Nonlinear Continuum Mechanics for Finite Elasticity Plasticity

Written By Koichi Hashiguchi
Nonlinear Continuum Mechanics for Finite Elasticity Plasticity
  • Publsiher : Elsevier
  • Release : 19 June 2020
  • ISBN : 0128194294
  • Pages : 420 pages
  • Rating : /5 from reviews
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Download or read book entitled Nonlinear Continuum Mechanics for Finite Elasticity Plasticity by author: Koichi Hashiguchi which was release on 19 June 2020 and published by Elsevier with total page 420 pages . This book available in PDF, EPUB and Kindle Format. 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

Nonlinear Continuum Mechanics for Finite Elasticity Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity Plasticity
  • Author : Koichi Hashiguchi
  • Publisher : Elsevier
  • Release Date : 2020-06-19
  • Total pages : 420
  • ISBN : 0128194294
GET BOOK

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 ...

Continuum Mechanics

Continuum Mechanics
  • Author : Ellis H. Dill
  • Publisher : CRC Press
  • Release Date : 2006-11-10
  • Total pages : 368
  • ISBN : 0128194294
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Summary : 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 ...

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
  • Total pages : 643
  • ISBN : 0128194294
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Summary : 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....

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
  • Total pages : 212
  • ISBN : 0128194294
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Summary : 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 ...

Continuum Mechanics Modeling of Material Behavior

Continuum Mechanics Modeling of Material Behavior
  • Author : Martin H. Sadd
  • Publisher : Academic Press
  • Release Date : 2018-03-31
  • Total pages : 432
  • ISBN : 0128194294
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Summary : 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 ...

Elementary Continuum Mechanics for Everyone

Elementary Continuum Mechanics for Everyone
  • Author : Esben Byskov
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-02-03
  • Total pages : 593
  • ISBN : 0128194294
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Summary : The book opens with a derivation of kinematically nonlinear 3-D continuum mechanics for solids. Then the principle of virtual work is utilized to derive the simpler, kinematically linear 3-D theory and to provide the foundation for developing consistent theories of kinematic nonlinearity and linearity for specialized continua, such as beams ...

Nonlinear Mechanics of Crystals

Nonlinear Mechanics of Crystals
  • Author : John D. Clayton
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-11-01
  • Total pages : 700
  • ISBN : 0128194294
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Summary : 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 ...

Stanford Bulletin

Stanford Bulletin
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2003
  • Total pages : 212
  • ISBN : 0128194294
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Summary : Read online Stanford Bulletin written by , published by which was released on 2003. Download full Stanford Bulletin Books now! Available in PDF, ePub and Kindle....

The Mechanics of Constitutive Modeling

The Mechanics of Constitutive Modeling
  • Author : Niels Saabye Ottosen,Matti Ristinmaa
  • Publisher : Elsevier
  • Release Date : 2005-09-28
  • Total pages : 700
  • ISBN : 0128194294
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Summary : 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 ...

Computational Continuum Mechanics

Computational Continuum Mechanics
  • Author : Ahmed A. Shabana
  • Publisher : John Wiley & Sons
  • Release Date : 2018-02-20
  • Total pages : 368
  • ISBN : 0128194294
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Summary : An updated and expanded edition of the popular guide to basic continuum mechanics and computational techniques This updated third edition of the popular reference covers state-of-the-art computational techniques for basic continuum mechanics modeling of both small and large deformations. Approaches to developing complex models are described in detail, and numerous ...

The Mechanics and Thermodynamics of Continua

The Mechanics and Thermodynamics of Continua
  • Author : Morton E. Gurtin,Eliot Fried,Lallit Anand
  • Publisher : Cambridge University Press
  • Release Date : 2010-04-19
  • Total pages : 212
  • ISBN : 0128194294
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Summary : 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 ...

Courses and Degrees

Courses and Degrees
  • Author : Stanford University
  • Publisher : Unknown
  • Release Date : 1993
  • Total pages : 212
  • ISBN : 0128194294
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Summary : Read online Courses and Degrees written by Stanford University, published by which was released on 1993. Download full Courses and Degrees Books now! Available in PDF, ePub and Kindle....

Elasticity and Plasticity of Large Deformations

Elasticity and Plasticity of Large Deformations
  • Author : Albrecht Bertram
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-08-03
  • Total pages : 340
  • ISBN : 0128194294
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Summary : 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 ...

Nonlinear Finite Elements for Continua and Structures

Nonlinear Finite Elements for Continua and Structures
  • Author : Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary
  • Publisher : John Wiley & Sons
  • Release Date : 2013-11-25
  • Total pages : 832
  • ISBN : 0128194294
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Summary : This updated and expanded edition of the bestselling textbookprovides a comprehensive introduction to the methods and theory ofnonlinear finite element analysis. New material provides a conciseintroduction to some of the cutting-edge methods that have evolvedin recent years in the field of nonlinear finite element modeling,and includes the eXtended finite ...

Continuum Theory of Plasticity

Continuum Theory of Plasticity
  • Author : Akhtar S. Khan,Sujian Huang
  • Publisher : John Wiley & Sons
  • Release Date : 1995-02-06
  • Total pages : 440
  • ISBN : 0128194294
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Summary : 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 ...