Discretization Methods In Structural Mechanics

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Discretization Methods in Structural Mechanics

Günther Kuhn,Herbert Mang
Discretization Methods in Structural Mechanics Book PDF

Author : Günther Kuhn,Herbert Mang
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 40,8 Mb
Release : 2013-03-08
Category : Technology & Engineering
ISBN : 9783642493737

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Discretization Methods in Structural Mechanics by Günther Kuhn,Herbert Mang Pdf

The advent of the digital computer has given great impetus to the development of modern discretization methods in structural mechanics. The young history of the finite element method (FEM) reflects the dramatic increase of computing speed and storage capacity within a relatively short period of time. The history of the boundary element method (BEM) is still younger. Presently, intense scientific efforts aimed at extending the range of application of the BEM can be observed. More than 10 years ago, O.C. Zienkiewicz and his co-workers published the first papers on the coupling of FE and BE discretizations of subregions of solids for the purpose of exploiting the complementary advantages of the two discretization methods and reducing their disadvantages. The FEM has revolutionized structural analysis in industry as well as academia. The BEM has a fair share in the continuation of this revolution. Both discretization methods have become a domain of vigorous, world-wide research activities. The rapid increase of the number of specialized journals and scientific meetings indicates the remarkable increase of research efforts in this important subdolll.ain of computational ulechanics. Several discussions of this situation in the Committee for Discretization Methods ill Solid Mechanics of the Society for Applied Mathematics and Mechanics (GAMM) resulted in the plan to submit a proposal to the General Assembly of the International Union of Theoretical and Applied Mechanics (IUTAM) to sponsor a pertinent IUTAM Symposium.

IUTAM Symposium on Discretization Methods in Structural Mechanics

H.A. Mang,F.G. Rammerstorfer
IUTAM Symposium on Discretization Methods in Structural Mechanics Book PDF

Author : H.A. Mang,F.G. Rammerstorfer
Publisher : Springer Science & Business Media
Page : 387 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401145893

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IUTAM Symposium on Discretization Methods in Structural Mechanics by H.A. Mang,F.G. Rammerstorfer Pdf

The JUT AMlIACM Symposium on Discretization Methods in Structural Mechanics was nd th held in Vienna, Austria, from 2 to 6 June 1997. The site of the Symposium was the "Theatersaal" of the Austrian Academy of Sciences. The Symposium was attended by 71 persons from 23 countries. In addition, several Austrian graduate students and research associates participated in the meeting. In the 5-day Symposium a total of 48 papers were presented. All of them were invited and accorded equal weight in the programme. The following topics were covered: • Error-controlled adaptivity of finite element methods • Large deformations and buckling, including inelastic deformations • Inelastic brittle or ductile localization, phase transition and system failure, resulting from monotonic, cyclic or impact loading • Sensitivity analysis and inverse problems with special emphasis on identification of material parameters • Development of linear and nonlinear finite element methods for thin-walled structures and composites • Implicit integration schemes for nonlinear dynamics • Coupling of rigid and deformable structures; fluid-structures and acoustic-structure interaction • Competitive numerical methods (finite element methods, boundary element methods, coupling ofthese two methods) • Identification of material and structural data. Comments on details of the treatment of these topics are contained in the Concluding Remarks. The Editors would like to express their appreciation to E. Stein who has prepared these Concluding Remarks.

Numerical and Computer Methods in Structural Mechanics

Steven J. Fenves,Nicholas Perrone,Arthur R. Robinson
Numerical and Computer Methods in Structural Mechanics Book PDF

Author : Steven J. Fenves,Nicholas Perrone,Arthur R. Robinson
Publisher : Elsevier
Page : 698 pages
File Size : 45,6 Mb
Release : 2014-05-10
Category : Technology & Engineering
ISBN : 9781483272542

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Numerical and Computer Methods in Structural Mechanics by Steven J. Fenves,Nicholas Perrone,Arthur R. Robinson Pdf

Numerical and Computer Methods in Structural Mechanics is a compendium of papers that deals with the numerical methods in structural mechanics, computer techniques, and computer capabilities. Some papers discus the analytical basis of the computer technique most widely used in software, that is, the finite element method. This method includes the convergence (in terms of variation principles) isoparametrics, hybrid models, and incompatible displacement models. Other papers explain the storage or retrieval of data, as well as equation-solving algorithms. Other papers describe general-purpose structural mechanics programs, alternatives to, and extension of the usual finite element approaches. Another paper explores nonlinear, dynamic finite element problems, and a direct physical approach to determine finite difference models. Special papers explain structural mechanics used in computing, particularly, those related to integrated data bases, such as in the Structures Oriented Exchange System of the Office of Naval Research and the integrated design of tanker structures. Other papers describe software and hardware capabilities, for example, in ship design, fracture mechanics, biomechanics, and crash safety. The text is suitable for programmers, computer engineers, researchers, and scientists involved in materials and industrial design.

