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Nonlinear Continuum Mechanics For Finite Elasticity Plasticity

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Nonlinear Continuum Mechanics for Finite Elasticity Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity Plasticity Book
Author : Koichi Hashiguchi
Publisher : Elsevier
Release : 2020-06-19
ISBN : 0128194294
Language : En, Es, Fr & De

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Book Description :

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity empowers readers to fully understand the constitutive equation of finite strain, an essential piece in assessing the deformation/strength of materials and safety of structures. The book starts by providing a foundational overview of continuum mechanics, elasticity and plasticity, then segues into more sophisticated topics such as multiplicative decomposition of deformation gradient tensor with the isoclinic concept and the underlying subloading surface concept. The subloading surface concept insists that the plastic strain rate is not induced suddenly at the moment when the stress reaches the yield surface but it develops continuously as the stress approaches the yield surface, which is crucially important for the precise description of cyclic loading behavior. Then, the exact formulations of the elastoplastic and viscoplastic constitutive equations based on the multiplicative decomposition are expounded in great detail. The book concludes with examples of these concepts and modeling techniques being deployed in real-world applications. Table of Contents: 1. Mathematical Basics 2. General (Curvilinear) Coordinate System 3. Description of Deformation/Rotation in Convected Coordinate System 4. Deformation/Rotation (Rate) Tensors 5. Conservation Laws and Stress Tensors 6. Hyperelastic Equations 7. Development of Elastoplastic Constitutive Equations 8. Multiplicative Decomposition of Deformation Gradient Tensor 9. Multiplicative Hyperelastic-based Plastic and Viscoplastic Constitutive Equations 10. Friction Model: Finite Sliding Theory Covers both the fundamentals of continuum mechanics and elastoplasticity while also introducing readers to more advanced topics such as the subloading surface model and the multiplicative decomposition among others Approaches finite elastoplasticity and viscoplasticty theory based on multiplicative decomposition and the subloading surface model Provides a thorough introduction to the general tensor formulation details for the embedded curvilinear coordinate system and the multiplicative decomposition of the deformation gradient

Continuum Mechanics

Continuum Mechanics Book
Author : Ellis H. Dill
Publisher : CRC Press
Release : 2006-11-10
ISBN : 9780849397790
Language : En, Es, Fr & De

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Book Description :

Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.

Nonlinear Continuum Mechanics for Finite Element Analysis

Nonlinear Continuum Mechanics for Finite Element Analysis Book
Author : Javier Bonet,Richard D. Wood
Publisher : Cambridge University Press
Release : 2008-03-13
ISBN : 9781139467544
Language : En, Es, Fr & De

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Book Description :

Designing engineering components that make optimal use of materials requires consideration of the nonlinear characteristics associated with both manufacturing and working environments. The modeling of these characteristics can only be done through numerical formulation and simulation, and this requires an understanding of both the theoretical background and associated computer solution techniques. By presenting both nonlinear continuum analysis and associated finite element techniques under one roof, Bonet and Wood provide, in this edition of this successful text, a complete, clear, and unified treatment of these important subjects. New chapters dealing with hyperelastic plastic behavior are included, and the authors have thoroughly updated the FLagSHyP program, freely accessible at www.flagshyp.com. Worked examples and exercises complete each chapter, making the text an essential resource for postgraduates studying nonlinear continuum mechanics. It is also ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.

Continuum Mechanics Modeling of Material Behavior

Continuum Mechanics Modeling of Material Behavior Book
Author : Martin H. Sadd
Publisher : Academic Press
Release : 2018-03-31
ISBN : 0128116498
Language : En, Es, Fr & De

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Book Description :

Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries; kinematics of motion and deformation; force and stress measures; and mass, momentum and energy balance principles. The book then moves beyond other books by dedicating the last chapter to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity, as well as linear and nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Offers a thorough, concise and organized presentation of continuum mechanics formulation Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study Features extensive use of exercises, providing more material for student engagement and instructor presentation

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics Book
Author : Adnan Ibrahimbegovic
Publisher : Springer Science & Business Media
Release : 2009-06-02
ISBN : 9048123305
Language : En, Es, Fr & De

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Book Description :

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.

