Hypersingular Integral Equations in Fracture Analysis Book

Hypersingular Integral Equations in Fracture Analysis


  • Author : Whye-Teong Ang
  • Publisher : Elsevier
  • Release Date : 2014-04-23
  • Genre: Technology & Engineering
  • Pages : 212
  • ISBN 10 : 9780857094803

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Hypersingular Integral Equations in Fracture Analysis Excerpt :

Hypersingular Integral Equations in Fracture Analysis explains how plane elastostatic crack problems may be formulated and solved in terms of hypersingular integral equations. The unknown functions in the hypersingular integral equations are the crack opening displacements. Once the hypersingular integral equations are solved, the crack tip stress intensity factors, which play an important role in fracture analysis, may be easily computed. This title consists of six chapters: Elastic crack problems, fracture mechanics, equations of elasticity and finite-part integrals; Hypersingular integral equations for coplanar cracks in anisotropic elastic media; Numerical methods for solving hypersingular integral equations; Hypersingular boundary integral equation method for planar cracks in an anisotropic elastic body; A numerical Green's function boundary integral approach for crack problems; and Edge and curved cracks and piezoelectric cracks. This book provides a clear account of the hypersingular integral approach for fracture analysis, gives in complete form the hypersingular integral equations for selected crack problems, and lists FORTRAN programs of numerical methods for solving hypersingular integral equations. Explains the hypersingular integral approach using specific and progressively more complex crack problems Gives hypersingular integral equations for selected crack problems in complete form Lists computer codes in FORTRAN for the numerical solution of hypersingular integral equations

Topics in Integral and Integro Differential Equations Book

Topics in Integral and Integro Differential Equations


  • Author : Harendra Singh
  • Publisher : Springer Nature
  • Release Date : 2021-04-16
  • Genre: Technology & Engineering
  • Pages : 255
  • ISBN 10 : 9783030655099

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Topics in Integral and Integro Differential Equations Excerpt :

This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering, etc. Key Features • New and advanced methods for solving integral and integro-differential equations • Contains comparison of various methods for accuracy • Demonstrates the applicability of integral and integro-differential equations in other scientific areas • Examines qualitative as well as quantitative properties of solutions of various types of integral and integro-differential equations

Selected Topics in Boundary Integral Formulations for Solids and Fluids Book

Selected Topics in Boundary Integral Formulations for Solids and Fluids


  • Author : Vladimir Kompiš
  • Publisher : Springer
  • Release Date : 2014-05-04
  • Genre: Technology & Engineering
  • Pages : 232
  • ISBN 10 : 9783709125489

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Selected Topics in Boundary Integral Formulations for Solids and Fluids 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.

Wavelet Based Approximation Schemes for Singular Integral Equations Book

Wavelet Based Approximation Schemes for Singular Integral Equations


  • Author : Madan Mohan Panja
  • Publisher : CRC Press
  • Release Date : 2020-09-25
  • Genre: Mathematics
  • Pages : 290
  • ISBN 10 : 9780429534287

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Wavelet Based Approximation Schemes for Singular Integral Equations Excerpt :

Many mathematical problems in science and engineering are defined by ordinary or partial differential equations with appropriate initial-boundary conditions. Among the various methods, boundary integral equation method (BIEM) is probably the most effective. It’s main advantage is that it changes a problem from its formulation in terms of unbounded differential operator to one for an integral/integro-differential operator, which makes the problem tractable from the analytical or numerical point of view. Basically, the review/study of the problem is shifted to a boundary (a relatively smaller domain), where it gives rise to integral equations defined over a suitable function space. Integral equations with singular kernels areamong the most important classes in the fields of elasticity, fluid mechanics, electromagnetics and other domains in applied science and engineering. With the advancesin computer technology, numerical simulations have become important tools in science and engineering. Several methods have been developed in numerical analysis for equations in mathematical models of applied sciences. Widely used methods include: Finite Difference Method (FDM), Finite Element Method (FEM), Finite Volume Method (FVM) and Galerkin Method (GM). Unfortunately, none of these are versatile. Each has merits and limitations. For example, the widely used FDM and FEM suffers from difficulties in problem solving when rapid changes appear in singularities. Even with the modern computing machines, analysis of shock-wave or crack propagations in three dimensional solids by the existing classical numerical schemes is challenging (computational time/memory requirements). Therefore, with the availability of faster computing machines, research into the development of new efficient schemes for approximate solutions/numerical simulations is an ongoing parallel activity. Numerical methods based on wavelet basis (multiresolution analysis) may be regarded as a confluence of widely used n