Discretization Methods and Structural Optimization — Procedures and Applications

Hans A. Eschenauer,Georg Thierauf
Discretization Methods and Structural Optimization Procedures and Applications Book PDF

Author : Hans A. Eschenauer,Georg Thierauf
Publisher : Springer Science & Business Media
Page : 377 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642837074

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Discretization Methods and Structural Optimization — Procedures and Applications by Hans A. Eschenauer,Georg Thierauf Pdf

In recent years, the Finite Element Methods FEM were more and more employed in development and design departments as very fast working tools in order to determine stresses, deformations, eigenfrequencies etc. for all kinds of constructions under complex loading conditions. Meanwhile. very effective software systems have been developed by various research teams although some mathematical problems (e. g. convergence) have not been solved satisfac torily yet. In order to make further advances and to find a common language between mathe maticians and mechanicians the "Society for Applied Mathematics and Mechanics" (GAMM) agreed on the foundation of a special Committee: "Discretization Methods in Solid Mechanics" focussing on the following problems: - Structuring of various methods (displacement functions, hybrid and mixed approaches, etc. >, - Survey of approach functions (Lagrange-/Hermite-polynominals, Spline-functions), - Description of singularities, - Convergence and stability, - Practical and theoretical optimality to all mentioned issues (single and interacting). One of the basic aims of the GAMM-Committee is the interdisciplinary cooperation between mechanicians, mathematicians, and users which shall be intensified. Thus, on September 22, 1985 the committee decided to hold a seminar on "Structural Optimization" in order to allow an exchange of experiences and thoughts between the experts of finite element methods and those of structural optimization. A GAMM-seminar entitled "Discretization Methods and Structural Optimization - Procedures and Applications" was hold on October 5-7, 1988 at the Unversity of Siegen.

Energy and Finite Element Methods in Structural Mechanics

Irving H Shames
Energy and Finite Element Methods in Structural Mechanics Book PDF

Author : Irving H Shames
Publisher : CRC Press
Page : 784 pages
File Size : 40,5 Mb
Release : 1985-01-01
Category : Science
ISBN : 0891165053

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Energy and Finite Element Methods in Structural Mechanics by Irving H Shames Pdf

THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.

Energy and Finite Element Methods in Structural Mechanics

IrvingH Shames
Energy and Finite Element Methods in Structural Mechanics Book PDF

Author : IrvingH Shames
Publisher : Routledge
Page : 776 pages
File Size : 49,8 Mb
Release : 2018-05-08
Category : Science
ISBN : 9781351451468

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Energy and Finite Element Methods in Structural Mechanics by IrvingH Shames Pdf

THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.

Computational Engineering - Introduction to Numerical Methods

Michael Schäfer
Computational Engineering Introduction to Numerical Methods Book PDF

Author : Michael Schäfer
Publisher : Springer Nature
Page : 374 pages
File Size : 42,7 Mb
Release : 2021-07-19
Category : Technology & Engineering
ISBN : 9783030760274

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Computational Engineering - Introduction to Numerical Methods by Michael Schäfer Pdf

Numerical simulation methods in all engineering disciplines gains more and more importance. The successful and efficient application of such tools requires certain basic knowledge about the underlying numerical techniques. The text gives a practice-oriented introduction in modern numerical methods as they typically are applied in mechanical, chemical, or civil engineering. Problems from heat transfer, structural mechanics, and fluid mechanics constitute a thematical focus of the text. For the basic understanding of the topic aspects of numerical mathematics, natural sciences, computer science, and the corresponding engineering area are simultaneously important. Usually, the necessary information is distributed in different textbooks from the individual disciplines. In the present text the subject matter is presented in a comprehensive multidisciplinary way, where aspects from the different fields are treated insofar as it is necessary for general understanding. Overarching aspects and important questions related to accuracy, efficiency, and cost effectiveness are discussed. The topics are presented in an introductory manner, such that besides basic mathematical standard knowledge in analysis and linear algebra no further prerequisites are necessary. The book is suitable either for self-study or as an accompanying textbook for corresponding lectures. It can be useful for students of engineering disciplines as well as for computational engineers in industrial practice.

Nonlinear Structural Mechanics

Walter Lacarbonara
Nonlinear Structural Mechanics Book PDF

Author : Walter Lacarbonara
Publisher : Springer Science & Business Media
Page : 812 pages
File Size : 49,9 Mb
Release : 2013-01-09
Category : Science
ISBN : 9781441912763

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Nonlinear Structural Mechanics by Walter Lacarbonara Pdf

This book reviews the theoretical framework of nonlinear mechanics, covering computational methods, applications, parametric investigations of nonlinear phenomena and mechanical interpretation towards design. Builds skills via increasing levels of complexity.

