Nonlinear Finite Elements for Continua and Structures

Filename: nonlinear-finite-elements-for-continua-and-structures.pdf
ISBN: 9781118700082
Release Date: 2013-11-25
Number of pages: 832
Author: Ted Belytschko
Publisher: John Wiley & Sons

Download and read online Nonlinear Finite Elements for Continua and Structures in PDF and EPUB 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 in industry.


Nonlinear Finite Elements for Continua and Structures

Filename: nonlinear-finite-elements-for-continua-and-structures.pdf
ISBN: 1118632702
Release Date: 2014-01-07
Number of pages: 832
Author: Ted Belytschko
Publisher: John Wiley & Sons

Download and read online Nonlinear Finite Elements for Continua and Structures in PDF and EPUB "Focuses on the formulation and solution of the discrete equations for various classes of problems encountered in the application of the finite element method to solid and structural mechanics"-- Provided by publisher.


Nonlinear Finite Elements for Continua and Structures

Filename: nonlinear-finite-elements-for-continua-and-structures.pdf
ISBN: 9781118700051
Release Date: 2013-10-22
Number of pages: 832
Author: Ted Belytschko
Publisher: John Wiley & Sons

Download and read online Nonlinear Finite Elements for Continua and Structures in PDF and EPUB 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 in industry.


A First Course in Finite Elements

Filename: a-first-course-in-finite-elements.pdf
ISBN: 0470510846
Release Date: 2007-04-30
Number of pages: 336
Author: Jacob Fish
Publisher: John Wiley and Sons

Download and read online A First Course in Finite Elements in PDF and EPUB


Nonlinear Finite Element Methods

Filename: nonlinear-finite-element-methods.pdf
ISBN: 9783540710011
Release Date: 2008-11-04
Number of pages: 560
Author: Peter Wriggers
Publisher: Springer Science & Business Media

Download and read online Nonlinear Finite Element Methods in PDF and EPUB 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.


Finite Elements of Nonlinear Continua

Filename: finite-elements-of-nonlinear-continua.pdf
ISBN: 9780486317908
Release Date: 2013-04-15
Number of pages: 448
Author: J. T. Oden
Publisher: Courier Corporation

Download and read online Finite Elements of Nonlinear Continua in PDF and EPUB Geared toward undergraduate and graduate students, this text extends applications of the finite element method from linear problems in elastic structures to a broad class of practical, nonlinear problems in continuum mechanics. It treats both theory and applications from a general and unifying point of view. The text reviews the thermomechanical principles of continuous media and the properties of the finite element method, and then brings them together to produce discrete physical models of nonlinear continua. The mathematical properties of these models are analyzed, along with the numerical solution of the equations governing the discrete model. Though the theory and methods are sufficiently general to be applied to any nonlinear problem, emphasis has been placed on problems in finite elasticity, viscoelasticity, heat conduction, and thermoviscoelasticity. Problems in rarefied gas dynamics and nonlinear partial differential equations are also examined. Other topics include topological properties of finite element models, applications to linear and nonlinear boundary value problems, and discrete models of nonlinear thermomechanical behavior of dissipative media. This comprehensive text is valuable not only to students of structural analysis and continuum mechanics but also to professionals researching the numerical analysis of continua


Extended Finite Element Method

Filename: extended-finite-element-method.pdf
ISBN: 9781118457689
Release Date: 2015-02-23
Number of pages: 584
Author: Amir R. Khoei
Publisher: John Wiley & Sons

Download and read online Extended Finite Element Method in PDF and EPUB Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Extended Finite Element Method: Theory and Applications introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics. The XFEM approach is based on an extension of standard finite element method based on the partition of unity method. Extended Finite Element Method: Theory and Applications begins by introducing the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. It then covers the theory and application of XFEM in large deformations, plasticity and contact problems. The implementation of XFEM in fracture mechanics, including the linear, cohesive, and ductile crack propagation is also covered. The theory and applications of the XFEM in multiphase fluid flow, including the hydraulic fracturing in soil saturated media and crack propagation in thermo-hydro-mechanical porous media, is also discussed in detail. 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


Introduction to Nonlinear Finite Element Analysis

Filename: introduction-to-nonlinear-finite-element-analysis.pdf
ISBN: 9781441917461
Release Date: 2014-11-21
Number of pages: 430
Author: Nam-Ho Kim
Publisher: Springer Science & Business Media

Download and read online Introduction to Nonlinear Finite Element Analysis in PDF and EPUB 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/


An Introduction to the Mathematical Theory of Finite Elements

Filename: an-introduction-to-the-mathematical-theory-of-finite-elements.pdf
ISBN: 9780486142210
Release Date: 2012-05-23
Number of pages: 448
Author: J. T. Oden
Publisher: Courier Corporation

Download and read online An Introduction to the Mathematical Theory of Finite Elements in PDF and EPUB This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.