The Mechanics of Constitutive Modeling

The Mechanics of Constitutive Modeling Book
Author : Niels Saabye Ottosen,Matti Ristinmaa
Publisher : Elsevier
Release : 2005-09-28
ISBN : 9780080525693
Language : En, Es, Fr & De

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Book Description :

Constitutive modelling is the mathematical description of how materials respond to various loadings. This is the most intensely researched field within solid mechanics because of its complexity and the importance of accurate constitutive models for practical engineering problems. Topics covered include: Elasticity - Plasticity theory - Creep theory - The nonlinear finite element method - Solution of nonlinear equilibrium equations - Integration of elastoplastic constitutive equations - The thermodynamic framework for constitutive modelling – Thermoplasticity - Uniqueness and discontinuous bifurcations • More comprehensive in scope than competitive titles, with detailed discussion of thermodynamics and numerical methods. • Offers appropriate strategies for numerical solution, illustrated by discussion of specific models. • Demonstrates each topic in a complete and self-contained framework, with extensive referencing.

Continuum Theory of Plasticity

Continuum Theory of Plasticity Book
Author : Akhtar S. Khan,Sujian Huang
Publisher : John Wiley & Sons
Release : 1995-02-06
ISBN : 9780471310433
Language : En, Es, Fr & De

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Book Description :

The only modern, up-to-date introduction to plasticity Despite phenomenal progress in plasticity research over the past fifty years, introductory books on plasticity have changed very little. To meet the need for an up-to-date introduction to the field, Akhtar S. Khan and Sujian Huang have written Continuum Theory of Plasticity--a truly modern text which offers a continuum mechanics approach as well as a lucid presentation of the essential classical contributions. The early chapters give the reader a review of elementary concepts of plasticity, the necessary background material on continuum mechanics, and a discussion of the classical theory of plasticity. Recent developments in the field are then explored in sections on the Mroz Multisurface model, the Dafalias and Popov Two Surface model, the non-linear kinematic hardening model, the endochronic theory of plasticity, and numerous topics in finite deformation plasticity theory and strain space formulation for plastic deformation. Final chapters introduce the fundamentals of the micromechanics of plastic deformation and the analytical coupling between deformation of individual crystals and macroscopic material response of the polycrystal aggregate. For graduate students and researchers in engineering mechanics, mechanical, civil, and aerospace engineering, Continuum Theory of Plasticity offers a modern, comprehensive introduction to the entire subject of plasticity.

Computational Continuum Mechanics

Computational Continuum Mechanics Book
Author : Ahmed A. Shabana
Publisher : Cambridge University Press
Release : 2011-12-12
ISBN : 1139505424
Language : En, Es, Fr & De

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Book Description :

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.

Stanford Bulletin

Stanford Bulletin Book
Author : Anonim
Publisher : Unknown
Release : 2003
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Stanford Bulletin book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Basics of Continuum Plasticity

Basics of Continuum Plasticity Book
Author : Kwansoo Chung,Myoung-Gyu Lee
Publisher : Springer
Release : 2018-05-02
ISBN : 9811083061
Language : En, Es, Fr & De

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Book Description :

This book describes the basic principles of plasticity for students and engineers who wish to perform plasticity analyses in their professional lives, and provides an introduction to the application of plasticity theories and basic continuum mechanics in metal forming processes. This book consists of three parts. The first part deals with the characteristics of plasticity and instability under simple tension or compression and plasticity in beam bending and torsion. The second part is designed to provide the basic principles of continuum mechanics, and the last part presents an extension of one-dimensional plasticity to general three-dimensional laws based on the fundamentals of continuum mechanics. Though most parts of the book are written in the context of general plasticity, the last two chapters are specifically devoted to sheet metal forming applications. The homework problems included are designed to reinforce understanding of the concepts involved. This book may be used as a textbook for a one semester course lasting fourteen weeks or longer. This book is intended to be self-sufficient such that readers can study it independently without taking another formal course. However, there are some prerequisites before starting this book, which include a course on engineering mathematics and an introductory course on solid mechanics.

