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Author: Xue-Ren Wu Publisher: Pergamon ISBN: Category : Science Languages : en Pages : 540
Book Description
Fracture mechanics is an indispensible tool in the design and safe operation of damage tolerant structures. One of the essential elements in fracture mechanics based analysis is the stress intensity factor. This book provides a powerful theoretical background to the weight function method in fracture mechanics and numerous stress intensity factors. Part I gives a theoretical background and overview of the weight function method. Part II provides further details of the weight functions for various geometries and a large number of stress intensity factor solutions. Part II deals with the determination of crack opening displacements, Dugdale model solutions and crack opening areas.
Author: Xue-Ren Wu Publisher: Pergamon ISBN: Category : Science Languages : en Pages : 540
Book Description
Fracture mechanics is an indispensible tool in the design and safe operation of damage tolerant structures. One of the essential elements in fracture mechanics based analysis is the stress intensity factor. This book provides a powerful theoretical background to the weight function method in fracture mechanics and numerous stress intensity factors. Part I gives a theoretical background and overview of the weight function method. Part II provides further details of the weight functions for various geometries and a large number of stress intensity factor solutions. Part II deals with the determination of crack opening displacements, Dugdale model solutions and crack opening areas.
Author: Theo Fett Publisher: Computational Mechanics ISBN: Category : Science Languages : en Pages : 416
Book Description
In this book the authors describe methods for the calculation of weight functions. In the first part they discuss the accuracy and convergence behaviour of methods for one- and two-dimensional cracks, while in the second part they provide solutions for cracks subjected to mode-I and mode-II loading.
Author: Xue-Ren Wu Publisher: Springer Nature ISBN: 981168961X Category : Science Languages : en Pages : 665
Book Description
This book provides a systematic and standardized approach based on the authors’ over 30 years of research experience with weight function methods, as well as the relevant literature. Fracture mechanics has become an indispensable tool for the design and safe operation of damage-tolerant structures in many important technical areas. The stress intensity factor—the characterizing parameter of the crack tip field—is the foundation of fracture mechanics analysis. The weight function method is a powerful technique for determining stress intensity factors and crack opening displacements for complex load conditions, with remarkable computational efficiency and high accuracy. The book presents the theoretical background of the weight function methods, together with a wealth of analytical weight functions and stress intensity factors for two- and three-dimensional crack geometries; many of these have been incorporated into national, international standards and industrial codes of practice. The accuracy of the results is rigorously verified, and various sample applications are provided. Accordingly, the book offers an ideal reference source for graduate students, researchers, and engineers whose work involves fracture and fatigue of materials and structures, who need not only stress intensity factors themselves but also efficient and reliable tools for obtaining them.
Author: Theo Fett Publisher: KIT Scientific Publishing ISBN: 386644446X Category : Technology (General) Languages : en Pages : 146
Book Description
Stresses in the vicinity of the crack tips are responsible for failure of crack-containing components. The singular stress contribution is characterised by the stress intensity factor K, the first regular stress term is represented by the so-called T-stress. Whereas in the main volume, IKM 50, predominantly one-dimensional cracks were considered in homogeneous materials, this supplement volume compiles new results on one-dimensional and two-dimensional cracks.
Author: Dan Bar-Tikva Publisher: ISBN: Category : Languages : en Pages : 110
Book Description
The weight function procedure allows one to convert stress intensity factors K and crack displacement information obtained for one crack configuration and loading into the stress intensity factor solution for the same geometry and another loading. The feasibility of using the weight function idea for a two-dimensional case with experimental results is demonstrated in this work. Mode I stress intensity factor K(I) measurements obtained by a laser interferometric technique, and 'crack mouth' opening displacement measurements were taken for an edge cracked strip subjected to four point bending. These results were used to construct (numerically) a weight function with the aid of a computer program written for this purpose. Results of K(I) for the same geometry with two different loading configurations, uniform tension and three point bending (with two different length to width ratios) were computed. These results agree favorably with the known solutions and demonstrate that a set of experiments for a single loading can accurately predict the stress intensity factor for any other loading configuration of the same geometry. The advantage of the weight function method would be particularly important if these loading configurations are difficult or impossible to reproduce in the laboratory. (Author).
Author: Mettu, SR. Publisher: ISBN: Category : Fracture mechanics Languages : en Pages : 21
Book Description
The case of a surface crack in a flat plate has received a lot of attention from the fracture mechanics community because of its practical applicability as an idealization of a flaw in structures. Among all the solutions available, those of Raju and Newman seem to be the most accepted and cover the widest range of geometric parameters. These solutions are, however, known only for the cases of tensile and bending loads, and include the effect of finite width using an empirical equation. Residual stresses and more complex forms of loading lead to nonlinear stress distributions across the thickness 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 of finite width using direct tabular inter polation of the finite-element results and to demonstrate the accuracy of a weight-function approach for computing stress intensity factors for a cracked plate subject to arbitrary stresses across the thickness. The reference solutions used in the weight-function scheme were obtained using the three-dimensional finite-element method (FEM). The full range of geometric parameters such as the crack-length-to-width ratio 2c/W, the crack-depth-to-thickness ratio a/t, and the aspect ratio a/c was covered so that accurate interpolation and extrapolation could be made for any given geometry. Piecewise cubic Hermite interpolation was used to compute the quantities corresponding to intermediate values of the geometric parameters. The new solution was compared with the earlier Newman-Raju equation. The new solution in tabular form was then used directly in the weight-function method. The stress intensity factor solution developed here was incorporated into the fatigue crack growth program NASA/FLAGRO, which is widely used by the aerospace community.
Author: E.E. Gdoutos Publisher: Springer Science & Business Media ISBN: 9401727740 Category : Science Languages : en Pages : 573
Book Description
On Fracture Mechanics A major objective of engineering design is the determination of the geometry and dimensions of machine or structural elements and the selection of material in such a way that the elements perform their operating function in an efficient, safe and economic manner. For this reason the results of stress analysis are coupled with an appropriate failure criterion. Traditional failure criteria based on maximum stress, strain or energy density cannot adequately explain many structural failures that occurred at stress levels considerably lower than the ultimate strength of the material. On the other hand, experiments performed by Griffith in 1921 on glass fibers led to the conclusion that the strength of real materials is much smaller, typically by two orders of magnitude, than the theoretical strength. The discipline of fracture mechanics has been created in an effort to explain these phenomena. It is based on the realistic assumption that all materials contain crack-like defects from which failure initiates. Defects can exist in a material due to its composition, as second-phase particles, debonds in composites, etc. , they can be introduced into a structure during fabrication, as welds, or can be created during the service life of a component like fatigue, environment-assisted or creep cracks. Fracture mechanics studies the loading-bearing capacity of structures in the presence of initial defects. A dominant crack is usually assumed to exist.
Author: Z. Wu Publisher: ISBN: Category : Materials Languages : en Pages : 14
Book Description
One of the difficulties in using fracture mechanics is in determining stress intensity factors of cracked structural and mechanical components. The cracks are often subjected to complex stress fields induced by external loads and residual stresses resulting from the surface treatment. Both 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 applied to a planar semi-elliptical surface crack. The stress intensity factor can be determined at any point on the crack tip contour by using the general weight function. The calculation is carried out by integrating the product of the stress field and the weight function over the crack area.
Author: Xue-Ren Wu
Author: Xue-Ren Wu
Author: Theo Fett
Author: Xue-Ren Wu
Author: Theo Fett
Author: Dan Bar-Tikva
Author: Mettu, SR.
Author: David Percy Rooke
Author: E.E. Gdoutos
Author: Z. Wu
Author: J. C. Newman