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.

Lattice Dynamical Foundations Of Continuum Theories Elasticity Piezoelectricity Viscoelasticity Plasticity

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Author : Attila Askar
language : en
Publisher: World Scientific
Release Date : 1986-07-01

Lattice Dynamical Foundations Of Continuum Theories Elasticity Piezoelectricity Viscoelasticity Plasticity written by Attila Askar and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-07-01 with categories.

This book presents a discussion of lattice dynamics for perfect and imperfect lattices and their relation to continuum theories of elasticity, piezoelectricity, viscoelasticity and plasticity. Some of the material is rather classical and close in spirit to solid state physics. A major aim here is to present a coherent theory for the four basic behavior types in the style of continuum mechanics. In each case, emphasis is on an explicit display of the physical mechanisms involved rather than general formalisms. The material is presented in terms of an atomistic picture for the discrete system. The basic ideas are believed to be relevant also at an intermediate scale in the continuum description of media with structure such as granular materials and composites.

A Practical Guide To Opensees

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Author : Quan Gu
language : en
Publisher: World Scientific
Release Date : 2023-08-28

A Practical Guide To Opensees written by Quan Gu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-28 with Technology & Engineering categories.

The unique compendium teaches beginners how to perform nonlinear finite element (FE) analysis by following a series of step-by-step examples and basic programming method using OpenSees. The scope of the book includes nonlinear FE analyses of reinforced concrete frame shear wall structures, liquefiable soils, soil-structure interaction systems, fluid-solid coupling systems, high-speed railway systems, as well as introduces the sensitivity, reliability, optimization, peridynamic (PD) analysis, and the integration of OpenSees with other softwares. This must-have reference also teaches users how to program by adding simple material and element models, as well as PD algorithms in OpenSees.

Multiscale Optimization And Materials Design

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Author : Jun Yan
language : en
Publisher: World Scientific
Release Date : 2020-12-29

Multiscale Optimization And Materials Design written by Jun Yan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-29 with Technology & Engineering categories.

The book presents a set of novel, efficient and systematic concurrent multiscale optimization methods by considering the distribution of the material in macro-scale and the unit-cell configuration design in micro-scale simultaneously. Different from the traditional optimization method that is performed in a single scale, the proposed methods could generate a great deal of improvements in structural performance through the multiscale structure-material concurrent optimum design.The proposed theory and methods are related to statics, dynamics, thermoelastics and the coupling of different physical fields. Therefore, it provides a comprehensive designing scheme when multiple factors are taken into account. For example, the designing scheme can have a great significance on enhancing the structural performances under coupled multi-physical fields, such as load bearing capacity, vibration resistance ability, and safety under thermal stress and so on.Several numerical examples are highlighted in this unique volume based on practical engineering applications. The examples collectively demonstrate drastically improved designs featuring excellent unit-cell configuration and highly regular macroscale material distribution in a variety of industrial applications.

The Finite Element Analysis Of Shells Fundamentals

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Author : Dominique Chapelle
language : en
Publisher: Springer Science & Business Media
Release Date : 2003

The Finite Element Analysis Of Shells Fundamentals written by Dominique Chapelle 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 2003 with Mathematics categories.

Shell structures are found abundantly in engineering designs and are routinely analyzed with finite element methods. The objective of this book is to present, in a unified manner, modern finite element procedures for general shell analysis. The first chapters introduce the basic concepts for the analysis of shells, explain the mathematical preliminaries, and discuss the mathematical models of plates and shells including their asymptotic properties. The following chapters deal with finite element discretization methods for plates and shells. At the end of the book, applications of these methods in modern engineering practice are described and an overview of nonlinear shell analysis is given.

Continuum Mechanics And Theory Of Materials

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Author : Peter Haupt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Continuum Mechanics And Theory Of Materials written by Peter Haupt 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 2013-03-14 with Technology & Engineering categories.

The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

The Elements Of Continuum Biomechanics

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Author : Marcelo Epstein
language : en
Publisher: John Wiley & Sons
Release Date : 2012-07-13

The Elements Of Continuum Biomechanics written by Marcelo Epstein 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 2012-07-13 with Science categories.