Uncertainty and Optimization in Structural Mechanics

Abdelkhalak El Hami,Bouchaib Radi
Uncertainty and Optimization in Structural Mechanics Book PDF

Author : Abdelkhalak El Hami,Bouchaib Radi
Publisher : John Wiley & Sons
Page : 149 pages
File Size : 52,5 Mb
Release : 2013-03-11
Category : Technology & Engineering
ISBN : 9781848215177

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Uncertainty and Optimization in Structural Mechanics by Abdelkhalak El Hami,Bouchaib Radi Pdf

Optimization is generally a reduction operation of a definite quantity. This process naturally takes place in our environment and through our activities. For example, many natural systems evolve, in order to minimize their potential energy. Modeling these phenomena then largely relies on our capacity to artificially reproduce these processes. In parallel, optimization problems have quickly emerged from human activities, notably from economic concerns. This book includes the most recent ideas coming from research and industry in the field of optimization, reliability and the recognition of accompanying uncertainties. It is made up of eight chapters which look at the reviewing of uncertainty tools, system reliability, optimal design of structures and their optimization (of sizing, form, topology and multi-objectives) – along with their robustness and issues on optimal safety factors. Optimization reliability coupling will also be tackled in order to take into account the uncertainties in the modeling and resolution of the problems encountered. The book is aimed at students, lecturers, engineers, PhD students and researchers. Contents 1. Uncertainty. 2. Reliability in Mechanical Systems. 3. Optimal Structural Design. 4. Multi-object Optimization with Uncertainty. 5. Robust Optimization. 6. Reliability Optimization. 7. Optimal Security Factors Approach. 8. Reliability-based Topology Optimization. About the Authors Abdelkhalak El Hami is Professor at the Institut National des Sciences Appliquées, Rouen, France. He is the author of many articles and books on optimization and uncertainty. Bouchaib Radi is Professor in the Faculty of Sciences and Technology at the University of Hassan Premier, Settat, Morocco. His research interests are in such areas as structural optimization, parallel computation, contact problem and metal forming. He is the author of many scientific articles and books.

Optimization of Large Structural Systems

George I. N. Rozvany
Optimization of Large Structural Systems Book PDF

Author : George I. N. Rozvany
Publisher : Springer Science & Business Media
Page : 1201 pages
File Size : 50,8 Mb
Release : 2013-11-21
Category : Technology & Engineering
ISBN : 9789401095778

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Optimization of Large Structural Systems by George I. N. Rozvany Pdf

G.I.N. Rozvany ASI Director, Professor of Structural Design, FB 10, Essen University, Essen, Germany Structural optimization deals with the optimal design of all systems that consist, at least partially, of solids and are subject to stresses and deformations. This inte grated discipline plays an increasingly important role in all branches of technology, including aerospace, structural, mechanical, civil and chemical engineering as well as energy generation and building technology. In fact, the design of most man made objects, ranging from space-ships and long-span bridges to tennis rackets and artificial organs, can be improved considerably if human intuition is enhanced by means of computer-aided, systematic decisions. In analysing highly complex structural systems in practice, discretization is un avoidable because closed-form analytical solutions are only available for relatively simple, idealized problems. To keep discretization errors to a minimum, it is de sirable to use a relatively large number of elements. Modern computer technology enables us to analyse systems with many thousand degrees of freedom. In the optimization of structural systems, however, most currently available methods are restricted to at most a few hundred variables or a few hundred active constraints.

IUTAM Symposium on Discretization Methods for Evolving Discontinuities

Alain Combescure,René, de Borst,Ted Belytschko
IUTAM Symposium on Discretization Methods for Evolving Discontinuities Book PDF

Author : Alain Combescure,René, de Borst,Ted Belytschko
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 54,6 Mb
Release : 2010-04-07
Category : Technology & Engineering
ISBN : 9781402065309

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IUTAM Symposium on Discretization Methods for Evolving Discontinuities by Alain Combescure,René, de Borst,Ted Belytschko Pdf

In recent years, discretization methods have been proposed which are more flexible and which have the potential of capturing (moving) discontinuities in a robust and efficient manner. This monograph assembles contributions of leading experts with the most recent developments in this rapidly evolving field. It provides the most comprehensive coverage of state-of-the art numerical methods for treating discontinuities in mechanics.

Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics

Erwin Stein
Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics Book PDF

Author : Erwin Stein
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 55,6 Mb
Release : 2007-04-02
Category : Technology & Engineering
ISBN : 9783211380604

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Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics by Erwin Stein Pdf

This course with 6 lecturers intends to present a systematic survey of recent re search results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for adaptivity, error analysis as well as h- and p-adaptive refinement techniques including meshing and remeshing. Challenging applications are of equal importance, including elastic and elastoplastic deformations of solids, con tact problems and thin-walled structures. Some major topics should be pointed out, namely: (i) The growing importance of goal-oriented and local error estimates for quan tities of interest—in comparison with global error estimates—based on dual finite element solutions; (a) The importance of the p-version of the finite element method in conjunction with parameter-dependent hierarchical approximations of the mathematical model, for example in boundary layers of elastic plates; (Hi) The choice of problem-oriented error measures in suitable norms, consider ing residual, averaging and hierarchical error estimates in conjunction with the efficiency of the associated adaptive computations; (iv) The importance of implicit local postprocessing with enhanced test spaces in order to get constant-free, i. e. absolute-not only relative-discretizati- error estimates; (v) The coupling of error-controlled adaptive discretizations and the mathemat ical modeling in related subdomains, such as boundary layers. The main goals of adaptivity are reliability and efficiency, combined with in sight and access to controls which are independent of the applied discretization methods. By these efforts, new paradigms in Computational Mechanics should be realized, namely verifications and even validations of engineering models.

Energy Methods in Structural Mechanics

Federico Guarracino,Alastair Walker
Energy Methods in Structural Mechanics Book PDF

Author : Federico Guarracino,Alastair Walker
Publisher : Thomas Telford
Page : 444 pages
File Size : 43,8 Mb
Release : 1999
Category : Technology & Engineering
ISBN : 0727727575

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Energy Methods in Structural Mechanics by Federico Guarracino,Alastair Walker Pdf

- Work and energy - Kinematics and equilibrium of systems of rigid bodies - Deformation of bodies and material properties - Theory of elastic deformation of beams - General principles in the analysis of linear elastic structures - Total potential energy - The method of trial functions - Matrix analysis of pin-jointed trussed structures - Matrix analysis of rigid-jointed framed structures - Analysis of thin plates - The theory of finite elements - Stability of equilibrium and non-linear deformations of beam-columns

Non-standard Discretisation Methods in Solid Mechanics

Jörg Schröder,Peter Wriggers
Non standard Discretisation Methods in Solid Mechanics Book PDF

Author : Jörg Schröder,Peter Wriggers
Publisher : Springer Nature
Page : 561 pages
File Size : 48,8 Mb
Release : 2022-04-14
Category : Technology & Engineering
ISBN : 9783030926724

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Non-standard Discretisation Methods in Solid Mechanics by Jörg Schröder,Peter Wriggers Pdf

This edited volume summarizes research being pursued within the DFG Priority Programme 1748: "Reliable Simulation Methods in Solid Mechanics. Development of non-standard discretisation methods, mechanical and mathematical analysis", the aim of which was to develop novel discretisation methods based e.g. on mixed finite element methods, isogeometric approaches as well as discontinuous Galerkin formulations, including a sound mathematical analysis for geometrically as well as physically nonlinear problems. The Priority Programme has established an international framework for mechanical and applied mathematical research to pursue open challenges on an inter-disciplinary level. The compiled results can be understood as state of the art in the research field and show promising ways of further research in the respective areas. The book is intended for doctoral and post-doctoral students in civil engineering, mechanical engineering, applied mathematics and physics, as well as industrial researchers interested in the field.

Advances in Boundary Element Techniques

James H. Kane,Giulio Maier,Nobuyoshi Tosaka,S.N. Atluri
Advances in Boundary Element Techniques Book PDF

Author : James H. Kane,Giulio Maier,Nobuyoshi Tosaka,S.N. Atluri
Publisher : Springer Science & Business Media
Page : 516 pages
File Size : 53,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642510274

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Advances in Boundary Element Techniques by James H. Kane,Giulio Maier,Nobuyoshi Tosaka,S.N. Atluri Pdf

The editors have published a select group of full length papers on boundary element analysis (BEA) photographed from camera ready manuscripts. The articles have been prepared by some of the most distinguished and prolific individuals in this field. More than half of these articles have been submitted by authors that participated in an International Forum on Boundary Element Methods, in Melbourne Australia, in the Summer of 1991. However, this volume is not a conference proceedings, as these authors have expanded their accounts to chapter length, and/or have tailored their expositions more toward the style employed in archival journal publications. The authors that did not participate in the International Forum have also adhered to the above mentioned philosophy. This work contains a definitive representation of the significant capabilities and applications currently available or under investigation that fall under the general category of advanced boundary element analysis. With treatments of mechanical, thermal, fluid, and electromagnetic phenomena, this book should thus be of value to graduate students, practitioners, and researchers in engineering, mathematics, and the physical sciences wishing to obtain a broader perspective or remain current in these important areas of computational simulation.