Large Strain Finite Element Method

Author : Antonio Munjiza,Earl E. Knight,Esteban Rougier
Publisher : John Wiley & Sons
Page : 486 pages
File Size : 44,6 Mb
Release : 2015-02-16
Category : Mathematics
ISBN : 9781118405307

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Large Strain Finite Element Method by Antonio Munjiza,Earl E. Knight,Esteban Rougier Pdf

An introductory approach to the subject of large strains and large displacements in finite elements. Large Strain Finite Element Method: A Practical Course, takes an introductory approach to the subject of large strains and large displacements in finite elements and starts from the basic concepts of finite strain deformability, including finite rotations and finite displacements. The necessary elements of vector analysis and tensorial calculus on the lines of modern understanding of the concept of tensor will also be introduced. This book explains how tensors and vectors can be described using matrices and also introduces different stress and strain tensors. Building on these, step by step finite element techniques for both hyper and hypo-elastic approach will be considered. Material models including isotropic, unisotropic, plastic and viscoplastic materials will be independently discussed to facilitate clarity and ease of learning. Elements of transient dynamics will also be covered and key explicit and iterative solvers including the direct numerical integration, relaxation techniques and conjugate gradient method will also be explored. This book contains a large number of easy to follow illustrations, examples and source code details that facilitate both reading and understanding. Takes an introductory approach to the subject of large strains and large displacements in finite elements. No prior knowledge of the subject is required. Discusses computational methods and algorithms to tackle large strains and teaches the basic knowledge required to be able to critically gauge the results of computational models. Contains a large number of easy to follow illustrations, examples and source code details. Accompanied by a website hosting code examples.

Author : Abhijit Chandra
Publisher : Unknown
Page : 252 pages
File Size : 40,8 Mb
Release : 1983
Category : Strains and stresses
ISBN : CORNELL:31924004857789

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Finite Element and Boundary Element Analyses of Large Strain Large Displacement Problems in Elastoviscoplasticity by Abhijit Chandra Pdf

Author : René de Borst,Mike A. Crisfield,Joris J. C. Remmers,Clemens V. Verhoosel
Publisher : John Wiley & Sons
Page : 481 pages
File Size : 43,6 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 : Singiresu S. Rao
Publisher : Elsevier
Page : 688 pages
File Size : 54,7 Mb
Release : 2011-03-15
Category : Technology & Engineering
ISBN : 9780080470504

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The Finite Element Method in Engineering by Singiresu S. Rao Pdf

The Finite Element Method in Engineering is the only book to provide a broad overview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. This is an updated and improved version of a finite element text long noted for its practical applications approach, its readability, and ease of use. Students will find in this textbook a thorough grounding of the mathematical principles underlying the popular, analytical methods for setting up a finite element solution based on mathematical equations. The book provides a host of real-world applications of finite element analysis, from structural design to problems in fluid mechanics and thermodynamics. It has added new sections on the assemblage of element equations, as well as an important new comparison between finite element analysis and other analytical methods showing advantages and disadvantages of each. This book will appeal to students in mechanical, structural, electrical, environmental and biomedical engineering. The only book to provide a broadoverview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. New sections added on the assemblage of element equations, and an important new comparison between finite element analysis and other analytical methods, showing the advantages and disadvantages of each.

Author : Marcus Rüter
Publisher : Unknown
Page : 224 pages
File Size : 42,7 Mb
Release : 2004
Category : Electronic
ISBN : 3935732082

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Error Controlled Adaptive Finite Element Methods in Large Strain Hyperelasticity and Fracture Mechanics by Marcus Rüter Pdf

Author : Roland W. Lewis,B. A. Schrefler
Publisher : John Wiley & Sons
Page : 517 pages
File Size : 51,7 Mb
Release : 1999-01-07
Category : Technology & Engineering
ISBN : 9780471928096

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The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media by Roland W. Lewis,B. A. Schrefler Pdf

Seit der Veröffentlichung der Erstauflage 1987 haben Forschungaktivitäten und professionelle Anwendungen auf dem Gebiet poröser Medien rapide zugenommen. Deshalb wurde die 2. Auflage komplett überarbeitet und aktualisiert. Führende Experten stellen die mechanischen und numerischen Aspekte des Fließens im porösen Medium sehr detailliert dar. (09/98)

Author : Guido Dhondt
Publisher : John Wiley & Sons
Page : 362 pages
File Size : 41,5 Mb
Release : 2004-11-19
Category : Science
ISBN : 9780470857625

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The Finite Element Method for Three-Dimensional Thermomechanical Applications by Guido Dhondt Pdf

Though many 'finite element' books exist, this book provides a unique focus on developing the method for three-dimensional, industrial problems. This is significant as many methods which work well for small applications fail for large scale problems, which generally: are not so well posed introduce stringent computer time conditions require robust solution techniques. Starting from sound continuum mechanics principles, derivation in this book focuses only on proven methods. Coverage of all different aspects of linear and nonlinear thermal mechanical problems in solids are described, thereby avoiding distracting the reader with extraneous solutions paths. Emphasis is put on consistent representation and includes the examination of topics which are not frequently found in other texts, such as cyclic symmetry, rigid body motion and nonlinear multiple point constraints. Advanced material formulations include anisotropic hyperelasticity, large strain multiplicative viscoplasticity and single crystal viscoplasticity. Finally, the methods described in the book are implemented in the finite element software CalculiX, which is freely available (www.calculix.de; the GNU General Public License applies). Suited to industry practitioners and academic researchers alike, The Finite Element Method for Three-Dimensional Thermomechanical Applications expertly bridges the gap between continuum mechanics and the finite element method.