Nonlinear Solid Mechanics for Finite Element Analysis Statics

Filename: nonlinear-solid-mechanics-for-finite-element-analysis-statics.pdf
ISBN: 9781107115798
Release Date: 2016-06-23
Number of pages: 350
Author: Javier Bonet
Publisher: Cambridge University Press

Download and read online Nonlinear Solid Mechanics for Finite Element Analysis Statics in PDF and EPUB A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.


Finite Element Procedures

Filename: finite-element-procedures.pdf
ISBN: 097900490X
Release Date: 2006
Number of pages: 1037
Author: Klaus-Jürgen Bathe
Publisher: Klaus-Jurgen Bathe

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Nonlinear Finite Elements for Continua and Structures

Filename: nonlinear-finite-elements-for-continua-and-structures.pdf
ISBN: 9781497003576
Release Date: 2016-10-16
Number of pages: 33
Author: CTI Reviews
Publisher: Cram101 Textbook Reviews

Download and read online Nonlinear Finite Elements for Continua and Structures in PDF and EPUB Facts101 is your complete guide to Nonlinear Finite Elements for Continua and Structures. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.


Nano Mechanics and Materials

Filename: nano-mechanics-and-materials.pdf
ISBN: 9780470035214
Release Date: 2006-08-30
Number of pages: 334
Author: Wing Kam Liu
Publisher: John Wiley & Sons

Download and read online Nano Mechanics and Materials in PDF and EPUB Nanotechnology is a progressive research and development topic with large amounts of venture capital and government funding being invested worldwide. Nano mechanics, in particular, is the study and characterization of the mechanical behaviour of individual atoms, systems and structures in response to various types of forces and loading conditions. This text, written by respected researchers in the field, informs researchers and practitioners about the fundamental concepts in nano mechanics and materials, focusing on their modelling via multiple scale methods and techniques. The book systematically covers the theory behind multi-particle and nanoscale systems, introduces multiple scale methods, and finally looks at contemporary applications in nano-structured and bio-inspired materials.


The Finite Element Method

Filename: the-finite-element-method.pdf
ISBN: 9780486135021
Release Date: 2012-05-23
Number of pages: 704
Author: Thomas J. R. Hughes
Publisher: Courier Corporation

Download and read online The Finite Element Method in PDF and EPUB Designed for students without in-depth mathematical training, this text includes a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories. Solution guide available upon request.


Isogeometric Analysis

Filename: isogeometric-analysis.pdf
ISBN: 9780470749098
Release Date: 2009-08-11
Number of pages: 352
Author: J. Austin Cottrell
Publisher: John Wiley & Sons

Download and read online Isogeometric Analysis in PDF and EPUB “The authors are the originators of isogeometric analysis, are excellent scientists and good educators. It is very original. There is no other book on this topic.” —René de Borst, Eindhoven University of Technology Written by leading experts in the field and featuring fully integrated colour throughout, Isogeometric Analysis provides a groundbreaking solution for the integration of CAD and FEA technologies. Tom Hughes and his researchers, Austin Cottrell and Yuri Bazilevs, present their pioneering isogeometric approach, which aims to integrate the two techniques of CAD and FEA using precise NURBS geometry in the FEA application. This technology offers the potential to revolutionise automobile, ship and airplane design and analysis by allowing models to be designed, tested and adjusted in one integrative stage. Providing a systematic approach to the topic, the authors begin with a tutorial introducing the foundations of Isogeometric Analysis, before advancing to a comprehensive coverage of the most recent developments in the technique. The authors offer a clear explanation as to how to add isogeometric capabilities to existing finite element computer programs, demonstrating how to implement and use the technology. Detailed programming examples and datasets are included to impart a thorough knowledge and understanding of the material. Provides examples of different applications, showing the reader how to implement isogeometric models Addresses readers on both sides of the CAD/FEA divide Describes Non-Uniform Rational B-Splines (NURBS) basis functions