Introduction to Finite Strain Theory for Continuum Elasto Plasticity

Introduction to Finite Strain Theory for Continuum Elasto Plasticity Book
Author : Koichi Hashiguchi,Yuki Yamakawa
Publisher : John Wiley & Sons
Release : 2012-10-09
ISBN : 1118437721
Language : En, Es, Fr & De

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Book Description :

Comprehensive introduction to finite elastoplasticity,addressing various analytical and numerical analyses &including state-of-the-art theories Introduction to Finite Elastoplasticity presentsintroductory explanations that can be readily understood by readerswith only a basic knowledge of elastoplasticity, showing physicalbackgrounds of concepts in detail and derivation processes ofalmost all equations. The authors address various analytical andnumerical finite strain analyses, including new theories developedin recent years, and explain fundamentals including thepush-forward and pull-back operations and the Lie derivatives oftensors. As a foundation to finite strain theory, the authors begin byaddressing the advanced mathematical and physical properties ofcontinuum mechanics. They progress to explain a finiteelastoplastic constitutive model, discuss numerical issues onstress computation, implement the numerical algorithms for stresscomputation into large-deformation finite element analysis andillustrate several numerical examples of boundary-value problems.Programs for the stress computation of finite elastoplastic modelsexplained in this book are included in an appendix, and the codecan be downloaded from an accompanying website.

Nonlinear Finite Element Methods

Nonlinear Finite Element Methods Book
Author : Peter Wriggers
Publisher : Springer Science & Business Media
Release : 2008-09-24
ISBN : 3540710000
Language : En, Es, Fr & De

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Book Description :

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.

Computational Methods in Elasticity and Plasticity

Computational Methods in Elasticity and Plasticity Book
Author : A. Anandarajah
Publisher : Springer Science & Business Media
Release : 2011-01-04
ISBN : 9781441963796
Language : En, Es, Fr & De

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Book Description :

Computational Methods in Elasticity and Plasticity: Solids and Porous Media presents the latest developments in the area of elastic and elasto-plastic finite element modeling of solids, porous media and pressure-dependent materials and structures. The book covers the following topics in depth: the mathematical foundations of solid mechanics, the finite element method for solids and porous media, the theory of plasticity and the finite element implementation of elasto-plastic constitutive models. The book also includes: -A detailed coverage of elasticity for isotropic and anisotropic solids. -A detailed treatment of nonlinear iterative methods that could be used for nonlinear elastic and elasto-plastic analyses. -A detailed treatment of a kinematic hardening von Mises model that could be used to simulate cyclic behavior of solids. -Discussion of recent advances in the analysis of porous media and pressure-dependent materials in more detail than other books currently available. Computational Methods in Elasticity and Plasticity: Solids and Porous Media also contains problem sets, worked examples and a solutions manual for instructors.

Courses and Degrees

Courses and Degrees Book
Author : Stanford University
Publisher : Unknown
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Courses and Degrees book written by Stanford University, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Nonlinear Mechanics of Crystals

Nonlinear Mechanics of Crystals Book
Author : John D. Clayton
Publisher : Springer Science & Business Media
Release : 2010-11-01
ISBN : 9400703503
Language : En, Es, Fr & De

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Book Description :

This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.

The Mechanics and Thermodynamics of Continua

The Mechanics and Thermodynamics of Continua Book
Author : Morton E. Gurtin,Eliot Fried,Lallit Anand
Publisher : Cambridge University Press
Release : 2010-04-19
ISBN : 1139482157
Language : En, Es, Fr & De

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Book Description :

The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.

Peterson s Annual Guides to Graduate Study

Peterson s Annual Guides to Graduate Study Book
Author : Anonim
Publisher : Unknown
Release : 1982-12
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Peterson s Annual Guides to Graduate Study book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Classical and Computational Solid Mechanics

Classical and Computational Solid Mechanics Book
Author : Yuan-cheng Fung,Pin Tong
Publisher : World Scientific
Release : 2001
ISBN : 9789810241247
Language : En, Es, Fr & De

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Book Description :

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.

The Mechanical and Thermodynamical Theory of Plasticity

The Mechanical and Thermodynamical Theory of Plasticity Book
Author : Mehrdad Negahban
Publisher : CRC Press
Release : 2012-04-26
ISBN : 1466563214
Language : En, Es, Fr & De

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Book Description :

Born out of 15 years of courses and lectures on continuum mechanics, nonlinear mechanics, continuum thermodynamics, viscoelasticity, plasticity, crystal plasticity, and thermodynamic plasticity, The Mechanical and Thermodynamical Theory of Plasticity represents one of the most extensive and in-depth treatises on the mechanical and thermodynamical a

Government Reports Announcements Index

Government Reports Announcements   Index Book
Author : Anonim
Publisher : Unknown
Release : 1979
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Government Reports Announcements Index book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.