Download or read book A Combined Boundary Integral Method for Crack Problems in Multilayered Elastic Media Under the Plane Strain Condition written by Gongbo Long and published by . This book was released on 2013 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The crack problems in multilayered elastic media are of considerable interest in many engineering applications, particularly in hydraulic fracturing treatments for increasing hydrocarbon production. Various computational methods have been developed for the analysis of crack problems, and boundary integral methods stand out for their broad applicability and accuracy. Among various boundary integral methods the standard boundary integral method, such as the direct method, can be used for general elastic analysis of multilayered media, while the displacement discontinuity method based on fundamental dislocation solution is more suitable for the analysis of crack problems. The displacement discontinuity method, however, cannot be applied directly to the general crack problems in multilayered media due to the lack of fundamental dislocation solutions. In this dissertation study, we therefore address this issue by developing a new approach that combines the displacement discontinuity method and the direct method. The combined method shares both the efficiency of the displacement discontinuity method and the applicability of the direct method. In this combined method, the displacement discontinuity method is implemented to construct the fracture matrix in each layer, while the direct method is used to characterize the effects of the interfaces. As a consequence, all variables on the interfaces can be eliminated through continuity conditions, leading to the final equation which only consists of variables on crack surfaces. The concept of the crack tip element is also adopted and extended for better treatment of the crack tip singularity. The example studies have demonstrated that the combined method has comparable accuracy but far more efficiency for practical applications as compared to the traditional direct method.

Download or read book Elastodynamic Crack Problems written by George C. Sih and published by Springer Science & Business Media. This book was released on 1977-03-31 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Assessments of Cracks in Elastic Plastic Materials written by Huang Yuan and published by Springer Science & Business Media. This book was released on 2002-04-26 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book a systematic discussion of crack problems in elastic-plastic materials is presented. The state of the art in fracture mechanics research and assessment of cracks is documented, with the help of analytic, asymptotic methods as well as finite element computations. After a brief introduction to fracture mechanics, the two-parameter concept for stationary cracks is studied in addition to the issues in three-dimensional crack fields under coupling with strong out-of-plane effects. Cracks along interfaces and crack growth problems under mixed mode conditions are also treated. A systematic study of stress singularities for different notches is accompanied by detailed finite element computations.

Download or read book The Boundary Element Method Applied to Inelastic Problems written by J.C.F. Telles and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dual Boundary Element Analysis of Crack Growth written by Artur Portela and published by . This book was released on 1993 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Development and Solution of Boundary Integral Equations for Crack Problems in Fracture Mechanics written by Louis Thomas Montulli and published by . This book was released on 1975 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: The elastostatic Boundary Integral Equation (B.I.E.) method is mathematically extended to include closed crack plane boundary value problems under general loading. The B.I.E. is formulated for a modified open crack geometry. By the formulation of a sum and difference state over the crack surfaces, a limit operation closing the crack is successfully performed. The resulting integral equation set is solved for two example problems possessing known solutions. The stress intensity factors, K(I), K(II), and K(III), and the resulting strain energy of the body are calculated and found to be accurate within 1% when compared to the analytical solution. The bent edge crack in a finite circular disk subject to mixed mode loading is investigated. Initial crack trajectories are predicted using the strain energy release rate criterion and compared to known results. (Author).

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Linear and Nonlinear Crack Growth Using Boundary Elements written by Adrián Cisilino and published by Computational Mechanics. This book was released on 2000 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a three dimensional Boundary Element Method for the analysis of fatigue crack problems in both linear and nonlinear fracture mechanics. Special attention is devoted to the use of singular and near-singular integrals.

