be easily found. Numerical results are shown in Tables 1–3 respectively.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01897391
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  • 7
    Electronic Resource
    Electronic Resource
    Solution of the connection problems between a finite holed plate and a stiffener by using the partitioning concept of the generalized variational method (1987)
    Springer
    Applied mathematics and mechanics 8 (1987), S. 685-696 
    Details
    ISSN: 1573-2754
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract In this paper a new finite element method is presented, in which complex functions are chosen to be the finite element model and the partitioning concept of the generalized variational method is utilized. The stress concentration factors for a finite holed plate welded by a stiffener are calculated and the analytical solutions in series form are obtained. From some computer trials it is demonstrated that the problem of displacement compatibility and continuity of tractions between the holed plate and the stiffener is successfully analysed by using this method. Since only three elements need to be formulated, relatively less storage is required than the usual finite element methods. Furthermore, the accuracy of solutions is improved and the computer time requirements are considerably reduced. Numerical results of stress concentration factors and stresses along the welded-line which may be referential to engineers are shown in tables.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458266
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  • 8
    Electronic Resource
    Electronic Resource
    A method for conformal mapping of a two-connected region onto an annulus (1983)
    Springer
    Applied mathematics and mechanics 4 (1983), S. 961-968 
    Details
    ISSN: 1573-2754
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract This paper presents a method for conformal of a two-connected region onto an annulus. The philosophy of the method is to convert the problem into a Dirichlet problem and to prove the real part of the analytic function transformation should be a harmonic function satisfying certain boundary conditions. According to the theory of harmonic function we can determine the inner radius of the annulus from the condition that the harmonic function defined in two-connected region should be single-valued. It is then easy to see that the imaginary part can directly be obtained with the aid of Cauchy-Riemann conditions. The unknown constants of integration only influence the argument of image points and can easily be derived by using the one-to-one mapping of region onto an annulus. Without loss of generality, the method can be used to conformally map other two-connected regions onto an annulus if they can be subdivided into several rectangulars. The method has been programmed for a digital computer. It is demonstrated that the method is efficient and economical. The corresponding numerical results are shown in the Table.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01896181
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  • 9
    Electronic Resource
    Electronic Resource
    On a finite element model for solving Dirichlet's problem of Laplace's equation (1982)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 687-700 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: This paper is a sequel to the author's previous paper. 1In soliving Dirichlet's problem of Laplace's equation by the finite element method, we can subdivide the original region into many elements, which in general are chosen to be triangular or rectangular. Customarily, 2,3,7 polynomial trial functions are chosen as the basis of the finite element model.In this paper we divide the original region into rectangles and choose a particular series for the finite element model. This model is shown to be very efficient in obtaining the analytical solution of Laplace's equation over complex regions. From some computer trials it is demonstrated that this finite element model can be used to reduce the main memory storage and computer time requirements.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620180506
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  • 10
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    Energy release or absorption due to simultaneous expansion of many interacting nanoholes in elastic materials (2011)
    Springer
    Details
    Publication Date: 2011-05-15
    Print ISSN: 0939-1533
    Electronic ISSN: 1432-0681
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Springer
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