Slope Analysis Using Boundary Elements
Slope Analysis Using Boundary Elements

Author: Yansheng Jiang

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 184

ISBN-13: 3642839185

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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.

The Scaled Boundary Finite Element Method
The Scaled Boundary Finite Element Method

Author: Chongmin Song

Publisher: John Wiley & Sons

Published: 2018-09-04

Total Pages: 500

ISBN-13: 1119388155

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An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

Computational Tensor Analysis of Shell Structures
Computational Tensor Analysis of Shell Structures

Author: Steve Naomis

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 321

ISBN-13: 3642842437

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This book presents a method which is capable of evaluating the deformation characteristics of thin shell structures A free vibration analysis is chosen as a convenient means of studying the displacement behaviour of the shell, enabling it to deform naturally without imposing any particular loading conditions. The strain-displacement equations for thin shells of arbitrary geometry are developed. These relationships are expressed in general curvilinear coordinates and are formulated entirely in the framework of tensor calculus. The resulting theory is not restricted to shell structures characterized by any particular geometric form, loading or boundary conditions. The complete displacement and strain equations developed by Flugge are approximated by the curvilinear finite difference method and are applied to computing the natural frequencies and mode shapes of general thin shells. This approach enables both the displacement components and geometric properties of the shell to be approximated numerically and accurately. The selection of an appropriate displacement field to approximate the deformation of the shell within each finite difference mesh is discussed in detail. In addition, comparisons are made between the use of second and third-order finite difference interpolation meshes.

Modern Practice in Stress and Vibration Analysis
Modern Practice in Stress and Vibration Analysis

Author: J. E. Mottershead

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 354

ISBN-13: 1483150925

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Modern Practice in Stress and Vibration Analysis documents the proceedings of the conference on Modern Practice in Stress and Vibration Analysis organized by the Stress Analysis Group of the Institute of Physics at the University of Liverpool, 3-5 April 1989. The Group has been known in the UK for its contribution in providing meetings with an emphasis on application, covering topics which range widely to include modern numerical techniques and advanced experimentation. The volume contains 34 papers presented by researchers at the conference covering a wide range of topics such as the application of the sensitivity analysis method to structural dynamics; passive and active vibration control for use in vibration suppression in spacecraft; analysis of an ultrasonically excited thick cylinder; and the prediction of vibrational power transmission through a system of jointed beams carrying longitudinal and flexural waves. It is hoped that the contributions published in this book will be of value to the broad community of practitioners in stress and vibration analysis whom the Stress Analysis Group exists to serve.

Boundary Element Method in Geomechanics
Boundary Element Method in Geomechanics

Author: W.S. Venturini

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 255

ISBN-13: 3642820999

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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.

Engineering Optimization in Design Processes
Engineering Optimization in Design Processes

Author: Hans A. Eschenauer

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 358

ISBN-13: 3642843972

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These proceedings contain the texts of 37 contributions presented at the International Conference on Engineering Optimization in an Industrial Environment, which took place on 3 - 4 September 1990 at the Karlsruhe Nuclear Hesearch Center, I~H Germany. The presentations consisted of oral and poster contributions arranged in five sessions: • Shape and layout optimization • Structural optimization with advanced materials • Optimal designs with special structural and material beha viour • Sensitivity analysis - Programme systems • Optimization with stability constraints - Special problems The editors wish to express their appreciation to all authors and invited speakers for their in teresting contributions. The proceedings cover a wide range of topics in structural optimization representing the present state of the art in the fields of research and in the industrial environment as well. The editors hope that this book will also contribute towards new ideas and concepts in a world of ever decreasing natural resources and ever increasing demands for lighter and yet stronger and safer technical components. I"inally, the editors wish to thank all colleagues who helped in the organisation of the conference, especially Mrs. E. Schroder anq Dr. K.llethge, as well as Mr. A. von lIagen and Mrs. E. Haufelder, Springer Publishing Company, Heidelberg for the good cooperation and help in the publication of these proceedings.

