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Author : C. A. Brebbia
Publisher : Unknown
Page : 714 pages
File Size : 51,6 Mb
Release : 1988
Category : Mathematics
ISBN : UCAL:B4388405
Author : C. A. Brebbia,Wolfgang L. Wendland,G. Kuhn
Publisher : Unknown
Page : 670 pages
File Size : 47,7 Mb
Release : 1987
Category : Mathematics
ISBN : WISC:89038802948
Author : C. A. Brebbia,Jerome J. Connor
Publisher : Unknown
Page : 472 pages
File Size : 43,7 Mb
Release : 1989
Category : Boundary element methods
ISBN : 185312026X
Author : J. Balaš,J. Sládek,V. Sládek
Publisher : Elsevier
Page : 699 pages
File Size : 46,5 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483291741
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.
Author : C. A. Brebbia,Wolfgang L. Wendland
Publisher : Unknown
Page : 641 pages
File Size : 51,7 Mb
Release : 1987-01-01
Category : Boundary element methods
ISBN : 093121582X
Author : Susumu Takahashi
Publisher : Springer Science & Business Media
Page : 227 pages
File Size : 54,5 Mb
Release : 2013-03-08
Category : Science
ISBN : 9783642845024
This book presents a new formulation of the boundary element method for two-dimensional and axisymmetric contact problems. The solution procedure includes the effects of non-frictional as well as frictional contact between elastic bodies. Following a literature survey of various experimental and analytical approaches for solving elastic contact problems, a comprehensive review of numerical techniques used for analyses of contact problems is presented. The boundary element formulations for two-, three-dimensional and axisymmetric problems in elasticity are derived and numerical implementation using constant and linear elements is described. For analysis of contact problems, boundary elements are employed to compute flexibility matrices representing the relationship between tractions and displacements only at nodes coming into contact. The contact analysis is performed using the flexibility matrices in conjunction with contact boundary conditions. In this approach, only equations corresponding to the node coming into contact are required and consequently very efficient computation is achieved. Furthermore, the boundary element analysis and the contact analysis are performed separately, which makes it easy to implement the contact analysis procedure into boundary element codes. A new contact criterion for nodes coming into contact is proposed. Load incremental and iterative schemes are used to obtain accurate solutions. Some classical Hertz and non-Hertz contact problems are studied and results are found to be in good agreement with analytical and other numerical solutions.
Author : Ján Balaš,Ján Sládek,Vladimír Sládek
Publisher : Unknown
Page : 686 pages
File Size : 49,8 Mb
Release : 1989
Category : Electronic
ISBN : 0444417583
Author : C. A. Brebbia,Wolfgang L. Wendland,Günther Kuhn
Publisher : Unknown
Page : 641 pages
File Size : 55,6 Mb
Release : 1987
Category : Technology & Engineering
ISBN : 0387181415
Author : Dimitri E. Beskos
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642456947
The analysis of plates and shells under static and dynamic loads is of greatinterest to scientists and engineers both from the theoretical and the practical viewpoint. The Boun- dary Element Method (BEM) has some distinct advantages over domain techniques such as the Finite Difference Method (FDM) and the Finite Element Method (FEM) for a wide class of structuralanalysis problems. This is the first book to deal specifically with the analysis of plates and shells by the BEM and to cover all aspects of their behaviour, and combi- nes tutorial and state-of-the-art articles on the BEM as ap- plied to plates and shells. It aims to inform scientists and engineers about the use and the advantages of this techni- que, the most recent developments in the field and the per- tinent literature for further study.