Author : Wilhelm Rust
Publisher : Springer
Page : 363 pages
File Size : 51,8 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 : M. Kojic,Klaus-Jurgen Bathe
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 46,6 Mb
Release : 2005-07-28
Category : Science
ISBN : 9783540265078

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Inelastic Analysis of Solids and Structures by M. Kojic,Klaus-Jurgen Bathe Pdf

Inelastic Analysis of Solids and Structures presents in a unified manner the physical and theoretical background of inelastic material models and computational methods, and illustrates the behavior of the models in typical engineering conditions. The book describes experimental observations and principles of mechanics, and efficient computational algorithms for stress calculations as typically performed in finite element analysis. The theoretical background is given to an extent necessary to describe the commonly employed material models in metal isotropic and orthotropic plasticity, thermoplasticity and viscoplasticity, and the plasticity of geological materials. The computational algorithms are developed in a unified manner with some detailed derivations of the algorithmic relations. Many solved examples are presented, which are designed to give insight into the material behavior in various engineering conditions, and to demonstrate the application of the computational algorithms.

Author : Isaac Elishakoff,Yongjian Ren
Publisher : Oxford University Press, USA
Page : 282 pages
File Size : 43,9 Mb
Release : 2003
Category : Language Arts & Disciplines
ISBN : 0198526318

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Finite Element Methods for Structures with Large Stochastic Variations by Isaac Elishakoff,Yongjian Ren Pdf

The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.

Author : C. A. Mota Soares,J.A.C. Martins,H.C. Rodrigues,Jorge A.C. Ambrosio,C.A.B. Pina,C.M. Mota Soares,E.B.R. Pereira,J. Folgado
Publisher : Springer Science & Business Media
Page : 861 pages
File Size : 51,7 Mb
Release : 2008-06-05
Category : Technology & Engineering
ISBN : 9781402053702

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III European Conference on Computational Mechanics by C. A. Mota Soares,J.A.C. Martins,H.C. Rodrigues,Jorge A.C. Ambrosio,C.A.B. Pina,C.M. Mota Soares,E.B.R. Pereira,J. Folgado Pdf

III European Conference on Computational Mechanics: Solids, Structures and Coupled Problem in Engineering Computational Mechanics in Solid, Structures and Coupled Problems in Engineering is today a mature science with applications to major industrial projects. This book contains the edited version of the Abstracts of Plenary and Keynote Lectures and Papers, and a companion CD-ROM with the full-length papers, presented at the III European Conference on Computational Mechanics: Solids, Structures and Coupled Problems in Engineering (ECCM-2006), held in the National Laboratory of Civil Engineering, Lisbon, Portugal 5th - 8th June 2006. The book reflects the state-of-art of Computation Mechanics in Solids, Structures and Coupled Problems in Engineering and it includes contributions by the world most active researchers in this field.

Author : Amir R. Khoei
Publisher : John Wiley & Sons
Page : 600 pages
File Size : 53,9 Mb
Release : 2015-02-23
Category : Science
ISBN : 9781118457689

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Extended Finite Element Method by Amir R. Khoei Pdf

Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Author : David Boast,Vince A. Coveney
Publisher : Unknown
Page : 304 pages
File Size : 50,9 Mb
Release : 1999
Category : Mathematics
ISBN : UOM:39015050129314

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Finite Element Analysis of Elastomers by David Boast,Vince A. Coveney Pdf

Written by leading researchers and practitioners, Finite Element Analysis of Elastomers blends established knowledge in this important area with up-to-date research topics, practical hints and thought-provoking new ideas. The Editors, have compiled contributions by leading researchers and practitioners in finite element analysis (FEA): the result is an authoritative and agenda-setting volume. Finite element modelling can only be as good as the constitutive laws (material models) used, the means of obtaining and fitting the data for those models, and the accuracy of the boundary conditions. (The latter is of particular importance in cases of contact.) All three questions recieve particular attention in this book, as do aspects such as the interpretation and accuracy of FE outputs, with many practical examples being given. There is a short section on fatigue and failure, where particular concerns and approaches in this challenging area are discussed. Comprehensive coverage is given to particular issues concerning the problems of working with real elastomers, especially filled materials. Key features include: Constitutive laws for hyperelastic and inelastic aspects of behaviour Appropriate test methods Curve fitting to obtain constants for constitutive laws Interpretation of finite element results Modelling of crack growth Example applications.

Author : Koichi Hashiguchi,Yuki Yamakawa
Publisher : John Wiley & Sons
Page : 371 pages
File Size : 53,5 Mb
Release : 2012-10-09
Category : Science
ISBN : 9781118437728

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Introduction to Finite Strain Theory for Continuum Elasto-Plasticity by Koichi Hashiguchi,Yuki Yamakawa Pdf

Comprehensive introduction to finite elastoplasticity, addressing various analytical and numerical analyses & including state-of-the-art theories Introduction to Finite Elastoplasticity presents introductory explanations that can be readily understood by readers with only a basic knowledge of elastoplasticity, showing physical backgrounds of concepts in detail and derivation processes of almost all equations. The authors address various analytical and numerical finite strain analyses, including new theories developed in recent years, and explain fundamentals including the push-forward and pull-back operations and the Lie derivatives of tensors. As a foundation to finite strain theory, the authors begin by addressing the advanced mathematical and physical properties of continuum mechanics. They progress to explain a finite elastoplastic constitutive model, discuss numerical issues on stress computation, implement the numerical algorithms for stress computation into large-deformation finite element analysis and illustrate several numerical examples of boundary-value problems. Programs for the stress computation of finite elastoplastic models explained in this book are included in an appendix, and the code can be downloaded from an accompanying website.

Author : M. A. Crisfield
Publisher : Wiley-Blackwell
Page : 534 pages
File Size : 52,9 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/.