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Computational Methods In Solid Mechanics


Computational Methods In Solid Mechanics
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Computational Methods In Solid Mechanics


Computational Methods In Solid Mechanics
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Author : A. Curnier
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Computational Methods In Solid Mechanics written by A. Curnier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


This volume presents an introduction to the three numerical methods most commonly used in the mechanical analysis of deformable solids, viz. the finite element method (FEM), the linear iteration method (LIM), and the finite difference method (FDM). The book has been written from the point of view of simplicity and unity; its originality lies in the comparable emphasis given to the spatial, temporal and nonlinear dimensions of problem solving. This leads to a neat global algorithm. Chapter 1 addresses the problem of a one-dimensional bar, with emphasis being given to the virtual work principle. Chapters 2--4 present the three numerical methods. Although the discussion relates to a one-dimensional model, the formalism used is extendable to two-dimensional situations. Chapter 5 is devoted to a detailed discussion of the compact combination of the three methods, and contains several sections concerning their computer implementation. Finally, Chapter 6 gives a generalization to two and three dimensions of both the mechanical and numerical aspects. For graduate students and researchers whose work involves the theory and application of computational solid mechanics.



Computational Methods In Solid Mechanics


Computational Methods In Solid Mechanics
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Author : A. Curnier
language : en
Publisher: Springer
Release Date : 2011-10-01

Computational Methods In Solid Mechanics written by A. Curnier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-01 with Mathematics categories.




Computational Methods For Plasticity


Computational Methods For Plasticity
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Author : Eduardo A. de Souza Neto
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-21

Computational Methods For Plasticity written by Eduardo A. de Souza Neto 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 2011-09-21 with Science categories.


The subject of computational plasticity encapsulates the numerical methods used for the finite element simulation of the behaviour of a wide range of engineering materials considered to be plastic – i.e. those that undergo a permanent change of shape in response to an applied force. Computational Methods for Plasticity: Theory and Applications describes the theory of the associated numerical methods for the simulation of a wide range of plastic engineering materials; from the simplest infinitesimal plasticity theory to more complex damage mechanics and finite strain crystal plasticity models. It is split into three parts - basic concepts, small strains and large strains. Beginning with elementary theory and progressing to advanced, complex theory and computer implementation, it is suitable for use at both introductory and advanced levels. The book: Offers a self-contained text that allows the reader to learn computational plasticity theory and its implementation from one volume. Includes many numerical examples that illustrate the application of the methodologies described. Provides introductory material on related disciplines and procedures such as tensor analysis, continuum mechanics and finite elements for non-linear solid mechanics. Is accompanied by purpose-developed finite element software that illustrates many of the techniques discussed in the text, downloadable from the book’s companion website. This comprehensive text will appeal to postgraduate and graduate students of civil, mechanical, aerospace and materials engineering as well as applied mathematics and courses with computational mechanics components. It will also be of interest to research engineers, scientists and software developers working in the field of computational solid mechanics.



Classical And Computational Solid Mechanics


Classical And Computational Solid Mechanics
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Author : Yuan-cheng Fung
language : en
Publisher: World Scientific
Release Date : 2001

Classical And Computational Solid Mechanics written by Yuan-cheng Fung and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Technology & Engineering categories.


This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions. The classical part is a revision of the well-known text Foundations of Solid Mechanics, with a much-expanded discussion on the theories of plasticity and large elastic deformation with finite strains. The computational part is all new and is aimed at solving many major linear and nonlinear boundary-value problems.



Nonlinear Computational Solid Mechanics


Nonlinear Computational Solid Mechanics
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Author : Jamshid Ghaboussi
language : en
Publisher: CRC Press
Release Date : 2017-07-06

Nonlinear Computational Solid Mechanics written by Jamshid Ghaboussi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-06 with Mathematics categories.


This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems. This book serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.



Multiscale Modeling In Solid Mechanics


Multiscale Modeling In Solid Mechanics
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Author : Ugo Galvanetto
language : en
Publisher: World Scientific
Release Date : 2010

Multiscale Modeling In Solid Mechanics written by Ugo Galvanetto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Technology & Engineering categories.


This unique volume presents the state of the art in the field of multiscale modeling in solid mechanics, with particular emphasis on computational approaches. For the first time, contributions from both leading experts in the field and younger promising researchers are combined to give a comprehensive description of the recently proposed techniques and the engineering problems tackled using these techniques. The book begins with a detailed introduction to the theories on which different multiscale approaches are based, with regards to linear homogenization as well as various nonlinear approaches. It then presents advanced applications of multiscale approaches applied to nonlinear mechanical problems. Finally, the novel topic of materials with self-similar structure is discussed.



Classical And Computational Solid Mechanics Second Edition


Classical And Computational Solid Mechanics Second Edition
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Author : Yuen-cheng Fung
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-05-25

Classical And Computational Solid Mechanics Second Edition written by Yuen-cheng Fung and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-25 with Technology & Engineering categories.


The second edition provides an update of the recent developments in classical and computational solid mechanics. The structure of the book is also updated to include five new areas: Fundamental Principles of Thermodynamics and Coupled Thermoelastic Constitutive Equations at Large Deformations, Functional Thermodynamics and Thermoviscoelasticity, Thermodynamics with Internal State Variables and Thermo-Elasto-Viscoplasticity, Electro-Thermo-Viscoelasticity/Viscoplasticity, and Meshless Method. These new topics are added as self-contained sections or chapters. Many books in the market do not cover these topics.This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives the first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions.



Nonlinear Solid Mechanics


Nonlinear Solid Mechanics
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Author : Adnan Ibrahimbegovic
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-02

Nonlinear Solid Mechanics written by Adnan Ibrahimbegovic and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-02 with Computers categories.


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.



Computational Engineering Introduction To Numerical Methods


Computational Engineering Introduction To Numerical Methods
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Author : Michael Schäfer
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-20

Computational Engineering Introduction To Numerical Methods written by Michael Schäfer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-20 with Mathematics categories.


Introduction.- Modelling of Continuum Mechanical Problems.- Discretization of Problem Domain.- Finite-Volume Methods.- Finite-Element Methods.- Time Discretization.- Solution of Algebraic Systems of Equations.- Properties of Numerical Methods.- Finite-Element Methods in Structural Mechanics.- Finite-Volume Methods for Incompressible Flows.- Acceleration of Computations.- List of Symbols.- References.- Index.



Immersed Boundary Method


Immersed Boundary Method
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Author : Somnath Roy
language : en
Publisher: Springer Nature
Release Date : 2020-05-15

Immersed Boundary Method written by Somnath Roy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-15 with Technology & Engineering categories.


This volume presents the emerging applications of immersed boundary (IB) methods in computational mechanics and complex CFD calculations. It discusses formulations of different IB implementations and also demonstrates applications of these methods in a wide range of problems. It will be of special value to researchers and engineers as well as graduate students working on immersed boundary methods, specifically on recent developments and applications. The book can also be used as a supplementary textbook in advanced courses in computational fluid dynamics.