Download or read book Stress Analysis by Boundary Element Methods written by J. Balas and published by North Holland. This book was released on 1989 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum mechanics such as: elastostatics, elastodynamics, thermoelasticity, micropolar elasticity, elastoplasticity, viscoelasticity, theory of plates and stress analysis by hybrid methods. The fundamental solution of governing differential equations, integral representations of the displacement and temperature fields, regularized integral representations of the stress field and heat flux, boundary integral equations and boundary integro-differential equations are derived. Besides the mathematical foundations of the boundary integral method, the book deals with practical applications of this method. Most of the applications concentrate mainly on the computational problems of fracture mechanics. The method has been found to be very efficient in stress-intensity factor computations. Also included are developments made by the authors in the boundary integral formulation of thermoelasticity, micropolar elasticity, viscoelasticity, plate theory, hybrid method in elasticity and solution of crack problems. The solution of boundary-value problems of thermoelasticity and micropolar thermoelasticity is formulated for the first time as the solution of pure boundary problems. A new unified formulation of general crack problems is presented by integro-differential equations.

Download or read book Boundary Elements in Nonlinear Fracture Mechanics written by V. M. A. Leitão and published by Computational Mechanics. This book was released on 1994 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Symmetric Galerkin Boundary Element Method written by Alok Sutradhar and published by Springer Science & Business Media. This book was released on 2008-09-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetric Galerkin Boundary Element Method presents an introduction as well as recent developments of this accurate, powerful, and versatile method. The formulation possesses the attractive feature of producing a symmetric coefficient matrix. In addition, the Galerkin approximation allows standard continuous elements to be used for evaluation of hypersingular integrals. FEATURES • Written in a form suitable for a graduate level textbook as well as a self-learning tutorial in the field. • Covers applications in two-dimensional and three-dimensional problems of potential theory and elasticity. Additional basic topics involve axisymmetry, multi-zone and interface formulations. More advanced topics include fluid flow (wave breaking over a sloping beach), non-homogeneous media, functionally graded materials (FGMs), anisotropic elasticity, error estimation, adaptivity, and fracture mechanics. • Presents integral equations as a basis for the formulation of general symmetric Galerkin boundary element methods and their corresponding numerical implementation. • Designed to convey effective unified procedures for the treatment of singular and hypersingular integrals that naturally arise in the method. Symbolic codes using Maple® for singular-type integrations are provided and discussed in detail. • The user-friendly adaptive computer code BEAN (Boundary Element ANalysis), fully written in Matlab®, is available as a companion to the text. The complete source code, including the graphical user-interface (GUI), can be downloaded from the web site http://www.ghpaulino.com/SGBEM_book. The source code can be used as the basis for building new applications, and should also function as an effective teaching tool. To facilitate the use of BEAN, a video tutorial and a library of practical examples are provided.

Download or read book Selected Topics in Boundary Integral Formulations for Solids and Fluids written by Vladimir Kompiš and published by Springer Science & Business Media. This book was released on 2002-11-11 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book outlines special approaches using singular and non-singular, multi-domain and meshless BEM formulations, hybrid- and reciprocity-based FEM for the solution of linear and non-linear problems of solid and fluid mechanics and for the acoustic fluid-structure interaction. Use of Trefftz functions and other regularization approaches to boundary integral equations (BIE), boundary contour and boundary node solution of BIE, sensitivity analysis, shape optimization, error analysis and adaptivity, stress and displacement derivatives in non-linear problems smoothing using Trefftz polynomials and other special numerical approaches are included. Applications to problems such as noise radiation from rolling bodies, acoustic radiation in closed and infinite domains, 3D dynamic piezoelectricity, Stefan problems and coupled problems are included.

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 1572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Crack Problems in the Mathematical Theory of Elasticity written by Ian Naismith Sneddon and published by . This book was released on 1961 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of main interest is the calculation of the stress field in the vicinity of a crack (or cracks) in a homogeneous isotropic solid. The principal methods available for the solution of such problems are treated. Problems in aelotropic bodies are not considered, nor are the physical implications of the results of the calculations. (Author).

Download or read book Boundary Element Methods in Creep and Fracture written by Subrata Mukherjee and published by . This book was released on 1982 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Improvement of the Boundary Integral Method for Plane Elastostatics Using Combinations of Singularities and Analytic Integration written by Enayat H. Mahajerin and published by . This book was released on 1981 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: