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Keywords: weight function
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eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 2007
ISBN-10: 0-8031-4472-5
ISBN: 978-0-8031-4472-9
.... residual stresses cold-working fatigue fracture mechanics weight function stress intensity factors William T. Fujimoto1 Journal of ASTM International, Vol. 3, No. 5 Paper ID JAI12559 Available online at www.astm.org Modeling the Formation and Growth of Cracks from ColdWorked Holes ABSTRACT: First...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 2005
ISBN-10: 0-8031-3479-7
ISBN: 978-0-8031-3479-9
... stress fields are characterized by non-uniform distributions, and handbook stress intensity factor solutions are seldom available in such cases. The method presented below is based on the generalized weight function technique enabling the stress intensity factors to be calculated for any Mode I loading...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 2000
ISBN-10: 0-8031-2868-1
ISBN: 978-0-8031-2868-2
... factor solutions are in such cases unavailable, especially in the case of planar nonelliptical cracks. The method presented here is based on the generalized weight function technique enabling the stress intensity factors to be calculated for any Mode I loading applied to arbitrary planar convex...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1995
ISBN-10: 0-8031-2017-6
ISBN: 978-0-8031-2017-4
... The paper presents stress intensity factor solutions for surface and corner-cracked fastener holes by using an efficient and accurate three-dimensional weight function method. The approach is briefly described. Stress intensity factors for crack-face pressure loads of the type ( x/r ) n...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1994
ISBN-10: 0-8031-1990-9
ISBN: 978-0-8031-1990-1
... in real structures. Attempts were made by a few researchers to provide solutions for arbitrary loading using the weight-function and other methods, but a comprehensive treatment of these solutions is not available. The objective of the present work is to provide complete solutions including the effect...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1994
ISBN-10: 0-8031-1990-9
ISBN: 978-0-8031-1990-1
... The authors have developed weight functions for an eccentric crack in a finite-width plate based on an assumed crack-opening displacement (COD) expression and Isida's stress intensity factor solution for a cracked finite-width plate under tension. The unknown coefficient in the assumed COD...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1993
ISBN-10: 0-8031-1867-8
ISBN: 978-0-8031-1867-6
... to compute accurately values of stress intensity factor for the entire range of radius ratio, R i /R o (inner to outer), from 0 to 0.9999 and crack-depth-to-thickness ratio, a/t , from 0 to 1.0 for general loading using the weight-function approach. The p -version of the finite-element method was used...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1990
ISBN-10: 0-8031-1299-8
ISBN: 978-0-8031-1299-5
... stress intensity factors along the front of the corresponding elliptical cracks. stress intensity factor elliptical crack influence function fatigue crack growth strain energy release weight function M. Oore I Assessment of Influence Function for Elliptical Cracks Subjected to Uniform...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1990
ISBN-10: 0-8031-1284-X
ISBN: 978-0-8031-1284-1
... The objective of this paper is to present stress-intensity factors, K , for corner cracks at holes in a tabulated format which can be used to calculate K for general stress fields. Stress-intensity factors were obtained with the weight function method for various stress gradients and crack...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1990
ISBN-10: 0-8031-1284-X
ISBN: 978-0-8031-1284-1
... The results from fatigue tests on large-scale, hollow-threaded connections are presented. The fatigue crack depths and profiles were monitored during the tests using the alternating-current (a-c) field measurement technique. The crack growth data have been used to validate the weight function...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1990
ISBN-10: 0-8031-1284-X
ISBN: 978-0-8031-1284-1
... The stress-intensity factor for a semi-elliptical surface crack in T-butt welded joints has been studied by using the weight function approach. The weight functions for cracks in welded joints have been derived by employing the method proposed by Petroski-Achenbach. The calculated stress...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1988
ISBN-10: 0-8031-0972-5
ISBN: 978-0-8031-0972-8
... In this investigation, an exact three-dimensional weight function is developed for the elliptical crack family. Closed form expressions for the weight function of the penny-shaped and elliptical crack in an infinite body subjected to symmetric applied stresses are obtained. Several loadings...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1988
ISBN-10: 0-8031-0972-5
ISBN: 978-0-8031-0972-8
..., and triangular cracks are investigated, and the results agree very well with the existing finite-element analysis solutions. line spring constitutive equations compliance function potential energy release rate weight function stress-intensity factors crack shapes part-through cracks thermal...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1986
ISBN-10: 0-8031-0472-3
ISBN: 978-0-8031-0472-3
... Explicit nodal weight functions for a pair of symmetric radial cracks emanating from a hole in a plate are presented with special emphasis on the load-independent characteristics of the explicit weight functions that can obviate repeated calculations of the Mode I stress intensity factors ( K I...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1986
ISBN-10: 0-8031-0472-3
ISBN: 978-0-8031-0472-3
... A stress intensity factor solution for a surface crack in a finite solid subjected to an arbitrary stress field is presented. The solution was developed based on the superposition principle, the weight function technique, and a referenced finite body correction factor. An additional surface...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1985
ISBN-10: 0-8031-0225-9
ISBN: 978-0-8031-0225-5
... This paper presents a closed-form expression for the weight function for a strip with a single edge crack. The expression is valid for relative crack lengths from zero to unity. It is based on the assumption that the shape of an opened edge crack can be approximated by a conic section...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1983
ISBN-10: 0-8031-0728-5
ISBN: 978-0-8031-0728-1
... and weight function also are examined. The combination of finite elements and weight functions is found very effective and is used in this paper for multiple-radical cracks in a partially autofrettaged tube. Extensive numerical results are presented for a cylinder having an external diameter twice...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1976
ISBN-10: 0-8031-0509-6
ISBN: 978-0-8031-0509-6
... are separated. The relationship between this function and the compliance for a concentrated force applied on the crack is shown. Starting from complex mathematical considerations, Bueckner defined weight functions equivalent to the influence functions and of particular advantage for analytic as well...
eBook Chapter
Series: ASTM Selected Technical Papers
Publisher: ASTM International
Published: 1976
ISBN-10: 0-8031-0318-2
ISBN: 978-0-8031-0318-4
... The knowledge of weight functions would be of great help for the solution of three-dimensional crack problems. A numerical method of computation of these functions by finite elements is developed, starting from the simple consideration of concentrated forces applied to the crack and the energy...