Boundary Element Advances in Solid Mechanics Book

Boundary Element Advances in Solid Mechanics


  • Author : Dimitri Beskos
  • Publisher : Springer
  • Release Date : 2014-05-04
  • Genre: Technology & Engineering
  • Pages : 307
  • ISBN 10 : 9783709127902

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Boundary Element Advances in Solid Mechanics Excerpt :

This volume presents and discusses recent advances in boundary element methods and their solid mechanics applications. It illustrates these methods in their latest forms, developed during the last five to ten years, and demonstrates their advantages in solving a wide range of solid mechanics problems.

Recent Advances in Mathematics for Engineering Book

Recent Advances in Mathematics for Engineering


  • Author : Mangey Ram
  • Publisher : CRC Press
  • Release Date : 2020-03-17
  • Genre: Technology & Engineering
  • Pages : 354
  • ISBN 10 : 9780429577918

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Recent Advances in Mathematics for Engineering Excerpt :

In recent years, mathematics has experienced amazing growth in the engineering sciences. Mathematics forms the common foundation of all engineering disciplines. This book provides a comprehensive range of mathematics applied in various fields of engineering for different tasks such as civil engineering, structural engineering, computer science, and electrical engineering, among others. It offers chapters that develop the applications of mathematics in engineering sciences, conveys the innovative research ideas, offers real-world utility of mathematics, and has a significance in the life of academics, practitioners, researchers, and industry leaders. Features Focuses on the latest research in the field of engineering applications Includes recent findings from various institutions Identifies the gaps in the knowledge in the field and provides the latest approaches Presents international studies and findings in modeling and simulation Offers various mathematical tools, techniques, strategies, and methods across different engineering fields

Contemporary Computational Mathematics   A Celebration of the 80th Birthday of Ian Sloan Book

Contemporary Computational Mathematics A Celebration of the 80th Birthday of Ian Sloan


  • Author : Josef Dick
  • Publisher : Springer
  • Release Date : 2018-05-23
  • Genre: Mathematics
  • Pages : 1309
  • ISBN 10 : 9783319724560

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Contemporary Computational Mathematics A Celebration of the 80th Birthday of Ian Sloan Excerpt :

This book is a tribute to Professor Ian Hugh Sloan on the occasion of his 80th birthday. It consists of nearly 60 articles written by international leaders in a diverse range of areas in contemporary computational mathematics. These papers highlight the impact and many achievements of Professor Sloan in his distinguished academic career. The book also presents state of the art knowledge in many computational fields such as quasi-Monte Carlo and Monte Carlo methods for multivariate integration, multi-level methods, finite element methods, uncertainty quantification, spherical designs and integration on the sphere, approximation and interpolation of multivariate functions, oscillatory integrals, and in general in information-based complexity and tractability, as well as in a range of other topics. The book also tells the life story of the renowned mathematician, family man, colleague and friend, who has been an inspiration to many of us. The reader may especially enjoy the story from the perspective of his family, his wife, his daughter and son, as well as grandchildren, who share their views of Ian. The clear message of the book is that Ian H. Sloan has been a role model in science and life.