Thermal Effects in Fracture of Multiphase Materials
Thermal Effects in Fracture of Multiphase Materials

Author: Klaus P. Herrmann

Publisher: Springer Science & Business Media

Published: 2013-03-08

Total Pages: 258

ISBN-13: 3642884792

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This book contains a selection of the lectures presented at the Euromech Colloquium 255, held at the Liborianum, Paderborn, from 31 October to 2 November 1989. The subject of the Colloquium "Thermal Effects in Fracture of Multiphase Materials" attracted about 50 scientists from 13 coun tries. Several well known scientists who are active in research on thermal effects in fracture proces ses were present at the Colloquium as lecturers (29 lectures were delivered) as well as valuable participants of the intensive discussions which took part during the sessions, coffe breaks and lunch times. The closing session of the Colloquium was devoted to a general discussion on the trends in the development of the research in the field, the prospects of the theoretical research, new materials (composites, ceramics etc. ), and the trends in technological applications. Over twenty comments and remarks have been made during this final general discussion, showing the interest of the audi torium in such an exchange of viewpoints. However, this discussion is not reflected in this volume. The Colloquium has been subdivided into six sessions: I "Thermodynamics of Fracture Processes" II . "Fracture of Nonhomogeneous Solids" III "Thermal Cracking of Heterogeneous Materials" IV-VI "Fracture Phenomena in Composite Systems I-III" One of the main topics in session I consisted in the description of the influence of thermal effects on shear band localization failure. Thereby shear bands nucleate due.

Reliability and Optimization of Structural Systems ’91
Reliability and Optimization of Structural Systems ’91

Author: Rüdiger Rackwitz

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 486

ISBN-13: 3642847536

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This proceedings volume contains 38 papers presented at the 4th Working Conference on "Rel iability· and Optimization of Structural Systems", held at the Technical University of Munich, Germany, September 11- 13, 1991. The Working Conference was organised by the IFIP (Interna tional Federation for Information Processing) Working Group 7.5 of Technical Committee 7 and was the fourth in a series, following similar conferences held at the University of Aalborg, Den mark, May 1987, at the Imperial College, London, UK, September 1988 and at the University of California, Berkeley, California, USA, March 1990. The Working Conference was attended by 54 participants from 16 countries. The objectives of Working Group 7.5 are: • to promote modern structural systems optimization and reliability theory, • to advance international cooperation in the field of structural system optimization and reliability theory, • to stimulate research, development and application of structural system optimization and reli ability theory, • to further the dissemination and exchange of information on reliability and optimization of structural systems • to encourage education in structural system optimization and reliability theory. At present the members of the Working Group are: A. H.-S. Ang, U.S.A. M. Grimmelt, FRG G. A ugwti, Italy N. C. Lind, Canada M. J. Baker, UK H. O. Mad&en, Denmark P. Bjerager, Norway R. E. Melcher~, Australia C. A. Cornell, U.S.A. F. Mo~e~, U.S.A.

Wave Breaking
Wave Breaking

Author: Carlos M. Lemos

Publisher: Springer Science & Business Media

Published: 2013-03-13

Total Pages: 205

ISBN-13: 3642846882

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In this monograph, a finite difference algorithm for study- ing two dimensional wave breaking in the vertical plane is developed. The essential feature of this algorithm is the combination of the Volume-of-Fluid (VOF) technique for arbi- trary free surfaces and the k-E turbulence model. This me- thodology allows a self-contained study for wave transforma- tion processes in shallow water before, during and after breaking. This capability is illustrated in several calcula- tions. This book will be of interest for final year graduates, postgraduates and researchers working in the fields of tur- bulence modelling, wave hydrodynamics, coastal engineering, and oceanography of coastal regions.

Virtual Distortion Method
Virtual Distortion Method

Author: Jan Holnicki-Szulc

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 186

ISBN-13: 3642844537

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The theory of virtual distortions provides an efficient tool which can be used to treat many problems that differ from the physical point of view. The objective of this book is to present a general concept of the Virtual Distortion Method with the necessary theoretical background and a variety of its applications to problems of structural analysis and design. The book is focussed more on theoretical aspects of the problems than on the practical design of structurÄB. Nevertheless, a number of numerical algorithms discussed in the book has already been developed as a computational system capable to solve various problems of structural analysis.