Numerical Solutions of Some Problems in Elasto-plasticity with Finite and Boundary Element Methods

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ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Numerical Solutions of Some Problems in Elasto-plasticity with Finite and Boundary Element Methods by : Man Fai Harrison Poon

Download or read book Numerical Solutions of Some Problems in Elasto-plasticity with Finite and Boundary Element Methods written by Man Fai Harrison Poon and published by . This book was released on 1996 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stress Analysis by Boundary Element Methods

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Publisher : Elsevier
ISBN 13 : 148329174X
Total Pages : 699 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stress Analysis by Boundary Element Methods by : J. Balaš

Download or read book Stress Analysis by Boundary Element Methods written by J. Balaš and published by Elsevier. This book was released on 2013-10-22 with total page 699 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.

Boundary Element Methods in Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 3642842380
Total Pages : 596 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Boundary Element Methods in Engineering by : Balkrishna S. Annigeri

Download or read book Boundary Element Methods in Engineering written by Balkrishna S. Annigeri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method (BEM) has become established as an effective tool for the solutions of problems in engineering science. The salient features of the BEM have been well documented in the open literature and therefore will not be elaborated here. The BEM research has progressed rapidly, especially in the past decade and continues to evolve worldwide. This Symposium was organized to provide an international forum for presentation of current research in BEM for linear and nonlinear problems in solid and fluid mechanics and related areas. To this end, papers on the following topics were included: rotary wing aerodynamics, unsteady aerodynamics, design and optimization, elasticity, elasto dynamics and elastoplasticity, fracture mechanics, acoustics, diffusion and wave motion, thermal analysis, mathematical aspects and boundary/finite element coupled methods. A special session was devoted to parallel/vector supercomputing with emphasis on mas sive parallelism. This Symposium was sponsored by United Technologies Research Center (UTRC) , NASA Langley Research Center, and the International Association of Boundary Ele ment Methods (lAB EM) . We thank the UTRC management for their permission to host this Symposium. In particular, we thank Dr. Arthur S. Kesten and Mr. Robert E. Olson for their encouragement and support. We gratefully acknowledge the support of Dr. E. Carson Yates, Jr. of NASA Langley, Prof. Luigi Morino, Dr. Thomas A.

The Scaled Boundary Finite Element Method

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Publisher : John Wiley & Sons
ISBN 13 : 1119388457
Total Pages : 775 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis The Scaled Boundary Finite Element Method by : Chongmin Song

Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 775 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

Boundary Element Programming in Mechanics

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Publisher : Cambridge University Press
ISBN 13 : 9780521773591
Total Pages : 274 pages
Book Rating : 4.7/5 (735 download)

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Book Synopsis Boundary Element Programming in Mechanics by : Xiao-Wei Gao

Download or read book Boundary Element Programming in Mechanics written by Xiao-Wei Gao and published by Cambridge University Press. This book was released on 2002-03-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Boundary Element Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 3662112701
Total Pages : 638 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Boundary Element Methods by : Carlos A. Brebbia

Download or read book Boundary Element Methods written by Carlos A. Brebbia and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Developments in Boundary Element Methods

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Publisher : CRC Press
ISBN 13 : 0203974506
Total Pages : 299 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Developments in Boundary Element Methods by : P.K. Banerjee

Download or read book Developments in Boundary Element Methods written by P.K. Banerjee and published by CRC Press. This book was released on 2005-12-07 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nine detailed survey chapters by different authors present a number of applications of BEMs.

Numerical Methods in Geomechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027714619
Total Pages : 618 pages
Book Rating : 4.7/5 (146 download)

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Book Synopsis Numerical Methods in Geomechanics by : J.B. Martins

Download or read book Numerical Methods in Geomechanics written by J.B. Martins and published by Springer Science & Business Media. This book was released on 1982-09-30 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, Braga, Portugal, August 24-September 4, 1981

Boundary Element Techniques

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Publisher : Springer Science & Business Media
ISBN 13 : 3642488609
Total Pages : 479 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Boundary Element Techniques by : C. A. Brebbia

Download or read book Boundary Element Techniques written by C. A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: VI SOCRATES: I think that we ought to stress that we will write only about things that we have first hand experience in, in a coherent way that will be useful to engineers and other scientists and stressing the formulation without being too mathematical. We should write with integrity and honesty, giving reference to other authors where reference is due, but avoiding mentioning everybody just to be certain that our book is widely advertised. Above all, the book should be clear and useful. PLATO: I think we should include a good discussion of fundamental ideas, of how integral equations are formed, pointing out that they are like two dimensional shadows of three dimensional objects, ... SOCRATES: Stop there! Remember you are not 'the' Plato! PLATO: Sorry, I was carried away. ARISTOTLE: I think that the book should have many applications so that the reader can learn by looking at them how to use the method. SOCRATES: I agree. But we should be careful. It is easy to include many illustra tions and examples in a book in order to disguise its meagre contents. All examples should be relevant. ARISTOTLE: And we should also include a full computer program to give the reader if so he wishes, a working experience of the technique.