Applied Mechanics Reviews Book

Applied Mechanics Reviews


  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1986
  • Genre: Mechanics, Applied
  • Pages : null
  • ISBN 10 : UIUC:30112008993427

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Applied Mechanics Reviews Excerpt :

Introduction to Boundary Elements Book

Introduction to Boundary Elements


  • Author : Friedel Hartmann
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Technology & Engineering
  • Pages : 418
  • ISBN 10 : 9783642488733

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Introduction to Boundary Elements Excerpt :

to Boundary Elements Theory and Applications With 194 Figures Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Dr.-Ing. Friedel Hartmann University of Dortmund Department of Civil Engineering 4600 Dortmund 50 FRG ISBN-13: 978-3-642-48875-7 e-ISBN-13: 978-3-642-48873-3 001: 10.1007/978-3-642-48873-3 Library of Congress Cataloging-in-Publication Data Hartmann, F. (Friedel) Introduction to boundary elements: theory and applications/Friedel Hartmann. ISBN-13: 978-3-642-48875-7 1. Boundary value problems. I. Title. TA347.B69H371989 515.3'5--dc19 89-4160 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provision of the German Copyright Law of September 9,1965, in its version of June 24,1985, and a copyright fee must always be paid. Violations fall under the prosecution act of the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1989 Softcover reprint of the hardcover 1 st edition 1989 The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.

Damage and Fracture Mechanics Book

Damage and Fracture Mechanics


  • Author : Taoufik Boukharouba
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-08-09
  • Genre: Science
  • Pages : 611
  • ISBN 10 : 9789048126699

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Damage and Fracture Mechanics Excerpt :

The First African InterQuadrennial ICF Conference “AIQ-ICF2008” on Damage and Fracture Mechanics – Failure Analysis of Engineering Materials and Structures”, Algiers, Algeria, June 1–5, 2008 is the first in the series of InterQuadrennial Conferences on Fracture to be held in the continent of Africa. During the conference, African researchers have shown that they merit a strong reputation in international circles and continue to make substantial contributions to the field of fracture mechanics. As in most countries, the research effort in Africa is und- taken at the industrial, academic, private sector and governmental levels, and covers the whole spectrum of fracture and fatigue. The AIQ-ICF2008 has brought together researchers and engineers to review and discuss advances in the development of methods and approaches on Damage and Fracture Mechanics. By bringing together the leading international experts in the field, AIQ-ICF promotes technology transfer and provides a forum for industry and researchers of the host nation to present their accomplishments and to develop new ideas at the highest level. International Conferences have an important role to play in the technology transfer process, especially in terms of the relationships to be established between the participants and the informal exchange of ideas that this ICF offers.

Boundary Integral Equations in Elasticity Theory Book

Boundary Integral Equations in Elasticity Theory


  • Author : A.M. Linkov
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-11
  • Genre: Science
  • Pages : 274
  • ISBN 10 : 9789401599146

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Boundary Integral Equations in Elasticity Theory Excerpt :

by the author to the English edition The book aims to present a powerful new tool of computational mechanics, complex variable boundary integral equations (CV-BIE). The book is conceived as a continuation of the classical monograph by N. I. Muskhelishvili into the computer era. Two years have passed since the Russian edition of the present book. We have seen growing interest in numerical simulation of media with internal structure, and have evidence of the potential of the new methods. The evidence was especially clear in problems relating to multiple grains, blocks, cracks, inclusions and voids. This prompted me, when preparing the English edition, to place more emphasis on such topics. The other change was inspired by Professor Graham Gladwell. It was he who urged me to abridge the chain of formulae and to increase the number of examples. Now the reader will find more examples showing the potential and advantages of the analysis. The first chapter of the book contains a simple exposition of the theory of real variable potentials, including the hypersingular potential and the hypersingular equations. This makes up for the absence of such exposition in current textbooks, and reveals important links between the real variable BIE and the complex variable counterparts. The chapter may also help readers who are learning or lecturing on the boundary element method.

