Nonlinear 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 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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  • Author : Koichi Hashiguchi
  • Publisher : Elsevier
  • Pages : 420 pages
  • ISBN : 0128194294
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKNonlinear Continuum Mechanics for Finite Elasticity Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity

Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity
  • Author : Koichi Hashiguchi
  • Publisher : Elsevier
  • Release : 19 June 2020
GET THIS 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 : 10 November 2006
GET THIS 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 : 13 March 2008
GET THIS 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

Continuum Mechanics Modeling of Material Behavior

Continuum Mechanics Modeling of Material Behavior
  • Author : Martin H. Sadd
  • Publisher : Academic Press
  • Release : 31 March 2018
GET THIS BOOKContinuum Mechanics Modeling of Material Behavior

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

Continuum Mechanics and Plasticity

Continuum Mechanics and Plasticity
  • Author : Han-Chin Wu
  • Publisher : CRC Press
  • Release : 20 December 2004
GET THIS BOOKContinuum Mechanics and Plasticity

Tremendous advances in computer technologies and methods have precipitated a great demand for refinements in the constitutive models of plasticity. Such refinements include the development of a model that would account for material anisotropy and produces results that compare well with experimental data. Key to developing such models-and to meeting many other challenges in the field- is a firm grasp of the principles of continuum mechanics and how they apply to the formulation of plasticity theory. Also critical is understanding

Elasticity and Plasticity of Large Deformations

Elasticity and Plasticity of Large Deformations
  • Author : Albrecht Bertram
  • Publisher : Springer Science & Business Media
  • Release : 07 October 2011
GET THIS 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.

Continuum Mechanics and Theory of Materials

Continuum Mechanics and Theory of Materials
  • Author : Peter Haupt
  • Publisher : Springer Science & Business Media
  • Release : 14 March 2013
GET THIS 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.

Continuum Mechanics of Solids

Continuum Mechanics of Solids
  • Author : Lallit Anand,Sanjay Govindjee
  • Publisher : Oxford University Press
  • Release : 21 July 2020
GET THIS BOOKContinuum Mechanics of Solids

Continuum Mechanics of Solids is an introductory text for graduate students in the many branches of engineering, covering the basics of kinematics, equilibrium, and material response. As an introductory book, most of the emphasis is upon the kinematically linear theories of elasticity, plasticity, and viscoelasticity, with two additional chapters devoted to topics in finite elasticity. Further chapters cover topics in fracture and fatigue and coupled field problems, such as thermoelasticity, chemoelasticity, poroelasticity, and piezoelectricity. There is ample material for a

Nonlinear Mechanics of Crystals

Nonlinear Mechanics of Crystals
  • Author : John D. Clayton
  • Publisher : Springer Science & Business Media
  • Release : 01 November 2010
GET THIS BOOKNonlinear Mechanics of Crystals

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

Elastoplasticity Theory

Elastoplasticity Theory
  • Author : Vlado A. Lubarda
  • Publisher : CRC Press
  • Release : 16 July 2001
GET THIS BOOKElastoplasticity Theory

Understanding the elastoplastic deformation of metals and geomaterials, including the constitutive description of the materials and analysis of structure undergoing plastic deformation, is an essential part of the background required by mechanical, civil, and geotechnical engineers as well as materials scientists. However, most books address the subject at a introductory level and within the infinitesimal strain context. Elastoplasticity Theory takes a different approach in an advanced treatment presented entirely within the framework of finite deformation. This comprehensive, self-contained text includes

Notes on Continuum Mechanics

Notes on Continuum Mechanics
  • Author : Eduardo WV Chaves
  • Publisher : Springer Science & Business Media
  • Release : 13 June 2013
GET THIS BOOKNotes on Continuum Mechanics

This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations),

Applied Mechanics of Solids

Applied Mechanics of Solids
  • Author : Allan F. Bower
  • Publisher : CRC Press
  • Release : 05 October 2009
GET THIS BOOKApplied Mechanics of Solids

Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

Continuum Mechanics for Engineers

Continuum Mechanics for Engineers
  • Author : G. Thomas Mase,Ronald E. Smelser,Jenn Stroud Rossmann
  • Publisher : CRC Press
  • Release : 01 May 2020
GET THIS BOOKContinuum Mechanics for Engineers

A bestselling textbook in its first three editions, Continuum Mechanics for Engineers, Fourth Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. It provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. Through a mastery of this volume’s contents and additional rigorous finite element training, readers will develop the mechanics foundation necessary to skillfully use modern, advanced design tools. Features: Provides a basic, understandable approach to the concepts,

Nonlinear Continuum Mechanics and Physics

Nonlinear Continuum Mechanics and Physics
  • Author : Shaofan Li
  • Publisher : Academic Press
  • Release : 01 April 2019
GET THIS BOOKNonlinear Continuum Mechanics and Physics

Nonlinear Continuum Mechanics and Physics provides a differential geometry approach to nonlinear continuum mechanics that will appeal to both engineers and material scientists. It includes heuristic and rigorous expositions of crucial concepts like finite deformation compatibility conditions, the Lie-derivative, frame-indifference and material symmetry principles. With exercises at the end of each chapter to emphasize concepts, readers will be able to further understand the latest techniques and research. This book is designed to support postgraduates and researchers in the areas of