Nonlinear Continuum Mechanics for Finite Elasticity Plasticity

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  • Publisher : Elsevier
  • Release : 19 June 2020
  • ISBN : 9780128194294
  • Page : 420 pages
  • Rating : 4.5/5 from 103 voters

Nonlinear Continuum Mechanics for Finite Elasticity Plasticity Book PDF summary

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

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Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity
  • Author : Koichi Hashiguchi
  • Publisher : Elsevier
  • Release Date : 2020-06-19
  • ISBN : 9780128194294
DOWNLOAD BOOKNonlinear Continuum Mechanics for Finite Elasticity-Plasticity

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

Continuum Mechanics

Continuum Mechanics
  • Author : Ellis H. Dill
  • Publisher : CRC Press
  • Release Date : 2006-11-10
  • ISBN : 0849397790
DOWNLOAD BOOKContinuum Mechanics

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

Nonlinear Continuum Mechanics for Finite Element Analysis

Nonlinear Continuum Mechanics for Finite Element Analysis
  • Author : Javier Bonet,Richard D. Wood
  • Publisher : Cambridge University Press
  • Release Date : 2008-03-13
  • ISBN : 1139467549
DOWNLOAD BOOKNonlinear Continuum Mechanics for Finite Element Analysis

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

Nonlinear Continuum Mechanics of Solids

Nonlinear Continuum Mechanics of Solids
  • Author : Yavuz Basar,Dieter Weichert
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-11-11
  • ISBN : 9783662042991
DOWNLOAD BOOKNonlinear Continuum Mechanics of Solids

The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book

Nonlinear Solid Mechanics for Finite Element Analysis: Statics

Nonlinear Solid Mechanics for Finite Element Analysis: Statics
  • Author : Javier Bonet,Antonio J. Gil,Richard D. Wood
  • Publisher : Cambridge University Press
  • Release Date : 2016-06-23
  • ISBN : 9781107115798
DOWNLOAD BOOKNonlinear Solid Mechanics for Finite Element Analysis: Statics

A clear and complete postgraduate introduction to the theory and computer programming for the complex simulation of material behavior.

Continuum Mechanics and Theory of Materials

Continuum Mechanics and Theory of Materials
  • Author : Peter Haupt
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-14
  • ISBN : 9783662047750
DOWNLOAD BOOKContinuum Mechanics and Theory of Materials

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.

Hyperelasticity Primer

Hyperelasticity Primer
  • Author : Robert M. Hackett
  • Publisher : Springer
  • Release Date : 2015-09-30
  • ISBN : 9783319232737
DOWNLOAD BOOKHyperelasticity Primer

This book introduces the subject of hyperelasticity in a concise manner mainly directed to students of solid mechanics who have a familiarity with continuum mechanics. It focuses on important introductory topics in the field of nonlinear material behavior and presents a number of example problems and solutions to greatly aid the student in mastering the difficulty of the subject and gaining necessary insight. Professor Hackett delineates the concepts and applications of hyperelasticity in such a way that a new student

Applied Mechanics Reviews

Applied Mechanics Reviews
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1975
  • ISBN : UIUC:30112032440874
DOWNLOAD BOOKApplied Mechanics Reviews

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics
  • Author : Adnan Ibrahimbegovic
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-04-02
  • ISBN : 9789048123315
DOWNLOAD BOOKNonlinear Solid Mechanics

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.

Elasticity and Plasticity of Large Deformations

Elasticity and Plasticity of Large Deformations
  • Author : Albrecht Bertram
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-10-07
  • ISBN : 9783642246159
DOWNLOAD BOOKElasticity and Plasticity of Large Deformations

Nonlinear Continuum Mechanics is a rapidly growing field of research. Since the last edition of this book, many important results in this field have been published. This new edition refers to the most important results. The part on hyperelastic models and anisotropic yield criteria has been enlarged and an outlook on Material Plasticity has been added.

Nonlinear Finite Element Analysis of Solids and Structures

Nonlinear Finite Element Analysis of Solids and Structures
  • Author : René de Borst,Mike A. Crisfield,Joris J. C. Remmers,Clemens V. Verhoosel
  • Publisher : John Wiley & Sons
  • Release Date : 2012-07-25
  • ISBN : 9781118376010
DOWNLOAD BOOKNonlinear Finite Element Analysis of Solids and Structures

Built upon the two original books by Mike Crisfield and theirown lecture notes, renowned scientist René de Borst and histeam offer a thoroughly updated yet condensed edition that retainsand builds upon the excellent reputation and appeal amongststudents and engineers alike for which Crisfield's first edition isacclaimed. Together with numerous additions and updates, the new authorshave retained the core content of the original publication, whilebringing an improved focus on new developments and ideas. Thisedition offers the latest insights in non-linear finite

Nonlinear Solid Mechanics

Nonlinear Solid Mechanics
  • Author : Davide Bigoni
  • Publisher : Cambridge University Press
  • Release Date : 2012-07-30
  • ISBN : 9781107025417
DOWNLOAD BOOKNonlinear Solid Mechanics

Addresses behaviour of materials under extreme mechanical conditions and of failure in terms of non-linear continuum mechanics and instability theory.

The Catalogue of Computational Material Models

The Catalogue of Computational Material Models
  • Author : Paul Steinmann,Kenneth Runesson
  • Publisher : Springer Nature
  • Release Date : 2021-03-20
  • ISBN : 9783030636845
DOWNLOAD BOOKThe Catalogue of Computational Material Models

This book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each

Elasticity and Plasticity of Large Deformations

Elasticity and Plasticity of Large Deformations
  • Author : Albrecht Bertram
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-02-03
  • ISBN : 9783540275251
DOWNLOAD BOOKElasticity and Plasticity of Large Deformations

This careful and detailed introduction to non-linear continuum mechanics and to elasticity and platicity, with a unique mathematical foundation, starts right from the basics. The general theory of mechanical behaviour is particularized for the broad and important classes of elasticity and plasticity. Brings the reader to the forefront of today's knowledge. A list of notations and an index help the reader finding specific topics.

Nonlinear Continuum Mechanics and Large Inelastic Deformations

Nonlinear Continuum Mechanics and Large Inelastic Deformations
  • Author : Yuriy I. Dimitrienko
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-12-25
  • ISBN : 9789400700345
DOWNLOAD BOOKNonlinear Continuum Mechanics and Large Inelastic Deformations

The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic