Overview

This book presents various boundary element foundations, implementations and the results of linear and geometrically nonlinear problems of thin plates loaded in their own plane. It serves as a detailed introduction to the subject as well as a survey and exploration of the current techniques in the field. Although some knowledge of the boundary elements would be useful, the first four chapters of the book contain a presentation of the basic principles of the method as well as a detailed description of plate stability theory. Studies of accuracy versus computer requirements, applications of dual-reciprocity techniques based on Fourier series and incremental analyses of the nonlinear problem are of particular interest where comparison is made to experimental and finite element results.

Full Product Details

Author:   Abbas Elzein
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1991
Volume:   64
Dimensions:   Width: 17.00cm , Height: 1.20cm , Length: 24.20cm
Weight:   0.385kg
ISBN:  

9783540537106

ISBN 10:   3540537104
Pages:   205
Publication Date:   13 May 1991
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

1 Introduction.- 1.1 Historical Background.- 1.2 Stability.- 1.3 Experimental and Numerical Modelling.- 1.4 The Boundary Element Method.- 1.5 Plate Stability by BEM.- 1.6 Scope of the Present Work.- 2 Plate Stability Theory.- 2.1 Introduction.- 2.2 Stability of Structural Systems.- 2.3 Linear Theory.- 2.4 Large Deflections.- 2.5 Boundary Conditions.- 2.6 Numerical and Experimental Studies.- 2.7 Conclusions.- 3 Membrane State of Stress.- 3.1 Introduction.- 3.2 Boundary Integral Formulation.- 3.3 Boundary Element Solution.- 3.4 Numerical Implementation.- 3.5 Results.- 3.6 Conclusions.- 4 Critical Loads.- 4.1 Introduction.- 4.2 Boundary Integral Formulation.- 4.3 Boundary Element Solution.- 4.4 Numerical Implementation.- 4.5 Results.- 4.6 Conclusions.- 5 Dual Reciprocity.- 5.1 Introduction.- 5.2 Outline of the Method.- 5.3 The Discrete Points Fourier Analysis.- 5.4 The Deflection Models.- 5.5 Transformation of L(w).- 5.6 Transformation of the Domain Integral.- 5.7 The Problem of Singular Integrals.- 5.8 Eigenvalue Problem.- 5.9 Numerical Implementation.- 5.10 Results.- 5.11 Conclusions.- 6 Large Deflections.- 6.1 Introduction.- 6.2 Boundary Integral Formulation.- 6.3 Domain Deflection Models.- 6.4 Boundary Element Solution.- 6.5 Solution of the System of Equations.- 6.6 Numerical Implementation.- 6.7 Results.- 6.8 Conclusions.- 7 Conclusions.- Appendix A The Green’s Identities.- Appendix B Functions of the Fundamental Solutions.- Appendix C Trigonometric Deflection Functions.- References.

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