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  • 1
    Electronic Resource
    Electronic Resource
    A simple yet accurate finite element procedure for computing stress intensity factors (1982)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 18 (1982), S. 1587-1600 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A new finite element procedure for calculating stress intensity factors in elastic crack problems is developed. In common with a number of other approaches in the literature, the procedure combines the analytical singular fields present in a problem with a finite element treatment of the residual regular problem. What distinguishes the procedure is the use of path-independent integrals to balance the analytical and numerical contributions. A set of test problems with exact solutions is analysed and demonstrates that the procedure is readily implemented and can accurately evaluate stress intensity factors with a modest amount of computational effort. The application of two competing methods to the test problems further demonstrates that the new procedure is markedly superior in both its initial accuracy and its rate of convergence. The paper concludes with two additional illustrations of the procedure as applied to the single-edge crack and the centre crack; these also yield accurate results for little computational effort.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620181102
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Path independent integrals for computing stress intensity factors at sharp notches in elastic plates (1984)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 20 (1984), S. 999-1008 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A set of path independent integrals is constructed for the calculation of the generalized stress intensity factors occurring in elastic plates having sharp re-entrant corners or notches with stress-free faces and subjected to Mode I, II or III type loading. The Mode I integral is then demonstrated to enjoy a reasonable degree of numerical path independence in a finite element analysis of a test problem having an exact solution. Finally, this integral is used on the same problem in conjunction with a regularizing, finite element, procedure or superposition method. The results indicate that sufficiently accurate estimates of these stress intensity factors for engineering purposes can be achieved with little computational effort.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620200603
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A comparison of crack-flank displacement fitting for estimating K with a path independent integral (1993)
    Springer
    International journal of fracture 70 (1993), S. 237-251 
    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
    Notes: Abstract Predicting crack growth under cyclic loading in applications usually requires the efficient extraction of stress intensity factors from finite element analyses of mixed mode situations. Two approaches to this end are examined: one, a competitive fitting procedure using crack-flank displacement data, the other, a path independent integral which can readily distinguish between modes. A protocol is established for comparing the two on a set of about forty test problems which have exact solutions. Analysis is via quarter point elements on a common sequence of three successively refined meshes for each problem. Results show that the path independent integral is more consistently accurate and reliably convergent, yet comparable in implementation effort.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00012937
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  • 4
    Electronic Resource
    Electronic Resource
    The size dependence of fracture toughness for two embrittled materials (1985)
    Springer
    International journal of fracture 72 (1985), S. R3 
    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/BF00036931
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    On the fundamental energy argument of elastic fracture mechanics (1986)
    Springer
    International journal of fracture 74 (1986), S. 43-61 
    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
    Notes: Abstract Energy arguments remain, even today, as probably the most fundamental physically-reasoned justification for the application of linear elastic fracture mechanics to brittle materials. Accordingly, they have attracted and continue to attract quite a number of investigations. Not all of these studies employ the same approach. Unfortunately, nor do they all lead to the same conclusions regarding the implications of elastic fracture mechanics. Here, by examining the energy balance of fracture mechanics from a classical physics viewpoint, equivalent valid approaches are identified. This in turn enables the various contributions over the years to be placed in perspective with respect to whether or not they are correct.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00018574
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  • 6
    Electronic Resource
    Electronic Resource
    On the influence of cohesive stress-separation laws on elastic stress singularities (1996)
    Springer
    Journal of elasticity 44 (1996), S. 203-221 
    Details
    ISSN: 1573-2681
    Keywords: 73C02 ; stress singularities ; cohesive laws
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract The nature of the stress field occurring at the vertex of an angular elastic plate under in-plane loading is reconsidered. An additional boundary condition is introduced. This boundary condition reflects the action of cohesive stress-separation laws. Companion asymptotic analysis proceeds routinely on employing coupled eigenfunction expansions. Results show that a number of configurations that had previously contained stress singularities become singularity free.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00042132
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Further remarks on obtaining fracture toughness values from the literature (1988)
    Springer
    International journal of fracture 38 (1988), S. R47 
    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/BF00034288
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    On the singular behavior at the vertex of a bi-material wedge (1981)
    Springer
    Journal of elasticity 11 (1981), S. 317-327 
    Details
    ISSN: 1573-2681
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Information on the singular behavior at the vertex of a bi-material wedge is the objective of this paper. A summary of the necessary conditions, which depend heavily on the associated eigenvalue equation, for stress singularities of O(r -λ 1n r) as r→0 or O(r -λ) as r→0 is stated. The eigenvalue equations arising from a wide range of boundary and interface conditions are then provided. Bi-material wedge problems that have been subjected to singularity analyses of some generality in the literature are briefly reviewed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00041942
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    On stress intensities induced by direct resistance heating (1987)
    Springer
    International journal of fracture 33 (1987), S. 135-144 
    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 calcule pour un problème de modélisation le champ de température et l'intensité de contrainte de Mode I provoqué par un chauffage par résistance. Les résultats indiquent que, pour un courant électrique constant appliqué, l'intensité de contraintes est proportionnelle à la longueur d'une fissure à la puissance 5/2. En conséquence, l'effet d'un chauffage local devient spécialement important lorsqu'on augmente la longueur de fissure, et peut, s'il est ignoré, induire des erreurs graves au cours d'essais de fatigue thermique de sévérité accrue qui recourent au chauffage direct par effect Joule.
    Notes: Abstract The temperature field and mode I stress intensity caused by resistance heating are calculated for a model problem. The results indicate that, for a constant far-field electric current, the stress intensity is proportional to the crack length to the power 5/2. Consequently, the effect of localized heating becomes especially important as the crack length increases and may, if ignored, cause significant errors during the more severe thermal fatigue tests that utilize direct resistance heating.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00033745
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  • 10
    Electronic Resource
    Electronic Resource
    On the variability of fracture toughness (1993)
    Springer
    International journal of fracture 60 (1993), S. R43 
    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/BF00012516
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    Paper (German National Licenses)
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