Boundary Integral Methods Book

Boundary Integral Methods


  • Author : Luigi Morino
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Science
  • Pages : 521
  • ISBN 10 : 9783642854637

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Boundary Integral Methods Excerpt :

This volume contains edited papers from IABEM-90, the 1990 Symposium of the Interna tional Association for Boundary Element Methods (IABEM). As stated in the By-Laws of the Association, the purposes of IABEM are: 1. to promote the international exchange of technical information related to the devel opment and application of boundary-integral equation (BIE) formulations and their numerical implementation to problems in engineering and science, commonly referred to as the boundary element method (BEM); 2. to promote research and development activities for the advancement of boundary integral equation methods and boundary element solution algorithms; 3. to foster closer personal relationships within the BEM community of researchers. The objectives of the Symposium, in line with those of the Association, was to provide a forum where the two "souls" of the Association, i. e. , (i) mathematical foundations and numerical aspects, and (ii) engineering applications could be integrated. We believe that the first aspect has been neglected in too many of the BEM Symposia held in the past, which, with a few exceptions (notably, the IUTAM Symposia on the subject) have emphasized the practical aspects of the method. As a consequence, we have tried to give a stronger emphasis to the more theoretical issues: this is attested for instance, by the fact that the two general lectures were given by Prof. Gaetano Fichera, of the University of Rome "La Sapienza," and Prof.

Boundary Elements and Other Mesh Reduction Methods XXX Book

Boundary Elements and Other Mesh Reduction Methods XXX


  • Author : L. Škerget
  • Publisher : WIT Press
  • Release Date : 2008
  • Genre: Mathematics
  • Pages : 289
  • ISBN 10 : 9781845641214

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Boundary Elements and Other Mesh Reduction Methods XXX Excerpt :

The major motivation behind the Boundary Element Method (BEM) was to reduce the dependency of analysis on the definition of meshes. This has allowed the method to expand naturally into new techniques such as Dual Reciprocity and all other Mesh reduction Methods (MRM). MRM and BEM continue to be very active areas of research with many of the resulting techniques applied to solve increasingly complex problems. This book contains papers presented at the much-acclaimed thirtieth International Conference on Boundary Elements and other Mesh Reductions Methods . The proceedings contain papers on practically all major developments in Boundary Elements, including the most recent MRM techniques, grouped under the following topics: Fluid Flow; Heat Transfer; Electrical Engineering and Electromagnetics; Damage Mechanics and Fracture; Mesh Reduction Techniques; Advanced Computational Techniques

Advances in Dynamic Systems and Stability Book

Advances in Dynamic Systems and Stability


  • Author : D.E. Beskos
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-11
  • Genre: Science
  • Pages : 192
  • ISBN 10 : 9783709192238

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Advances in Dynamic Systems and Stability Excerpt :

On December 2-5, 1991, a Symposium on Thermal Stresses, Dynamics and Stability honoring Professor Bruno A. Boley on the occasion of his 65th birthday was held in Atlanta, Georgia during the Winter Annual Meeting of the American Society of Mechanical Engineers. The papers presented during the Symposium by some of Professor Boley's former students and colleagues cover those areas of applied mechanics where most of his contributions have been made over the years. These papers have been written in tribute to Professor Boley's distinguished scientific career and out of genuine affection and respect for him. The present volume consists of those Symposium papers that belong to the areas of Dynamics and Stability and constitute recent advances in the field. A special issue of the Journal of Thermal Stresses has been reserved for publication of the Symposium papers on Thermal Stresses, under the editorship of Professor R. B. Hetnarski. The present volume begins with a biographical sketch and bibliography of Professor Boley, along with a list of his doctoral students. Thirteen papers on dynamics and stability follow. The first four papers deal with wave propagation and vibration studies in solids and structures. The next two papers study wave propagation in fluids, while the seventh paper is concerned with the dynamic response of random media. Two papers dealing with structural vibrations exhibiting instability and one dealing with dynamic buckling delamination are presented next. The last three papers are concerned with instability in solids and structures.