Jaswon, M.A. and Symm, G.T.Integral Equation Methods in Potential Theory and Elastostatics1977Academic PressLondon278 ppISBN: 0 12 381050 7Integral equations, as the authors of this book demonstrate, providedistinctive formulations of the fundamental boundary-value problems ofpotential theory and elastostatics. These formulations often yieldeffective solutions which fall beyond the scope of other approaches.This monograph on the subject brings together theory and practice andincludes much previously unpublished material. The first part of thevolume gives a very clear description of the theory of integralequations in potential theory and elastostatics, provinding, as one ofits features, the first unifying account of scalar and vector potentialtheory using a common formalism. In the second part, the authorsdiscuss numerical methods for solving the integral equationformulations of practical problems, using their own extensive researchas a basis. The theory is illustrated by a wealth of numericalsolutions drawn from a variety of fields, including electrostatics,potential fluid flow, heat conduction, and the stretching and bendingof thin plates. An extensive list of references is provided, which alsocovers recent interesting numerical solutions of problems inthree-dimensional elastostatics.The book should be of direct use to engineers interested in a newapproach to and of the fields mentioned, and it would also be suitablefor postgraduates requiring a guide to this rapidly evolving subject.
Brebbia, C.A.and Walker, S. Boundary Element Techniques in Engineering 1980 Butterworths ISBN: 0 408 00340 5 The mathematics of the boundary element technique in a simplified form as well as applications of the BEM as presented. The book contains seven chapters which cover: boundary element method and weighted residuals method, direct and indirect formulations, flow of fluid around a cylinder between parallel plates, linear, quadrilateral and higher-order elements for 2-D potential problems, boundary elements for 3-D problems, boundary element method and solution of boundary value problems, 2-D problems of the theory of elasticity, time-dependent and non-linear problems, problem solutions in connection with the irregularity or nonhomogeneity (several regions).
fundamentals of thermal fluid sciences 3rd solution manual.zip
Download: https://urlcod.com/2vEr2K
Banerjee, P.K.and Butterfield, R. Boundary Element Methods in Engineering Science 1981 McGraw-Hill Book Company New York 452 pp ISBN: 0 07 084120 9 The book provides an introduction to the fundamentals of BEM, and demonstrates the power and versatility of the method in different areas of application. The book contains 15 chapters with the following topics: an introdcution to BEM, some 1-D problems, 2-D problems of steady state potential flow, 2-D problems of elastostatics, 3-D problems of steady state potential flow, 3-D problems in elasticity, problems of edges and corners, parametric representation of functions and geometry, transient potential flow (diffusion) problems, transient problems in elasticity, plate-bending problems, elastoplasticity, examples in fluid mechanics, combination of BEM with other numerical methods, and computer implementation of BEM (the program listing is included). Three appendices and an Index complete the book.
Kitahara, M.Boundary Integral Equation Methods in Eigenvalue Problems ofElastodynamics and Thin Plates1986Studies in Applied Mechanics - Vol 10Elsevier Science PublishersAmsterdam282 ppISBN: 0 444 42447 4This book contains two parts. The first one handles the analyticalformulation and numerical solution for 2-D problems of vibration andscattering. The second part considers the application of BIE methods tothe vibration and buckling characteristics of thin plates. The firstpart of the book consists of seven chapters, the second one of threechapters. Some topics treated: the basis of the application of integralequation methods to eigenvalue problems, the integral equationformulation in terms of the various boundary value problems, eigenvalueproblems for 2-D boundary integral equation formulation, analyticaltreatment of the BIE for circular and annular domains, numericaleigenvalue solution for the integral equation formulation, eigenvalueproblems of antiplane elastodynamics, review of numerical analysisresults for 2-D eigenvalue problems, integral equation fundamentals forthin plate problems, numerical analysis of eigenvalue problems for plates.
Gipson, G.S.Boundary Element Fundamentals: Basic Concepts of Recent Developments inthe Poisson Equation1987Topics in Engineering - Vol 2Computational Mechanics PublicationsSouthampton288 ppISBN: 0 905451 80 5The book contains seven chapters, one of them contains a listing of aboundary element program. It is devoted to discussion of thefundamentals and the Poisson equation. The presented chapters cover:integral equations and Green's functions, approximation methods withemphasis on the weighted residual method, boundary element methods andLaplace and Poisson types of differential equations, examples ofLaplace problems, solution of the Poisson equation, Monte Carlo methodand boundary elements, examples of the Poisson problem, description andlisting of a FORTRAN code for Laplace and Poisson equations.
Hartmann, F. Introduction to Boundary Elements 1987 Springer-Verlag Berlin 378 pp ISBN: 0 387 17336 6 This book consists of an introduction, nine chapters, a list of references, a bibliography and a description of available computer programs. The bibliography contains 300 references. In addition to the text, three computer programs for the solution of the membrane, plane elasticity, and plate flexure problems are included. These programs are written in TURBO-PASCAL for the IBM PC and compatible computers. The book deals with the subjects as: fundamentals of the BEM, 1-D problems, plane problems of the theory of elasticity, problems with non-linear materials, plate bending, coupling of FEM and BEM, and dynamic problems.
Wrobel, L.C.Two Dimensional Potential Analysis using Boundary Elements1987Software Package SeriesComputational Mechanics PublicationsSouthampton186 pp plus disketteISBN: 0 905451 64 3The book starts by discussing the basic theory of the method and theformulation of the problem in terms of integral equations and boundaryelements. The development is focused on the solution of Laplace'sequation which can be used to solve steady state heat conduction,groundwater flow problems, flow of ideal fluids, electrostatics and otherengineering problems. This part is followed by a description of anefficient code written in FORTRAN, running on IBM PC compatiblehardware. The program runs interactively and has a preprocessor whichsimplifies the input. The program, preprocessor and data files are allprovided on the floppy disk. Several applications of the code arepresented.
Amini, S., Harris, P.J. and Wilton, D.T.Coupled Boundary and Finite Element Methods for the Solution of theDynamic Fluid-Structure interaction Problem1992Lecture Notes in Engineering - Vol 77Springer-VerlagBerlinThis text considers the problem of the dynamic fluid-structureinteraction between a finite elastic structure and the acoustic fieldin an unbounded fluid-filled exterior domain.The exterior acoustic field is modelled through a boundaryintegral equation over the structure surface. However, the classicalboundary integral equation formulations of this problem either have nosolutions or do not have unique solutions at certain characteristicfrequencies (which depend on the surface geometry) and it is necessaryto employ modified boundary integral equation formulations which arevalid for all frequencies. The particular approach adopted hereinvolves an arbitrary coupling parameter and the effect that thisparameter has on the stability and accuracy of the numerical methodused to solve the integral equation is examined.The boundary integral analysis of the exterior acoustic problem iscoupled with a finite element analysis of the elastic structure inorder to investigate the interaction between the dynamic behaviour ofthe structure and the associated acoustic field. Recently there hasbeen some controversy over whether or not the coupled problem alsosuffers from the non-uniqueness problem associated with the classicalintegral equation formulations of the exterior acoustic problem. Thisquestion is resolved by demonstrating that the solution to the coupledproblem is not unique at the characteristic frequencies and that it isnecessary to employ an integral equation formulation valid for allfrequencies. Numerical results are presented and discussed for both theuncoupled acoustic problem and the coupled fluid-structure interactionproblem for a number of axisymmetric and fully three-dimensionalproblems. In particular, the method is applied to the coupled problemof a piezoelastic ring sonar transducer transmitting an acoustic signalin water for which reasonable agreement between the theoreticalpredictions and some experimental results is observed.
Pozrikidis, C.Boundary Integral and Singularity Methods for Linearized Viscous Flow1992Cambridge University PressCambridgeISBN: 0 521 40502 5(hardback)ISBN: 0 521 40693 5 (paperback)Over the last two decades, boundary integral and singularity methodshave enjoyed increasing popularity, and have become a viable alternativeto traditional theoretical and computational methods of mathematicalengineering and physics. Their development continues to be a topic ofactive research, especially in the areas of potential theory, solidmechanics, and fluid mechanics.The aim of this book is to bring together classical and recentdevelopments in the particular field of Newtonian flow at low Reynoldsnumbers. The methods are developed from first principles, alternativeformulations are compared, and a variety of configurations are addressed.The proper mathematical framework is discussed in the context offunctional analysis and integral-equation theory, and procedures ofnumerical solutions in the context of the boundary element method areintroduced. The text contains original material pertaining to the propertiesand explicit form of the Green's functions, and the theory of the integralequations that arise from boundary integral representations.The targeted audience includes graduate students and academic orindustrial researchers in engineering, computer science, and appliedmathematics. The only prerequisites are fundamental knowledge offluid mechanics, functional analysis, and numerical methods.
2ff7e9595c
Comments