Advanced Continuum Theories And Finite Element Analyses
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Advanced Continuum Theories And Finite Element Analyses
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Author : James D Lee
language : en
Publisher: World Scientific
Release Date : 2020-01-08
Advanced Continuum Theories And Finite Element Analyses written by James D Lee and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-08 with Technology & Engineering categories.
This comprehensive volume presents a unified framework of continuum theories. It indicates that (i) microcontinuum theories (micromorphic and micropolar theories) are natural extension of classical continuum mechanics, and (ii) classical continuum mechanics is a special case of microcontinuum theories when the deformable material point is idealized as a single mathematical point. The kinematics and basic laws are rigorously derived. Based on axiomatic approach, constitutive theory is systematically derived for various kinds of materials, ranging from Stokesian fluid to thermo-visco-elastic-plastic solid. Material force and Thermomechanical-electromagnetic coupling are introduced and discussed. Moreover, general finite element methods for large-strain thermomechanical coupling physical phenomena are systematically formulated. Also, non-classical continuum theories (Nonlocal Theory, Mechanobiology, 4D printing, Poromechanics, and Non-Self-Similar Crack Propagation) are rigorously formulated with applications and demonstrated numerically.As an advanced monograph, this unique compendium can also be used as a textbook for several graduate courses, including continuum mechanics, finite element methods, and advanced engineering science theories. Extensive problems are provided to help students to better understand the topics covered.
Nonlinear Finite Elements For Continua And Structures
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Author : Ted Belytschko
language : en
Publisher: John Wiley & Sons
Release Date : 2014-01-07
Nonlinear Finite Elements For Continua And Structures written by Ted Belytschko and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-07 with Science categories.
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.
Introduction To Finite Strain Theory For Continuum Elasto Plasticity
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Author : Koichi Hashiguchi
language : en
Publisher: John Wiley & Sons
Release Date : 2012-10-09
Introduction To Finite Strain Theory For Continuum Elasto Plasticity written by Koichi Hashiguchi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-09 with Science categories.
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.
Finite Elements Of Nonlinear Continua
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Author : J. T. Oden
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15
Finite Elements Of Nonlinear Continua written by J. T. Oden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Technology & Engineering categories.
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
Size Dependent Continuum Mechanics Approaches
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Author : Esmaeal Ghavanloo
language : en
Publisher: Springer Nature
Release Date : 2021-04-02
Size Dependent Continuum Mechanics Approaches written by Esmaeal Ghavanloo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-02 with Science categories.
This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen’s nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.
Finite Element Programs In Structural Engineering And Continuum Mechanics
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Author : Carl T. F. Ross
language : en
Publisher: Elsevier
Release Date : 1996-01-01
Finite Element Programs In Structural Engineering And Continuum Mechanics written by Carl T. F. Ross and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Technology & Engineering categories.
Bridging the gap between theoretical texts and the massive and expensive software packages, this handbook covers finite element programming in a wide range of problems in mechanical, civil, aeronautical and electrical engineering. Comprehensive, it ranges from the static analysis of two- and three-dimensional structures to stress analysis of thick slabs on elastic foundations, and from two- and three- dimensional vibration analysis problems to two-dimensional field problems including heat transfer and acoustic vibrations. The 24 printouts of powerful and valuable engineering computer programs, written in QUICK BASIC, are introduced by a preliminary chapter giving useful hints and formulae intended for structural design. The programs are capable of analysing problems in engineering design and manufacture, with text fully describing how to use the computer programs for their particular problems or tasks. The finite element method is used in all the programs, and the problems for analysis can be of quite complex design and shape and with complex boundary conditions. Covers finite element programming in a wide range of problems in mechanical, civil, aeronautical and electrical engineering Ranges from the static analysis of two- and three-dimensional structures to stress analysis of thick slabs on elastic foundations
A Continuum Theory And Finite Element Analysis For Degradation Of Material Surface
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Author : Kuan-Foung Fong
language : en
Publisher:
Release Date : 1989
A Continuum Theory And Finite Element Analysis For Degradation Of Material Surface written by Kuan-Foung Fong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Steel categories.
Large Strain Finite Element Method
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Author : Antonio Munjiza
language : en
Publisher: John Wiley & Sons
Release Date : 2015-02-16
Large Strain Finite Element Method written by Antonio Munjiza and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-16 with Mathematics categories.
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.
Contributions To Advanced Dynamics And Continuum Mechanics
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Author : Holm Altenbach
language : en
Publisher: Springer
Release Date : 2019-05-31
Contributions To Advanced Dynamics And Continuum Mechanics written by Holm Altenbach and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-31 with Science categories.
The book celebrates the 65th birthday of Prof. Alexander K. Belyaev—a well-known expert in the field of Dynamics of Mechanical Systems. In addition to reflecting Prof. Belyaev’s contributions, the papers gathered here address a range of current problems in Dynamics and Continuum Mechanics. All contributions were prepared by his friends and colleagues, and chiefly focus on theory and applications.
Computational Continuum Mechanics
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Author : Ahmed A. Shabana
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-12
Computational Continuum Mechanics written by Ahmed A. Shabana and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-12 with Science categories.
This second edition presents the theory of continuum mechanics using computational methods. The text covers a broad range of topics including general problems of large rotation and large deformations and the development and limitations of finite element formulations in solving such problems. Dr Shabana introduces theories on motion kinematics, strain, forces and stresses and goes on to discuss linear and nonlinear constitutive equations, including viscoelastic and plastic constitutive models. General nonlinear continuum mechanics theory is used to develop small and large finite element formulations which correctly describe rigid body motion for use in engineering applications. This second edition features a new chapter that focuses on computational geometry and finite element analysis. This book is ideal for graduate and undergraduate students, professionals and researchers who are interested in continuum mechanics.