Stress Analysis By Boundary Element Methods

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Stress Analysis by Boundary Element Methods

Author : J. Balaš,J. Sládek,V. Sládek
Publisher : Elsevier
Page : 699 pages
File Size : 48,6 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483291741

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Stress Analysis by Boundary Element Methods by J. Balaš,J. Sládek,V. Sládek Pdf

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.

Advances in Boundary Elements

Author : C. A. Brebbia,Jerome J. Connor
Publisher : Unknown
Page : 472 pages
File Size : 45,6 Mb
Release : 1989
Category : Boundary element methods
ISBN : 185312026X

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Advances in Boundary Elements by C. A. Brebbia,Jerome J. Connor Pdf

Boundary Elements IX: Stress analysis applications

Author : C. A. Brebbia,Wolfgang L. Wendland,G. Kuhn
Publisher : Unknown
Page : 670 pages
File Size : 43,7 Mb
Release : 1987
Category : Mathematics
ISBN : WISC:89038802948

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Boundary Elements IX: Stress analysis applications by C. A. Brebbia,Wolfgang L. Wendland,G. Kuhn Pdf

Boundary Element Methods

Author : Anonim
Publisher : Institute of Physics Publishing (GB)
Page : 134 pages
File Size : 47,6 Mb
Release : 1986
Category : Mathematics
ISBN : UOM:39015013040525

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Boundary Element Methods by Anonim Pdf

Advances in Boundary Elements

Author : C. A. Brebbia,Jerome J. Connor
Publisher : Unknown
Page : 450 pages
File Size : 42,9 Mb
Release : 1989
Category : Boundary element methods
ISBN : 0945824122

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Advances in Boundary Elements by C. A. Brebbia,Jerome J. Connor Pdf

Boundary Element Method in Geomechanics

Author : W.S. Venturini
Publisher : Springer
Page : 212 pages
File Size : 55,5 Mb
Release : 1983-08-01
Category : Mathematics
ISBN : 3540126538

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Boundary Element Method in Geomechanics by W.S. Venturini Pdf

Numerical techniques for solving many problems in continuum mechanics have experienced a tremendous growth in the last twenty years due to the development of large high speed computers. In particular, geomechanical stress analysis can now be modelled within a more realistic context. In spite of the fact that many applications in geomechanics are still being carried out applying linear theories, soil and rock materials have been demonstrated experimentally to be physically nonlinear. Soils do not recover their initial state after removal of temporary loads and rock does not deform in proportion to the loads applied. The search for a unified theory to model the real response of these materials is impossible due to the complexities involved in each case. Realistic solutions in geomechanical analysis must be provided by considering that material properties vary from point to point, in addition to other significant features such as non-homogeneous media, in situ stress condition, type of loading, time effects and discontinuities. A possible alternative to tackle such a problem is to inttoduce some simplified assumptions which at least can provide an approximate solution in each case. The validity or accuracy of the final solution obtained is always dependent upon the approach adopted. As a consequence, the choice of a reliable theory for each particular problem is another difficult decision which should be 2 taken by the analyst in geomechanical stress analysis.

Boundary Element Method in Geomechanics

Author : W.S. Venturini
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 44,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642820991

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Boundary Element Method in Geomechanics by W.S. Venturini Pdf

Numerical techniques for solving many problems in continuum mechanics have experienced a tremendous growth in the last twenty years due to the development of large high speed computers. In particular, geomechanical stress analysis can now be modelled within a more realistic context. In spite of the fact that many applications in geomechanics are still being carried out applying linear theories, soil and rock materials have been demonstrated experimentally to be physically nonlinear. Soils do not recover their initial state after removal of temporary loads and rock does not deform in proportion to the loads applied. The search for a unified theory to model the real response of these materials is impossible due to the complexities involved in each case. Realistic solutions in geomechanical analysis must be provided by considering that material properties vary from point to point, in addition to other significant features such as non-homogeneous media, in situ stress condition, type of loading, time effects and discontinuities. A possible alternative to tackle such a problem is to inttoduce some simplified assumptions which at least can provide an approximate solution in each case. The validity or accuracy of the final solution obtained is always dependent upon the approach adopted. As a consequence, the choice of a reliable theory for each particular problem is another difficult decision which should be 2 taken by the analyst in geomechanical stress analysis.

Boundary Elements XIV

Author : C. A. Brebbia,Jose Dominquez,F. París,F. Paris
Publisher : Computational Mechanics
Page : 744 pages
File Size : 50,7 Mb
Release : 1992
Category : Mathematics
ISBN : STANFORD:36105004070608

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Boundary Elements XIV by C. A. Brebbia,Jose Dominquez,F. París,F. Paris Pdf

Stress Analysis by Boundary Element Methods

Author : Ján Balaš,Ján Sládek,Vladimír Sládek
Publisher : Unknown
Page : 686 pages
File Size : 44,9 Mb
Release : 1989
Category : Electronic
ISBN : 0444417583

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Stress Analysis by Boundary Element Methods by Ján Balaš,Ján Sládek,Vladimír Sládek Pdf

Boundary Elements X: Stress analysis

Author : C. A. Brebbia
Publisher : Unknown
Page : 714 pages
File Size : 50,8 Mb
Release : 1988
Category : Mathematics
ISBN : UCAL:B4388405

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Boundary Elements X: Stress analysis by C. A. Brebbia Pdf

Developments in Boundary Element Methods

Author : P.K. Banerjee,B. Wilson
Publisher : CRC Press
Page : 299 pages
File Size : 53,5 Mb
Release : 2005-12-07
Category : Architecture
ISBN : 9780203974506

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Developments in Boundary Element Methods by P.K. Banerjee,B. Wilson Pdf

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

The Boundary Integral Equatio Method in Axisymmetric Stress Analysis Problems

Author : Adib A. Bakr
Publisher : Springer Science & Business Media
Page : 227 pages
File Size : 42,9 Mb
Release : 2013-03-12
Category : Science
ISBN : 9783642826443

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The Boundary Integral Equatio Method in Axisymmetric Stress Analysis Problems by Adib A. Bakr Pdf

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.

Boundary Element Programming in Mechanics

Author : Xiao-Wei Gao,Trevor G. Davies
Publisher : Cambridge University Press
Page : 274 pages
File Size : 53,8 Mb
Release : 2002-03-11
Category : Science
ISBN : 0521773598

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Boundary Element Programming in Mechanics by Xiao-Wei Gao,Trevor G. Davies Pdf

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.