The Boundary Element Method Applied to Inelastic Problems

The Boundary Element Method Applied to Inelastic Problems

CHAPTER 4 BOUNDARY ELEMENT EQUATIONS FOR INELASTIC PROBLEMS 4.1 Introduction This chapter presents the starting equations for the different ... Here, the weighted residual technique is also applied to arrive at an equivalent statement.

Author: J.C.F. Telles

Publisher: Springer Science & Business Media

ISBN: 9783642455629

Category: Technology & Engineering

Page: 247

View: 352

Categories: Technology & Engineering

The Boundary Element Method

The Boundary Element Method

Boundary element methods ( BEM ) and combination of BEMFEM . Report No. ... Formal equivalence of direct and indirect boundary element methods . Applied Mathematical ... The Boundary Element Method Applied to Inelastic Problems .

Author: A. Ali

Publisher: CRC Press

ISBN: 9058096572

Category: Mathematics

Page: 198

View: 250

The Boundary Element Method, or BEM, is a powerful numerical analysis tool with particular advantages over other analytical methods. With research in this area increasing rapidly and more uses for the method appearing, this timely book provides a full chronological review of all techniques that have been proposed so far, covering not only the fundamentals of the BEM but also a wealth of information on related computational analysis techniques and formulations, and their applications in engineering, physics and mathematics. An indispensable handbook and source of inspiration for researchers and professionals in these fields, this book is also an ideal textbook for graduate engineering students.
Categories: Mathematics

The Boundary Element Method Volume 2

The Boundary Element Method  Volume 2

( 70 ) Rizzo , F.J. , An integral equation approach to boundary value problems of classical elastostatics , Quartely Journal of Applied Mathematics . , 25 , 83-95 , 1967 . [ 71 ] Rizzo , F.J. and Shippy , D.J. , A method of stress ...

Author: M. H. Aliabadi

Publisher: John Wiley & Sons

ISBN: 0470842989

Category: Technology & Engineering

Page: 636

View: 722

The boundary element method (BEM) is a modern numerical technique, which has enjoyed increasing popularity over the last two decades, and is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with a comprehensive and up-to-date account of the boundary element method and its application to solving engineering problems. Each volume is a self-contained book including a substantial amount of material not previously covered by other text books on the subject. Volume 1 covers applications to heat transfer, acoustics, electrochemistry and fluid mechanics problems, while volume 2 concentrates on solids and structures, describing applications to elasticity, plasticity, elastodynamics, fracture mechanics and contact analysis. The early chapters are designed as a teaching text for final year undergraduate courses. Both volumes reflect the experience of the authors over a period of more than twenty years of boundary element research. This volume, Applications in Solids and Structures, provides a comprehensive presentation of the BEM from fundamentals to advanced engineering applications and encompasses: Elasticity for 2D, 3D and Plates and Shells Non-linear, Transient and Thermal Stress Analysis Crack Growth and Multi-body Contact Mechanics Sensitivity Analysis and Optimisation Analysis of Assembled Structures. An important feature of this book is the in-depth presentation of BEM formulations in all the above fields, including detailed discussions of the basic theory, numerical algorithms and where possible simple examples are included, as well as test results for practical engineering applications of the method. Although most of the methods presented are the latest developments in the field, the author has included some simple techniques, which are helpful in understanding the computer implementation of BEM. Another notable feature is the comprehensive presentation of a new generation of boundary elements known as the Dual Boundary Element Method. Written by an internationally recognised authority in the field, this is essential reading for postgraduates, researchers and practitioners in Aerospace, Mechanical and Civil Engineering and Applied Mathematics.
Categories: Technology & Engineering

Developments in Boundary Element Methods

Developments in Boundary Element Methods

Advanced development of the boundary element method for elastic and inelastic thermal stress analysis, Ph.D. Thesis, ... The boundary element method applied to inelastic problems, Lecture notes in engineering, Springer-Verlag, New York.

Author: P.K. Banerjee

Publisher: CRC Press

ISBN: 9781482286519

Category: Architecture

Page: 312

View: 435

Nine detailed survey chapters by different authors present a number of applications of BEMs.
Categories: Architecture

Boundary Element Methods in Applied Mechanics

Boundary Element Methods in Applied Mechanics

Proceedings of the First Joint Japan/US Symposium on Boundary Element Methods, University of Tokyo, Tokyo, Japan, 3-6 October 1988 ... Telles, J.C.F., The Boundary Element Method Applied to Inelastic Problems, (1983), Springer Verlag.

Author: Masataka Tanaka

Publisher: Elsevier

ISBN: 9781483286969

Category: Technology & Engineering

Page: 571

View: 441

This Proceedings features a broad range of computational mechanics papers on both solid and fluid mechanics as well as electromagnetics, acoustics, heat transfer and other interdisciplinary problems. Topics covered include theoretical developments, numerical analysis, intelligent and adaptive solution strategies and practical applications.
Categories: Technology & Engineering

Boundary Element Methods in Heat Transfer

Boundary Element Methods in Heat Transfer

The Boundary Element Method Applied to Inelastic Problems. Lecture Notes in Engineering, Vol. 1, (Ed. Brebbia C.A. and Orszag S.A.), Springer-Verlag, Berlin and New York. Wu J.C. (1985). Boundary Element Method and inhomogenous elliptic ...

