Non Linear Finite Element Analysis In Structural Mechanics

Author : Wilhelm Rust
Publisher : Springer
Page : 363 pages
File Size : 55,7 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 : W. Wunderlich,E. Stein,K.J. Bathe
Publisher : Springer Science & Business Media
Page : 782 pages
File Size : 53,7 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783642815898

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Nonlinear Finite Element Analysis in Structural Mechanics by W. Wunderlich,E. Stein,K.J. Bathe Pdf

With the rap1d development of computational capab1lities, nonl1near f1nite element analys1s 1n structural mechan1CS has become an 1mportant field of research. Its objective is the real1stic assessment of the actual behaV10r of structures by numerical methods. Th1S requires that all nonlinear effects, such as the nonl1near character1stics of the mater1al and large deformations be taken 1nto account. The act1vities in th1S f1eld be1ng worldw1de, d1rect 1nteraction between the various research groups 1S necessary to coordinate future research and to overcome the time gap between the generat10n of new results and the1r appearance 1n the 11terature. The f1rst U.S.-Germany Sympos1um was held 1n 1976 at the Massachusetts Inst1tute of Technology. Under the general to P1C "Formulat1ons and Computat1onal Algorithms in Fin1te Ele ment Analysis" 1t prov1ded an opportun1ty for about 20 re searchers from each country to present lectures, hold discus sions, and establ1sh mutual contacts. The success of th1S first sympos1um was so encourag1ng that 1t seemed natural to organ- 1ze a second bilateral meet1ng, this time 1n Germany, and to 1nv1te researchers from other European countr1es as well

Author : Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary
Publisher : John Wiley & Sons
Page : 834 pages
File Size : 43,9 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 : Koutromanos
Publisher : Wiley-Blackwell
Page : 300 pages
File Size : 47,5 Mb
Release : 2017-01-06
Category : Electronic
ISBN : 1119259975

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Fundamentals of Finite Element Analysis by Koutromanos Pdf

Author : Peter Wriggers
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 49,9 Mb
Release : 2008-11-04
Category : Technology & Engineering
ISBN : 9783540710011

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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 : M. A. Crisfield
Publisher : Wiley-Blackwell
Page : 534 pages
File Size : 49,6 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 : Olek C Zienkiewicz,Robert L Taylor
Publisher : Elsevier
Page : 736 pages
File Size : 48,7 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 : Javier Bonet,Richard D. Wood
Publisher : Cambridge University Press
Page : 349 pages
File Size : 45,9 Mb
Release : 2008-03-13
Category : Science
ISBN : 9781139467544

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Nonlinear Continuum Mechanics for Finite Element Analysis by Javier Bonet,Richard D. Wood Pdf

Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.

Author : Klaus-Jürgen Bathe,W. Wunderlich,E. Stein
Publisher : Unknown
Page : 0 pages
File Size : 55,7 Mb
Release : 1981
Category : Finite element method
ISBN : OCLC:1277481899

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Nonlinear Finite Element Analysis in Structural Mechanics by Klaus-Jürgen Bathe,W. Wunderlich,E. Stein Pdf

Author : Georgios A. Drosopoulos,Georgios E. Stavroulakis
Publisher : CRC Press
Page : 286 pages
File Size : 48,8 Mb
Release : 2022-04-26
Category : Science
ISBN : 9781000579079

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Nonlinear Mechanics for Composite Heterogeneous Structures by Georgios A. Drosopoulos,Georgios E. Stavroulakis Pdf

Nonlinear Mechanics for Composite Heterogeneous Structures applies both classical and multi-scale finite element analysis to the non-linear, failure response of composite structures. These traditional and modern computational approaches are holistically presented, providing insight into a range of non-linear structural analysis problems. The classical methods include geometric and material non-linearity, plasticity, damage and contact mechanics. The cutting-edge formulations include cohesive zone models, the Extended Finite Element Method (XFEM), multi-scale computational homogenization, localization of damage, neural networks and data-driven techniques. This presentation is simple but efficient, enabling the reader to understand, select and apply appropriate methods through programming code or commercial finite element software. The book is suitable for undergraduate studies as a final year textbook and for MSc and PhD studies in structural, mechanical, aerospace engineering and material science, among others. Professionals in these fields will also be strongly benefited. An accompanying website provides MATLAB codes for two-dimensional finite element problems with contact, multi-scale (FE2) and non-linear XFEM analysis, data-driven and machine learning simulations.

Author : Nam-Ho Kim
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 48,9 Mb
Release : 2014-11-21
Category : Technology & Engineering
ISBN : 9781441917461

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Introduction to Nonlinear Finite Element Analysis by Nam-Ho Kim Pdf

This book introduces the key concepts of nonlinear finite element analysis procedures. The book explains the fundamental theories of the field and provides instructions on how to apply the concepts to solving practical engineering problems. Instead of covering many nonlinear problems, the book focuses on three representative problems: nonlinear elasticity, elastoplasticity, and contact problems. The book is written independent of any particular software, but tutorials and examples using four commercial programs are included as appendices: ANSYS, NASTRAN, ABAQUS, and MATLAB. In particular, the MATLAB program includes all source codes so that students can develop their own material models, or different algorithms. Please visit the author's website for supplemental material, including PowerPoint presentations and MATLAB codes, at http://www2.mae.ufl.edu/nkim/INFEM/

Author : Gangan Prathap
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 55,9 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9789401733199

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The Finite Element Method in Structural Mechanics by Gangan Prathap Pdf

This book is not intended to be a text-book, delineating the full scope of finite element methodology, nor is it a comprehensive handbook of modern finite element practice for the finite element engineer. There are enough books that serve to do these and more. It is however intended as a monograph or treatise on a very specific area - the design of robust and accurate elements for applications in struc tural mechanics. It attempts to describe the epistemological conflict between the principles in finite element technology that can be described as Art and those that have a scientific basis invested in it and which can be admitted as science as the subject evolved and came to be accepted. The principles of structural mechanics as a branch of physics are well founded and have a sound scientific basis. The mathematical description of it has also a long history and is rigorously based on the infinitesimal and variational calculus. Of much more recent origin has been the branch of knowledge dealing with the numerical modelling of the beha viour of structural material. The most powerful method available to do this today is the finite element method. It is eminently suited to carry out the entire cycle of design and analysis of a structural configuration on a digital computer.

Author : M. A. Crisfield
Publisher : Unknown
Page : 378 pages
File Size : 40,6 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 : Javier Bonet,Antonio J. Gil,Richard D. Wood
Publisher : Cambridge University Press
Page : 343 pages
File Size : 48,8 Mb
Release : 2016-06-23
Category : Mathematics
ISBN : 9781107115798

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Nonlinear Solid Mechanics for Finite Element Analysis: Statics by Javier Bonet,Antonio J. Gil,Richard D. Wood Pdf

A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.