Book Description
A unified treatment of nonlinear continuum analysis and finite element techniques.
Author : Javier Bonet
Publisher : Cambridge University Press
Page : 272 pages
File Size : 33,70 MB
Release : 1997-09-28
Category : Mathematics
ISBN : 9780521572729
A unified treatment of nonlinear continuum analysis and finite element techniques.
Author : Javier Bonet
Publisher : Cambridge University Press
Page : 137 pages
File Size : 49,38 MB
Release : 2012-08-02
Category : Science
ISBN : 1139561308
Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a complete set of exercises and solutions in the field of theoretical and computational nonlinear continuum mechanics and is the perfect companion to Nonlinear Continuum Mechanics for Finite Element Analysis, where the authors set out the theoretical foundations of the subject. It employs notation consistent with the theory book and serves as a great resource to students, researchers and those in industry interested in gaining confidence by practising through examples. Instructors of the subject will also find the book indispensable in aiding student learning.
Author : Ted Belytschko
Publisher : John Wiley & Sons
Page : 834 pages
File Size : 42,18 MB
Release : 2014-01-07
Category : Science
ISBN : 1118632702
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 : Javier Bonet
Publisher : Cambridge University Press
Page : 351 pages
File Size : 18,5 MB
Release : 2021-03-18
Category : Mathematics
ISBN : 1107115620
The perfect introduction to the theory and computer programming for the dynamic simulation of nonlinear solid mechanics.
Author : Javier Bonet
Publisher : Cambridge University Press
Page : 343 pages
File Size : 48,52 MB
Release : 2016-06-23
Category : Mathematics
ISBN : 1107115795
A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.
Author : Peter Wriggers
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 46,4 MB
Release : 2008-11-04
Category : Technology & Engineering
ISBN : 3540710019
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 : Adnan Ibrahimbegovic
Publisher : Springer Science & Business Media
Page : 588 pages
File Size : 22,63 MB
Release : 2009-06-02
Category : Computers
ISBN : 9048123305
This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.
Author : Javier Bonet
Publisher : Cambridge University Press
Page : 349 pages
File Size : 47,63 MB
Release : 2008-03-13
Category : Science
ISBN : 1139467549
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 : O. C. Zienkiewicz
Publisher : Elsevier
Page : 653 pages
File Size : 49,43 MB
Release : 2005-08-09
Category : Technology & Engineering
ISBN : 0080455581
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 : Gerhard A. Holzapfel
Publisher :
Page : 482 pages
File Size : 42,98 MB
Release : 2000-04-06
Category : Mathematics
ISBN :
Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.