Author: Wrobel

Publisher: Springer Science & Business Media

ISBN: 9789401129022

Category: Science

Page: 294

View: 707

Heat transfer problems in industry are usually of a very complex nature, simultaneously involving different transfer modes such as conduction, convection, radiation and others. Because of this, very few problems can be solved analytically and one generally has to resort to numerical analysis. The boundary element method is a numerical technique which has been receiving growing attention for solving heat transfer problems because of its unique ability to confine the discretization process to the boundaries of the problem region. This allows major reductions in the data preparation and computer effort necessary to solve complex industrial problems. The purpose of this book is to present efficient algorithms used in conjunction with the boundary element method for the solution of steady and transient, linear and non-linear heat transfer problems. It represents the state-of-the-art of boundary element applications in the field of heat transfer, and constitutes essential reading for researchers and practising engineers involved with this important topic.
Categories: Science

Boundary Element Programming in Mechanics

Boundary Element Programming in Mechanics

“ An Implementation of the Boundary Integral Technique for Planar Problems of Elasticity and Elastoplasticity , " PhD thesis , Carnegie Mellon ... The Boundary Element Method Applied to Inelastic Problems , Springer - Verlag , Berlin .

Author: Xiao-Wei Gao

Publisher: Cambridge University Press

ISBN: 0521773598

Category: Mathematics

Page: 274

View: 929

Nonlinear stress analysis (a branch of solid mechanics) is an essential feature in the design of such diverse structures as aircraft, bridges, machines, and dams. Computational techniques have become vital tools in dealing with the complex, time-consuming problems associated with nonlinear stress analysis. Although finite element techniques are widely used, boundary element methods (BEM) offer a powerful alternative, especially in tackling problems of three-dimensional plasticity. This book describes the application of BEM in solid mechanics, beginning with basic theory and then explaining the numerical implementation of BEM in nonlinear stress analysis. The book includes a state-of-the-art CD-ROM containing BEM source code for use by the reader. This book will be especially useful to stress analysts in industry, research workers in the field of computational plasticity, and postgraduate students taking courses in engineering mechanics.
Categories: Mathematics

Boundary Element Analysis in Computational Fracture Mechanics

Boundary Element Analysis in Computational Fracture Mechanics

S. Mukherjee, Boundary Element Methods in Creep and Fracture, Applied Science, London. J. C. F. Telles, The Boundary Element Method Applied to Inelastic Problems, Springer-Verlag, Berlin. T. A. Cruse and E. Z. Polch, Elastoplastic BIE ...

Author: T.A. Cruse

Publisher: Springer Science & Business Media

ISBN: 9789400913851

Category: Science

Page: 180

View: 293

The Boundary Integral Equation (BIE) method has occupied me to various degrees for the past twenty-two years. The attraction of BIE analysis has been its unique combination of mathematics and practical application. The EIE method is unforgiving in its requirement for mathe matical care and its requirement for diligence in creating effective numerical algorithms. The EIE method has the ability to provide critical inSight into the mathematics that underlie one of the most powerful and useful modeling approximations ever devised--elasticity. The method has even revealed important new insights into the nature of crack tip plastic strain distributions. I believe that EIE modeling of physical problems is one of the remaining opportunities for challenging and fruitful research by those willing to apply sound mathematical discipline coupled with phys ical insight and a desire to relate the two in new ways. The monograph that follows is the summation of many of the successes of that twenty-two years, supported by the ideas and synergisms that come from working with individuals who share a common interest in engineering mathematics and their application. The focus of the monograph is on the application of EIE modeling to one of the most important of the solid mechanics disciplines--fracture mechanics. The monograph is not a trea tise on fracture mechanics, as there are many others who are far more qualified than I to expound on that topic.
Categories: Science

Recent Advances in Boundary Element Methods

Recent Advances in Boundary Element Methods

Telles JCF (1983) The boundary element method applied to inelastic problems. Springer, Berlin. Wang HT, Yao ZH (2004) Application of a new fast multipole BEM for simulation of 2D elastic solid with large number of inclusions.

Author: George Manolis

Publisher: Springer Science & Business Media

ISBN: 9781402097102

Category: Technology & Engineering

Page: 467

View: 815

This volume, dedicated to Professor Dimitri Beskos, contains contributions from leading researchers in Europe, the USA, Japan and elsewhere, and addresses the needs of the computational mechanics research community in terms of timely information on boundary integral equation-based methods and techniques applied to a variety of fields. The contributors are well-known scientists, who also happen to be friends, collaborators as past students of Dimitri Beskos. Dimitri is one the BEM pioneers who started his career at the University of Minnesota in Minneapolis, USA, in the 1970s and is now with the University of Patras in Patras, Greece. The book is essentially a collection of both original and review articles on contemporary Boundary Element Methods (BEM) as well as on the newer Mesh Reduction Methods (MRM), covering a variety of research topics. Close to forty contributions compose an over-500 page volume that is rich in detail and wide in terms of breadth of coverage of the subject of integral equation formulations and solutions in both solid and fluid mechanics.
Categories: Technology & Engineering

Boundary Element Methods

Boundary Element Methods

Distribution of crack extension force, the J-integral, along a through-crack front in a plate. Int. J. Fracture, 23, 187-200. Telles, J.C.F.(1983). The Boundary Element Method Applied to Inelastic Problems. SpringerVerlag, Berlin.

Author: Q. Du

Publisher: Elsevier

ISBN: 9781483297941

Category: Technology & Engineering

Page: 428

View: 450

Significant developments in the boundary element method during the last two decades have made it a powerful alternative to the domain-type numerical methods of solution such as the finite element method. The advances made in the BEM are more or less due to the innovation of efficient computational techniques by introducing boundary elements for discretization of the boundary integral equations resulting from the so-called direct formulation. BEM has therefore become an efficient tool for optimal design and other inverse problems. These proceedings include discussion of the applications of BEM in mechanical engineering and the principles that have developed to make it an increasingly useful method of problem solving.
Categories: Technology & Engineering