An appealing and engaging introduction to Continuum Mechanics in Biosciences This book presents the elements of Continuum Mechanics to people interested in applications to biological systems. It is divided into two parts, the first of which introduces the basic concepts within a strictly one-dimensional spatial context. This policy has been adopted so as to allow the newcomer to Continuum Mechanics to appreciate how the theory can be applied to important issues in Biomechanics from the very beginning. These include mechanical and thermodynamical balance, materials with fading memory and chemically reacting mixtures. In the second part of the book, the fully fledged three-dimensional theory is presented and applied to hyperelasticity of soft tissue, and to theories of remodeling, aging and growth. The book closes with a chapter devoted to Finite Element analysis. These and other topics are illustrated with case studies motivated by biomedical applications, such as vibration of air in the air canal, hyperthermia treatment of tumours, striated muscle memory, biphasic model of cartilage and adaptive elasticity of bone. The book offers a challenging and appealing introduction to Continuum Mechanics for students and researchers of biomechanics, and other engineering and scientific disciplines. Key features: Explains continuum mechanics using examples from biomechanics for a uniquely accessible introduction to the topic Moves from foundation topics, such as kinematics and balance laws, to more advanced areas such as theories of growth and the finite element method.. Transition from a one-dimensional approach to the general theory gives the book broad coverage, providing a clear introduction for beginners new to the topic, as well as an excellent foundation for those considering moving to more advanced application

Introduction To Finite Element Analysis Using Matlab And Abaqus

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Author : Amar Khennane
language : en
Publisher: CRC Press
Release Date : 2013-06-10

Introduction To Finite Element Analysis Using Matlab And Abaqus written by Amar Khennane and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-10 with Technology & Engineering categories.

There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balance between its mathematical formulation, programming implementation, and application using commercial software. The computer implementation is carried out using MATLAB, while the practical applications are carried out in both MATLAB and Abaqus. MATLAB is a high-level language specially designed for dealing with matrices, making it particularly suited for programming the finite element method, while Abaqus is a suite of commercial finite element software. Includes more than 100 tables, photographs, and figures Provides MATLAB codes to generate contour plots for sample results Introduction to Finite Element Analysis Using MATLAB and Abaqus introduces and explains theory in each chapter, and provides corresponding examples. It offers introductory notes and provides matrix structural analysis for trusses, beams, and frames. The book examines the theories of stress and strain and the relationships between them. The author then covers weighted residual methods and finite element approximation and numerical integration. He presents the finite element formulation for plane stress/strain problems, introduces axisymmetric problems, and highlights the theory of plates. The text supplies step-by-step procedures for solving problems with Abaqus interactive and keyword editions. The described procedures are implemented as MATLAB codes and Abaqus files can be found on the CRC Press website.

Finite Elements Analysis

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Author : H. Lakshmininarayana
language : en
Publisher: Universities Press
Release Date : 2004-10

Finite Elements Analysis written by H. Lakshmininarayana and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10 with Engineering mathematics categories.

This textbook has emerged from three decades of experience gained by the author in education, research and practice. The basic concepts, mathematical models and computational algorithms supporting the Finite Element Method (FEM) are clearly and concisely developed.

The Elements Of Continuum Biomechanics

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Author : Marcelo Epstein
language : en
Publisher: John Wiley & Sons
Release Date : 2012-08-13

The Elements Of Continuum Biomechanics written by Marcelo Epstein 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 2012-08-13 with Science categories.

An appealing and engaging introduction to Continuum Mechanics in Biosciences This book presents the elements of Continuum Mechanics to people interested in applications to biological systems. It is divided into two parts, the first of which introduces the basic concepts within a strictly one-dimensional spatial context. This policy has been adopted so as to allow the newcomer to Continuum Mechanics to appreciate how the theory can be applied to important issues in Biomechanics from the very beginning. These include mechanical and thermodynamical balance, materials with fading memory and chemically reacting mixtures. In the second part of the book, the fully fledged three-dimensional theory is presented and applied to hyperelasticity of soft tissue, and to theories of remodeling, aging and growth. The book closes with a chapter devoted to Finite Element analysis. These and other topics are illustrated with case studies motivated by biomedical applications, such as vibration of air in the air canal, hyperthermia treatment of tumours, striated muscle memory, biphasic model of cartilage and adaptive elasticity of bone. The book offers a challenging and appealing introduction to Continuum Mechanics for students and researchers of biomechanics, and other engineering and scientific disciplines. Key features: Explains continuum mechanics using examples from biomechanics for a uniquely accessible introduction to the topic Moves from foundation topics, such as kinematics and balance laws, to more advanced areas such as theories of growth and the finite element method.. Transition from a one-dimensional approach to the general theory gives the book broad coverage, providing a clear introduction for beginners new to the topic, as well as an excellent foundation for those considering moving to more advanced application