Author : S. Kobayashi,N. Nishimura
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 45,7 Mb
Release : 2013-11-11
Category : Technology & Engineering
ISBN : 9783662061534
The Boundary Element Methods (BEM) has become one of the most efficient tools for solving various kinds of problems in engineering science. The International Association for Boundary Element Methods (IABEM) was established in order to promote and facilitate the exchange of scientific ideas related to the theory and applications of boundary element methods. The aim of this symposium is to provide a forum for researchers in boundary element methods and boundary-integral formulations in general to present contemporary concepts and techniques leading to the advancement of capabilities and understanding of this com putational methodology. The topics covered in this symposium include mathematical and computational aspects, applications to solid mechanics, fluid mechanics, acoustics, electromagnetics, heat transfer, optimization, control, inverse problems and other interdisciplinary problems. Papers deal ing with the coupling of the boundary element method with other computational methods are also included. The editors hope that this volume presents some innovative techniques and useful knowl edge for the development of the boundary element methods. February, 1992 S. Kobayashi N. Nishimura Contents Abe, K.
Author : Yansheng Jiang
Publisher : Springer Science & Business Media
Page : 184 pages
File Size : 43,7 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783642839184
The aim of this book is to provide a new angle on the analysis of slope stability with the Boundary Element Method. The main advantages of BEM are the reduction of the dimensionality of the problem to be solved and accurate selective calculation of internal stresses. This makes it possible, as shown in the book, to develop the algorithms of slip surface analysis of slope more accurate, more rigorous and more easy to be used than in the conventional limit equilibrium methods. The full elastoplastic analysis of slope is also investigated. Besides, the interested reader can find a detailed study of Melan's fundamental solution such as its displacements, its corresponding Galerkin tensor and the treatment of body forces in the half-plan. The basic theory of BEM is outlined in the book so that undergraduate and graduate students of civil engineering, mining engineering and engineering geology can read it without difficulty.
Author : Evangelous J. Sapountzakis
Publisher : WIT Press
Page : 417 pages
File Size : 43,7 Mb
Release : 2010
Category : Technology & Engineering
ISBN : 9781845644925
This Festschrift is a collection of articles contributed by colleagues, collaborators and past students to honor Professor John T. Katsikadelis on the occasion of his 70 years. Professor Katsikadelis, now an emeritus professor at the National Technical University of Athens in Greece, is one of the BEM pioneers who started his research in this field with his PhD thesis at the Polytechnic Institute of New York in the 1970s and continued it to date.The book comprises 26 contributions by more than 50 leading researchers in Boundary Element Methods (BEM) and other Mesh Reduction Methods (MRM). All contributors are well-known scientists from Asia, Australia, Europe, and North and South America. The volume is essentially a collection of both original and review articles covering a variety of research topics in the areas of solid mechanics, fluid mechanics, potential theory, composite materials, fracture mechanics, damage mechanics, plasticity, heat transfer, dynamics and vibrations and soil-structure interaction. Invaluable to scientists, engineers and other professionals interested in the latest developments of the boundary integral equation methods, it addresses the needs of the BEM computational mechanics research community.The book is written for: researchers in academia and industry and graduate students focusing on solid and fluid mechanics as used in civil, mechanical and aerospace engineering.
Author : Cornelius T. Leondes
Publisher : Routledge
Page : 335 pages
File Size : 53,8 Mb
Release : 2021-09-01
Category : Mathematics
ISBN : 9781351413244
The finite element, an approximation method for solving differential equations of mathematical physics, is a highly effective technique in the analysis and design, or synthesis, of structural dynamic systems. Starting from the system differential equations and its boundary conditions, what is referred to as a weak form of the problem (elaborated in the text) is developed in a variational sense. This variational statement is used to define elemental properties that may be written as matrices and vectors as well as to identify primary and secondary boundaries and all possible boundary conditions. Specific equilibrium problems are also solved. This book clearly reveals the effectiveness and great significance of the finite element method available and the essential role it will play in the future as further development occurs.
Author : C. A. Brebbia,Jose Dominquez,F. París,F. Paris
Publisher : Computational Mechanics
Page : 744 pages
File Size : 41,8 Mb
Release : 1992
Category : Mathematics
ISBN : STANFORD:36105004070608
Author : Anonim
Publisher : Unknown
Page : 400 pages
File Size : 46,5 Mb
Release : 1948
Category : Mechanics, Applied
ISBN : OSU:32435026160655