Adaptive Finite Elements In Linear And Nonlinear Solid And Structural Mechanics

Author : Erwin Stein
Publisher : Springer Science & Business Media
Page : 368 pages
File Size : 48,6 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.

Author : Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary
Publisher : John Wiley & Sons
Page : 834 pages
File Size : 47,9 Mb
Release : 2014-01-07
Category : Science
ISBN : 9781118632703

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Nonlinear Finite Elements for Continua and Structures by Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary Pdf

Nonlinear Finite Elements for Continua and Structures p>Nonlinear Finite Elements for Continua and Structures This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended Finite Element Method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation- density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today’s software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must-have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners.

Author : René de Borst,Mike A. Crisfield,Joris J. C. Remmers,Clemens V. Verhoosel
Publisher : John Wiley & Sons
Page : 481 pages
File Size : 54,7 Mb
Release : 2012-07-25
Category : Technology & Engineering
ISBN : 9781118376010

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Nonlinear Finite Element Analysis of Solids and Structures by René de Borst,Mike A. Crisfield,Joris J. C. Remmers,Clemens V. Verhoosel Pdf

Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist René de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield's first edition is acclaimed. Together with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalled engineering approach assures this book's unique position within the computational mechanics literature. Key features: Combines the two previous volumes into one heavily revised text with obsolete material removed, an improved layout and updated references and notations Extensive new material on more recent developments in computational mechanics Easily readable, engineering oriented, with no more details in the main text than necessary to understand the concepts. Pseudo-code throughout makes the link between theory and algorithms, and the actual implementation. Accompanied by a website (www.wiley.com/go/deborst) with a Python code, based on the pseudo-code within the book and suitable for solving small-size problems. Non-linear Finite Element Analysis of Solids and Structures, 2nd Edition is an essential reference for practising engineers and researchers that can also be used as a text for undergraduate and graduate students within computational mechanics.

Author : Ekkehard Ramm,E. Rank,R. Rannacher,K. Schweizerhof,E. Stein,W. Wendland,G. Wittum,Peter Wriggers,Walter Wunderlich
Publisher : John Wiley & Sons
Page : 422 pages
File Size : 43,5 Mb
Release : 2003-08-01
Category : Technology & Engineering
ISBN : 9780470857977

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Error-controlled Adaptive Finite Elements in Solid Mechanics by Ekkehard Ramm,E. Rank,R. Rannacher,K. Schweizerhof,E. Stein,W. Wendland,G. Wittum,Peter Wriggers,Walter Wunderlich Pdf

Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. * First book to go beyond the Finite Element Method in itself * Covers material from a new research area * Presents benchmarks of 2D- and 3D- applications * Fits with the new trend for genetic strategies in engineering

Author : Wilhelm Rust
Publisher : Springer
Page : 363 pages
File Size : 45,5 Mb
Release : 2015-02-18
Category : Science
ISBN : 9783319133805

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Non-Linear Finite Element Analysis in Structural Mechanics by Wilhelm Rust Pdf

This monograph describes the numerical analysis of non-linearities in structural mechanics, i.e. large rotations, large strain (geometric non-linearities), non-linear material behaviour, in particular elasto-plasticity as well as time-dependent behaviour, and contact. Based on that, the book treats stability problems and limit-load analyses, as well as non-linear equations of a large number of variables. Moreover, the author presents a wide range of problem sets and their solutions. The target audience primarily comprises advanced undergraduate and graduate students of mechanical and civil engineering, but the book may also be beneficial for practising engineers in industry.

Author : Koutromanos
Publisher : Wiley-Blackwell
Page : 300 pages
File Size : 42,5 Mb
Release : 2017-01-06
Category : Electronic
ISBN : 1119259975

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Fundamentals of Finite Element Analysis by Koutromanos Pdf

Author : M. A. Crisfield
Publisher : Wiley-Blackwell
Page : 534 pages
File Size : 50,6 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015049651287

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Non-Linear Finite Element Analysis of Solids and Structures, Advanced Topics by M. A. Crisfield Pdf

Non-linear Finite Element Analysis of Solids and Structures Volume 2: Advanced Topics M. A. Crisfield Imperial College of Science, Technology and Medicine, London, UK In such fields as aeronautical, civil, mechanical and structural engineering, non-linear analysis techniques are becoming widely used for the solution of practical engineering problems. Taking an engineering rather than a mathematical bias, this comprehensive book builds on the fundamental ideas explained in Volume One, introducing the reader to more detailed, advanced topics. Large strains and large rotations, plasticity with a range of yield criteria and hardening rules, stability theory and advanced solution procedures including branch-switching techniques, contact and friction, and nonlinear dynamics, are covered in depth. Examples from a non-linear finite element computer program incorporating the advanced solution procedures are included. The computer program is available on the Internet via anonymous ftp, using the URL ftp://ftp.cc.ic.ac.uk/pub/depts/aero/nonlin2/.

