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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 10 (1974), S. 487-502 
    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 technique d'analyse par éléments finis est présentée pour la détermination des facteurs d'intensité des contraintes élastiques à la pointe d'une fissure. Basée sur le taux de relaxation d'énergie la méthode ne nécessite pas d'éléments de forme particulière à la pointe de la fissure. En outre, seule est requise la solution pour une longueur déterminée de fissure simple: le processus d'extension de la fissure est obtenu en déplaçant les points nodaux du réseau plutôt qu'en ôtant les composantes de traction nodale à la pointe de la fissure et en procédant à une seconde analyse. On présente les possibilités prometteuses d'extension de la méthode à des configurations tridimensionnelles plus générales de fissures, en contraste avec les impossibilités auxquelles se heurtent les méthodes conventionnelles basées sur des considérations énergétiques.
    Abstract: Zusammenfassung Das Verfahren der endlichen Elementen wird angewandt zur Bestimmung der elastischen Spannungsintensitäts-faktoren an einer Rißspitze. Begründet auf die Geschwindigkeit der Energiefreilassung braucht dieses Verfahren keine spezielle Rißspitzenangaben. Weiterhin braucht man nur die Lösung für eine einzige Rißlänge, und der Rill wird fortbewegt eher durch Versetzung von Knotenpunkten als durch Entziehung von Knotenzugspannung an der Rißspitze und durch Ausführung einer zweiten Analyse. Die vielversprechende direkte Ausdehnung der Methode auf allgemeine dreidimensionale Rißgestaltungen wird vorgestellt and der praktischen Unmöglichkeit der klassischen Energie-methoden entgegengestellt.
    Notes: Abstract A finite element technique for determination of elastic crack tip stress intensity factors is presented. The method, based on the energy release rate, requires no special crack tip elements. Further, the solution for only a single crack length is required, and the crack is “advanced” by moving nodal points rather than by removing nodal tractions at the crack tip and performing a second analysis. The promising straightforward extension of the method to general three-dimensional crack configurations is presented and contrasted with the practical impossibility of conventional energy methods.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 31 (1986), S. 53-65 
    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 En utilisant une analyse de compliance, on tire une solution de KI pour une éprouvette à entaille latérale simple de longueur finie soumise à des déplacements imposés sur ses extrémités. On fournit des vérifications numériques et expérimentales de la solution de KI et on constate un bon accord. On discute des possibilités d'appliquer la mécanique de rupture conventionnelle à la correlation de la croissance d'une fissure créée dans des conditions de déplacement contrôlé
    Notes: Abstract The K I solution for a finite length single-edge notch specimen loaded under fixed-end displacements is derived using a crack compliance analysis. Numerical and experimental checks of the K I solution are provided. Good agreement between the experimental and numerical solutions is observed. The applicability of conventional fracture mechanics to correlate crack growth data generated under displacement control is discussed
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 56 (1992), S. 25-40 
    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 The elastic T-stress has been found to be an important parameter in characterizing the very near tip elastic-plastic stress state under 2-D plane strain conditions (Larsson and Carlsson [1]; Bilby et al. [2]; Betegón and Hancock [3]; etc.). Several computational methods have been developed to evaluate the T-stress (Larsson and Carlsson [1]; Kfouri [4]; Sham [5]). However, none of these methods can be readily adapted to calculate the elastic T-stress in a surface-cracked plate (SCP), which is essentially 3-D in nature. In this paper, the line-spring method, which has proven effective in computing the stress intensity factor of SCPs, is used to evaluate the elastic T-stress along the crack front. SCPs with same length and width, but different crack geometries, from low aspect ratio (a/c=0.24) to high aspect ratio (a/c=0.70), under both remote tension and bending, are studied using the line-spring method. Detailed, three-dimensional continuum finite element (FE) solutions of some ‘extreme’ cases, in terms of both aspect ratio and crack depth, under either remote tension or bending, are compared with the line-spring solutions. The line-spring solutions are in excellent agreement with the 3-D elastic FE solutions, but use 2 to 3 orders of magnitude less computational time and considerably less preparation and post-processing efforts. A concluding example demonstrates the utility of the T-stress in more accurately describing the crack front elastic-plastic field in a SCP at load levels up to moderate scale yielding.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    International journal of fracture 42 (1990), S. 129-143 
    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 The asymptotic elastic behavior of an interfacial crack occurring between two dissimilar isotropic media is reviewed. Distinct solutions, based on differing assumptions regarding crack-face boundary conditions, can be generated. The assumption of traction-free faces generally leads to oscillatory singular asymptotic fields which mathematically cause crack-face interpenetration, an inconsistency which can be alleviated by alternatively assuming asymptotic frictionless contact. For predominant tensile loading, the elastically-calculated ratio of contact length to crack size is typically very small, but may become appreciable when shear loading is applied. In either case, the singular crack-tip stresses cannot be sustained in materials capable of limited plastic flow, and small scale yielding (SSY) should be considered. In an extension of previous work [11], we identify conditions for SSY within surrounding dominant elastic regions of both traction-free and frictionless contact types. For the latter case, approximate closed form expressions for the plastic zone size and shape are obtained as the locus of points where the elastically-calculated Mises stress equals the tensile yield strength, % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeq4Wdm3aaS% baaSqaaiaadMhacaWGZbaabeaaaaa!39D2!\[\sigma _{ys} \]. The maximum extent of this plastic zone is approximately % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaaG4maiaadU% eadaqhaaWcbaGaaeysaiaabMeaaeaacaWGJbaaaOGaai4laiaaikda% cqaHdpWCdaqhaaWcbaGaamyEaiaadohaaeaacaaIYaaaaaaa!4042!\[3K_{{\text{II}}}^c /2\sigma _{ys}^2 \], where K II c is the closed crack-tip bimaterial stress intensity factor. Precise SSY numerical calculations for an elastic/perfectly-plastic material atop a rigid substrate indicate that the asymptotic stress field in the plastically-deforming material is composed of two fan regions and two constant state regions. Within the plastic zone, the interfacial and crack-face tractions asymptotically reach constant values. Compressive crack-face tractions persist even when contained inelastic crack-tip deformation is included.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 1693-1706 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The stiffness-derivative method of Parks1 for calculating the linear elastic crack tip stress intensity factor for any symmetric crack configuration and a particular loading is extended to calculate the weight function vector field2,3 which serves as a Green's function for the stress intensity factor. The method, which combines the observations of Rice3 on the weight function and of Zienkiewicz4 on the differential stiffness method, permits very efficient determination of the weight function, requiring only one additional back-substitution on the already-factored stiffness matrix. Thus, the stress intensity factor for arbitrary loading of this configuration can subsequently be determined by quadrature alone. The promising extension of the method to three-dimensional configurations is outlined.While this manuscript was under review, the authors became aware of the recent work of Vanderglas,21 in which the same approach as ours is used to extend the stiffness derivative method. The present work was then voluntarily revised in order to address further certain aspects of the topic of shape function perturbation, which Vanderglas noted.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 14 (1979), S. 780-784 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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