Author: C.A. Brebbia
Publisher:
ISBN: 9781853122170
Category :
Languages : en
Pages : 222

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Book Description

Author: C. A. Brebbia
Publisher: Springer
ISBN: 1489928774
Category : Technology & Engineering
Languages : en
Pages : 268

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Book Description
As the Boundary Element Method develops into a tool of engineering analysis more effort is dedicated to studying new applications and solving different problems. This book contains chapters on the basic principles of the technique, time dependent problems, fluid mechanics, hydraulics, geomechanics and plate bending. The number of non-linear and time dependent problems which have become amenable to solution using boundary elements have induced many researchers to investigate in depth the basis of the method. Chapter 0 of this book presents an ap proach based on weighted residual and error approximations, which permits easy construction of the governing boundary integral equations. Chapter I reviews the theoretical aspects of integral equation formulations with emphasis in their mathematical aspects. The analysis of time dependent problems is presented in Chap. 2 which describes the time and space dependent integral formulation of heat conduction problems and then proposes a numerical procedure and time marching algorithm. Chapter 3 reviews the application of boundary elements for fracture mechanics analysis in the presence of thermal stresses. The chapter presents numerical results and the considerations on numerical accuracy are of interest to analysts as well as practising engineers.

Author: Carlos Alberto Brebbia (Informaticien)
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description

Author: Carlos A. Brebbia
Publisher: Springer
ISBN: 3662296519
Category : Science
Languages : en
Pages : 273

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Book Description
This series has been developed in response to the interest shown in boundary ele ments by scientists and engineers. Whilst Volume I was dedicated to basic principles and applications, this book is concerned with the state of the art in the solution of time-dependent problems. Since papers have recently been published on this im portant topic it is time to produce a work ofa morepermanent nature. The volume begins with a chapter on the Fundamentals of Boundary Integral Equation Methods in Elastodynamics. After reviewing the basic equations of elasto dynamics, the wave equation and dynamic reciprocal theorems are stated and the direct and indirect boundary element formulations are presented. Eigenvalue problems are discussed together with the case of the Fourier transformations. Several applications illustrate the etfectiveness ofthe technique for engineering. Chapter 2 examines some ofthe various boundary integral equation formulations available for elastodynamic problems. In particular the displacement-traction for mulation is compared with the displacement-potential case. The special character istics ofthe elastodynamics fundamental solutions are discussed in detail and a criti cal comparison with the elastostatics case is presented. While the chapter is not meant to be a complete review of the work in the field, the original presentation of the problern and the suggestions for further work make an important contribu tion to the development ofthe method.

Author: C. A. Brebbia
Publisher:
ISBN: 9781853123689
Category :
Languages : en
Pages :

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Book Description

Author: Carlos A. Brebbia
Publisher: Springer
ISBN: 9783662296523
Category : Science
Languages : en
Pages : 262

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Book Description

Author: Carlos A. Brebbia
Publisher: Springer
ISBN: 9783662281420
Category : Science
Languages : en
Pages : 0

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Book Description

Author: C. A. Brebbia
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages :

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Author: C. A. Brebbia
Publisher:
ISBN: 9781853123696
Category :
Languages : en
Pages :

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Book Description

Author: C. A. Brebbia
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 200

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Book Description
The first volume of this series dealt with the Basic Principles of Boundary Elements, while the second concentrated on time dependent problems and Volume three on the Computational Aspects of the method. This volume studies the applications of the method to a wide variety of geomechanics problems, most of which are ideally suited for boundary elements demonstrating the potentiality of the technique. Chapter 1 deals with the application of BEM to three dimensional elastody namics soil-structure interaction problems. It presents detailed formulations for rigid, massless foundations of arbitrary shape both in the frequency and time domains. The foundations are assumed to be resting on a linearly elastic, homogeneous, isotropic half-space and be subjected to externally applied loads on obliquely incident body. The chapter reviews the major advances in soil foundation interaction presents a series of numerical results and stresses the practical application of BEM, pointing out the high accuracy and efficiency of the technique, even when using coarse mesh discretizations.