Author : Anonim
Publisher : Unknown
Page : 468 pages
File Size : 55,7 Mb
Release : 1978
Category : Finite element method
ISBN : STANFORD:36105000590757

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Finite Elements in Nonlinear Mechanics by Anonim Pdf

Author : Eugenio Oñate
Publisher : Springer Science & Business Media
Page : 495 pages
File Size : 45,8 Mb
Release : 2010-02-25
Category : Technology & Engineering
ISBN : 9781402087332

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Structural Analysis with the Finite Element Method. Linear Statics by Eugenio Oñate Pdf

STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD Linear Statics Volume 1 : The Basis and Solids Eugenio Oñate The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM). The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years. Volume1 presents the basis of the FEM for structural analysis and a detailed description of the finite element formulation for axially loaded bars, plane elasticity problems, axisymmetric solids and general three dimensional solids. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems. The book includes a chapter on miscellaneous topics such as treatment of inclined supports, elastic foundations, stress smoothing, error estimation and adaptive mesh refinement techniques, among others. The text concludes with a chapter on the mesh generation and visualization of FEM results. The book will be useful for students approaching the finite element analysis of structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis. STRUCTURAL ANALYSIS WITH THE FINITE ELEMENT METHOD Linear Statics Volume 2: Beams, Plates and Shells Eugenio Oñate The two volumes of this book cover most of the theoretical and computational aspects of the linear static analysis of structures with the Finite Element Method (FEM).The content of the book is based on the lecture notes of a basic course on Structural Analysis with the FEM taught by the author at the Technical University of Catalonia (UPC) in Barcelona, Spain for the last 30 years. Volume 2 presents a detailed description of the finite element formulation for analysis of slender and thick beams, thin and thick plates, folded plate structures, axisymmetric shells, general curved shells, prismatic structures and three dimensional beams. Each chapter describes the background theory for each structural model considered, details of the finite element formulation and guidelines for the application to structural engineering problems Emphasis is put on the treatment of structures with layered composite materials. The book will be useful for students approaching the finite element analysis of beam, plate and shell structures for the first time, as well as for practising engineers interested in the details of the formulation and performance of the different finite elements for practical structural analysis.

Author : Olek C Zienkiewicz,Robert L Taylor
Publisher : Elsevier
Page : 736 pages
File Size : 52,9 Mb
Release : 2005-08-09
Category : Technology & Engineering
ISBN : 9780080455587

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The Finite Element Method for Solid and Structural Mechanics by Olek C Zienkiewicz,Robert L Taylor Pdf

This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

Author : M. A. Crisfield
Publisher : Unknown
Page : 378 pages
File Size : 42,5 Mb
Release : 1991-08-15
Category : Mathematics
ISBN : UVA:X002310156

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Non-Linear Finite Element Analysis of Solids and Structures, Essentials by M. A. Crisfield Pdf

This volume builds on the ideas of geometric non-linearity explained in Volume One. Continuum mechanics, plasticity and stability theory are covered in greater depth as it explores the research on non-linear finite elements. A supplementary set of programmes is available on the.

Author : Michał Kleiber,Piotr Breitkopf
Publisher : Prentice Hall
Page : 328 pages
File Size : 43,9 Mb
Release : 1993
Category : Computers
ISBN : PSU:000021797200

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Finite Element Methods in Structural Mechanics by Michał Kleiber,Piotr Breitkopf Pdf

Assuming no prior knowledge of numerical methods or finite elements, this textbook includes worked examples, homework assignments and a documented computer program which illustrates the basic aspects of finite element program development. It also explores current issues in finite element analysis.

Author : Wolfgang Bangerth,Rolf Rannacher
Publisher : Birkhäuser
Page : 216 pages
File Size : 46,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783034876056

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Adaptive Finite Element Methods for Differential Equations by Wolfgang Bangerth,Rolf Rannacher Pdf

These Lecture Notes have been compiled from the material presented by the second author in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH Zurich during the summer term 2002. Concepts of 'self adaptivity' in the numerical solution of differential equations are discussed with emphasis on Galerkin finite element methods. The key issues are a posteriori er ror estimation and automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method (or shortly D WR method) for goal-oriented error estimation is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters, and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. 'Goal-oriented' adaptivity is designed to achieve these tasks with minimal cost. The basics of the DWR method and various of its applications are described in the following survey articles: R. Rannacher [114], Error control in finite element computations. In: Proc. of Summer School Error Control and Adaptivity in Scientific Computing (H. Bulgak and C. Zenger, eds), pp. 247-278. Kluwer Academic Publishers, 1998. M. Braack and R. Rannacher [42], Adaptive finite element methods for low Mach-number flows with chemical reactions.

Author : Peter Wriggers
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 51,6 Mb
Release : 2008-09-24
Category : Mathematics
ISBN : 9783540710004

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Nonlinear Finite Element Methods by Peter Wriggers Pdf

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Author : R. Jeremy Astley
Publisher : Unknown
Page : 370 pages
File Size : 54,8 Mb
Release : 1992
Category : Mathematics
ISBN : STANFORD:36105016285574

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Finite Elements in Solids and Structures by R. Jeremy Astley Pdf

An introduction to finite elements in their specific and elementary application to solid mechanics and structural analysis. Designed for use as an advanced undergraduate text, it deals mainly with static linear analysis but also includes a brief introduction to dynamic problems.