Plasticity

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Publisher : Springer Science & Business Media
ISBN 13 : 0387987045
Total Pages : 376 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Plasticity by : Weimin Han

Download or read book Plasticity written by Weimin Han and published by Springer Science & Business Media. This book was released on 1999-04-23 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focussing on theoretical aspects of the small-strain theory of hardening elastoplasticity, this monograph provides a comprehensive and unified treatment of the mathematical theory and numerical analysis, exploiting in particular the great advantages gained by placing the theory in a convex analytic context. Divided into three parts, the first part of the text provides a detailed introduction to plasticity, in which the mechanics of elastoplastic behaviour is emphasised, while the second part is taken up with mathematical analysis of the elastoplasticity problem. The third part is devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity.

Solution of Elasto-static Boundary Value Problems by the Finite Element Method

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Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.:/5 (21 download)

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Book Synopsis Solution of Elasto-static Boundary Value Problems by the Finite Element Method by : Yusef Rashed Rashid

Download or read book Solution of Elasto-static Boundary Value Problems by the Finite Element Method written by Yusef Rashed Rashid and published by . This book was released on 1965 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Boundary Element Method, Volume 2

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Publisher : John Wiley & Sons
ISBN 13 : 9780470842980
Total Pages : 614 pages
Book Rating : 4.8/5 (429 download)

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Book Synopsis The Boundary Element Method, Volume 2 by : M. H. Aliabadi

Download or read book The Boundary Element Method, Volume 2 written by M. H. Aliabadi and published by John Wiley & Sons. This book was released on 2002-04-29 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics

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Publisher : CISM International Centre for Mechanical Sciences
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics by : Erwin Stein

Download or read book Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics written by Erwin Stein and published by CISM International Centre for Mechanical Sciences. This book was released on 2005-08-03 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work deals with a systematic theoretical and problem-oriented treatment of fundamental topics in the wide area of error-controlled adaptive finite element methods for analyzing engineering structures with elastic and inelastic material behavior applied to engineering structures. Different types of error estimators are presented from both mathematical and engineering points of views: global estimators and goal-oriented estimators based on duality techniques, controlling h-, p-, and hp-adaptivity. Special features are: combined model and discretization adaptivity for thin-walled structures, hierarchic modeling in elasticity and related hp-adaptivity, error estimators of constitutive equations, adequate mesh refinement techniques and error-controlled adaptive elastic-plastic analysis of contact problems. The benefits are seen in new methods and results of leading researches in the field which provide deeper insight into recent developments of a posteriori error analysis and adaptivity.

The mathematics of finite elements and Applications V

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Publisher : Elsevier
ISBN 13 : 0323143717
Total Pages : 669 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis The mathematics of finite elements and Applications V by : J Whiteman

Download or read book The mathematics of finite elements and Applications V written by J Whiteman and published by Elsevier. This book was released on 2012-12-02 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Finite Elements and Applications V is the summary of invited papers and the abstracts of the poster papers in the fifth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1984, held at Brunei University in May 1984. Said symposium discussedfield of finite elements, including its techniques, theory, application, and implementation . The coverage of the book includes a wide range of mathematical topics under finite elements, including its method, calculations, analysis, and applications. The book also encompasses topics of computer-generated geometric design interface; modeling in an integrated computer design; and determination of dimensional field lines. Acidized channels in chalk formations, elastodynamics, stress analysis, and infinite elements are also discussed. The book also looks at isoparametric and hierarchical element procedures and Petrov-Galerkin methods. The text is recommended for mathematicians, engineers, and those in the field of information technology who would like to know more about finite elements and its applications in their respective fields.

The Boundary Element Method Applied to Inelastic Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 364245562X
Total Pages : 257 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis The Boundary Element Method Applied to Inelastic Problems by : J.C.F. Telles

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:

Numerical Methods for Problems in Infinite Domains

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Publisher : Elsevier
ISBN 13 : 1483291081
Total Pages : 316 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Numerical Methods for Problems in Infinite Domains by : D. Givoli

Download or read book Numerical Methods for Problems in Infinite Domains written by D. Givoli and published by Elsevier. This book was released on 2013-10-22 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.

The Boundary Integral Equatio Method in Axisymmetric Stress Analysis Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 364282644X
Total Pages : 227 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis The Boundary Integral Equatio Method in Axisymmetric Stress Analysis Problems by : Adib A. Bakr

Download or read book The Boundary Integral Equatio Method in Axisymmetric Stress Analysis Problems written by Adib A. Bakr and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Integral Equation (BIE) or the Boundary Element Method is now well established as an efficient and accurate numerical technique for engineering problems. This book presents the application of this technique to axisymmetric engineering problems, where the geometry and applied loads are symmetrical about an axis of rotation. Emphasis is placed on using isoparametric quadratic elements which exhibit excellent modelling capabilities. Efficient numerical integration schemes are also presented in detail. Unlike the Finite Element Method (FEM), the BIE adaptation to axisymmetric problems is not a straightforward modification of the two or three-dimensional formulations. Two approaches can be used; either a purely axisymmetric approach based on assuming a ring of load, or, alternatively, integrating the three-dimensional fundamental solution of a point load around the axis of rotational symmetry. Throughout this ~ook, both approaches are used and are shown to arrive at identi cal solutions. The book starts with axisymmetric potential problems and extends the formulation to elasticity, thermoelasticity, centrifugal and fracture mechanics problems. The accuracy of the formulation is demonstrated by solving several practical engineering problems and comparing the BIE solution to analytical or other numerical methods such as the FEM. This book provides a foundation for further research into axisymmetric prob lems, such as elastoplasticity, contact, time-dependent and creep prob lems.