Computational Continuum Mechanics
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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.
Classical Continuum Mechanics
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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2022-01-24
Classical Continuum Mechanics written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-24 with Science categories.
This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua. Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics. This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.
Computational Continuum Mechanics Of Nanoscopic Structures
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Author : Esmaeal Ghavanloo
language : en
Publisher: Springer
Release Date : 2019-02-19
Computational Continuum Mechanics Of Nanoscopic Structures written by Esmaeal Ghavanloo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-19 with Science categories.
This book offers a comprehensive treatment of nonlocal elasticity theory as applied to the prediction of the mechanical characteristics of various types of biological and non-biological nanoscopic structures with different morphologies and functional behaviour. It combines fundamental notions and advanced concepts, covering both the theory of nonlocal elasticity and the mechanics of nanoscopic structures and systems. By reporting on recent findings and discussing future challenges, the book seeks to foster the application of nonlocal elasticity based approaches to the emerging fields of nanoscience and nanotechnology. It is a self-contained guide, and covers all relevant background information, the requisite mathematical and computational techniques, theoretical assumptions, physical methods and possible limitations of the nonlocal approach, including some practical applications. Mainly written for researchers in the fields of physics, biophysics, mechanics, and nanoscience, as well as computational engineers, the book can also be used as a reference guide for senior undergraduate and graduate students, as well as practicing engineers working in a range of areas, such as computational condensed matter physics, computational materials science, computational nanoscience and nanotechnology, and nanomechanics.
An Introduction To Continuum Mechanics
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Author : J. N. Reddy
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-29
An Introduction To Continuum Mechanics written by J. N. Reddy 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 2013-07-29 with Mathematics categories.
This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.
Computational Reality
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Author : Bilen Emek Abali
language : en
Publisher: Springer
Release Date : 2016-10-22
Computational Reality written by Bilen Emek Abali and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-22 with Science categories.
This book presents the theory of continuum mechanics for mechanical, thermodynamical, and electrodynamical systems. It shows how to obtain governing equations and it applies them by computing the reality. It uses only open-source codes developed under the FEniCS project and includes codes for 20 engineering applications from mechanics, fluid dynamics, applied thermodynamics, and electromagnetism. Moreover, it derives and utilizes the constitutive equations including coupling terms, which allow to compute multiphysics problems by incorporating interactions between primitive variables, namely, motion, temperature, and electromagnetic fields. An engineering system is described by the primitive variables satisfying field equations that are partial differential equations in space and time. The field equations are mostly coupled and nonlinear, in other words, difficult to solve. In order to solve the coupled, nonlinear system of partial differential equations, the book uses a novel collection of open-source packages developed under the FEniCS project. All primitive variables are solved at once in a fully coupled fashion by using finite difference method in time and finite element method in space.
Classical And Computational Solid Mechanics
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Author : Pin Tong
language : en
Publisher: World Scientific Publishing Company
Release Date : 2001-06-29
Classical And Computational Solid Mechanics written by Pin Tong 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 2001-06-29 with Science 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.
Introductory Computational Continuum Mechanics Using Finite Elements
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Author : A. J. Baker
language : en
Publisher:
Release Date : 1975
Introductory Computational Continuum Mechanics Using Finite Elements written by A. J. Baker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Continuum mechanics categories.
An Introduction To Continuum Mechanics
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Author : J. N. Reddy
language : en
Publisher: Cambridge University Press
Release Date : 2007-10-29
An Introduction To Continuum Mechanics written by J. N. Reddy 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 2007-10-29 with Technology & Engineering categories.
This textbook on continuum mechanics reflects the modern view that scientists and engineers should be trained to think and work in multidisciplinary environments. The book is ideal for advanced undergraduate and beginning graduate students. The book features: derivations of the basic equations of mechanics in invariant (vector and tensor) form and specializations of the governing equations to various coordinate systems; numerous illustrative examples; chapter-end summaries; and exercise problems to test and extend the understanding of concepts presented.
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.
Computational Methods In Structural And Continuum Mechanics
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Author : C. T. F. Ross
language : en
Publisher:
Release Date : 1982
Computational Methods In Structural And Continuum Mechanics written by C. T. F. Ross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with BASIC (Computer program language) categories.