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Gradient Enhanced Continuum Plasticity

Gradient Enhanced Continuum Plasticity
  • Author : George Z. Voyiadjis
  • Publsiher : Elsevier
  • Release : 27 March 2020
  • ISBN : 0128177675
  • Pages : 404 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKGradient Enhanced Continuum Plasticity

Summary:
Gradient-Enhanced Continuum Plasticity provides an expansive review of gradient-enhanced continuum plasticity from the initial stage to current research trends in experimental, theoretical, computational and numerical investigations. Starting with an overview of continuum mechanics and classical plasticity, the book then delves into concise lessons covering basic principles and applications, such as outlining the use of the finite element method to solve problems with size effects, mesh sensitivity and high velocity impact loading. All major theories are explored, providing readers with a guide to understanding the various concepts of and differences between an array of gradient-enhanced continuum plasticity models. Outlines the concepts of, and differences between, various gradient-enhanced continuum plasticity models Provides guidance on problem-solving for size effects, mesh-sensitivity tests and thermo-mechanical coupling Reviews experimental, numerical and theoretical issues in gradient-enhanced continuum plasticity Describes micromechanical aspects from experimental observations


Gradient-Enhanced Continuum Plasticity

Gradient-Enhanced Continuum Plasticity
  • Author : George Z. Voyiadjis,Yooseob Song
  • Publisher : Elsevier
  • Release : 27 March 2020
GET THIS BOOKGradient-Enhanced Continuum Plasticity

Gradient-Enhanced Continuum Plasticity provides an expansive review of gradient-enhanced continuum plasticity from the initial stage to current research trends in experimental, theoretical, computational and numerical investigations. Starting with an overview of continuum mechanics and classical plasticity, the book then delves into concise lessons covering basic principles and applications, such as outlining the use of the finite element method to solve problems with size effects, mesh sensitivity and high velocity impact loading. All major theories are explored, providing readers with a

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Classical Continuum Mechanics

Classical Continuum Mechanics
  • Author : Karan S. Surana
  • Publisher : CRC Press
  • Release : 23 December 2021
GET THIS BOOKClassical Continuum Mechanics

This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and

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Local and Nonlocal Micromechanics of Heterogeneous Materials

Local and Nonlocal Micromechanics of Heterogeneous Materials
  • Author : Valeriy A. Buryachenko
  • Publisher : Springer Nature
  • Release : 16 November 2021
GET THIS BOOKLocal and Nonlocal Micromechanics of Heterogeneous Materials

This book presents the micromechanics of random structure heterogeneous materials, a multidisciplinary research area that has experienced a revolutionary renascence at the overlap of various branches of materials science, mechanical engineering, applied mathematics, technical physics, geophysics, and biology. It demonstrates intriguing successes of unified rigorous theoretical methods of applied mathematics and statistical physics in material science of microheterogeneous media. The prediction of the behaviour of heterogeneous materials by the use of properties of constituents and their microstructure is a central

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Cyclic Plasticity of Metals

Cyclic Plasticity of Metals
  • Author : Hamid Jahed,Ali A. Roostaei
  • Publisher : Elsevier
  • Release : 11 November 2021
GET THIS BOOKCyclic Plasticity of Metals

Cyclic Plasticity of Metals: Modeling Fundamentals and Applications provides an exhaustive overview of the fundamentals and applications of various cyclic plasticity models including forming and spring back, notch analysis, fatigue life prediction, and more. Covering metals with an array of different structures, such as hexagonal close packed (HCP), face centered cubic (FCC), and body centered cubic (BCC), the book starts with an introduction to experimental macroscopic and microscopic observations of cyclic plasticity and then segues into a discussion of the

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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

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Size-Dependent Continuum Mechanics Approaches

Size-Dependent Continuum Mechanics Approaches
  • Author : Esmaeal Ghavanloo,S. Ahmad Fazelzadeh,Francesco Marotti de Sciarra
  • Publisher : Springer Nature
  • Release : 02 April 2021
GET THIS BOOKSize-Dependent Continuum Mechanics Approaches

This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen’s nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners

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Crystal Plasticity Finite Element Methods

Crystal Plasticity Finite Element Methods
  • Author : Franz Roters,Philip Eisenlohr,Thomas R. Bieler,Dierk Raabe
  • Publisher : John Wiley & Sons
  • Release : 04 August 2011
GET THIS BOOKCrystal Plasticity Finite Element Methods

Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend

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Strain Gradient Plasticity-Based Modeling of Damage and Fracture

Strain Gradient Plasticity-Based Modeling of Damage and Fracture
  • Author : Emilio Martínez Pañeda
  • Publisher : Springer
  • Release : 23 August 2017
GET THIS BOOKStrain Gradient Plasticity-Based Modeling of Damage and Fracture

This book provides a comprehensive introduction to numerical modeling of size effects in metal plasticity. The main classes of strain gradient plasticity formulations are described and efficiently implemented in the context of the finite element method. A robust numerical framework is presented and employed to investigate the role of strain gradients on structural integrity assessment. The results obtained reveal the need of incorporating the influence on geometrically necessary dislocations in the modeling of various damage mechanisms. Large gradients of plastic

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Plasticity

Plasticity
  • Author : Ronaldo I. Borja
  • Publisher : Springer Science & Business Media
  • Release : 14 June 2013
GET THIS BOOKPlasticity

There have been many excellent books written on the subject of plastic deformation in solids, but rarely can one find a textbook on this subject. “Plasticity Modeling & Computation” is a textbook written specifically for students who want to learn the theoretical, mathematical, and computational aspects of inelastic deformation in solids. It adopts a simple narrative style that is not mathematically overbearing, and has been written to emulate a professor giving a lecture on this subject inside a classroom. Each section

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Handbook of Micromechanics and Nanomechanics

Handbook of Micromechanics and Nanomechanics
  • Author : Shaofan Li,Xin-Lin Gao
  • Publisher : CRC Press
  • Release : 19 April 2016
GET THIS BOOKHandbook of Micromechanics and Nanomechanics

This book presents the latest developments and applications of micromechanics and nanomechanics. It particularly focuses on some recent applications and impact areas of micromechanics and nanomechanics that have not been discussed in traditional micromechanics and nanomechanics books on metamaterials, micromechanics of ferroelectric/piezoelectric, electromagnetic materials, micromechanics of interface, size effects and strain gradient theories, computational and experimental nanomechanics, multiscale simulations and theories, soft matter composites, and computational homogenization theory. This book covers analytical, experimental, as well as computational and numerical

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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 : 19 April 2010
GET THIS BOOKThe Mechanics and Thermodynamics of Continua

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

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Inelastic Analysis of Structures

Inelastic Analysis of Structures
  • Author : Milan Jirasek,Zdenek P. Bazant
  • Publisher : John Wiley & Sons
  • Release : 21 December 2001
GET THIS BOOKInelastic Analysis of Structures

The modeling of mechanical properties of materials and structures is a complex and wide-ranging subject. In some applications, it is sufficient to assume that the material remains elastic, i.e. that the deformation process is fully reversible and the stress is a unique function of strain. However, such a simplified assumption is appropriate only within a limited range, and in general must be replaced by a more realistic approach that takes into account the inelastic processes such as plastic yielding

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Dislocation Mechanism-Based Crystal Plasticity

Dislocation Mechanism-Based Crystal Plasticity
  • Author : Zhuo Zhuang,Zhanli Liu,Yinan Cui
  • Publisher : Academic Press
  • Release : 12 April 2019
GET THIS BOOKDislocation Mechanism-Based Crystal Plasticity

Dislocation Based Crystal Plasticity: Theory and Computation at Micron and Submicron Scale provides a comprehensive introduction to the continuum and discreteness dislocation mechanism-based theories and computational methods of crystal plasticity at the micron and submicron scale. Sections cover the fundamental concept of conventional crystal plasticity theory at the macro-scale without size effect, strain gradient crystal plasticity theory based on Taylar law dislocation, mechanism at the mesoscale, phase-field theory of crystal plasticity, computation at the submicron scale, including single crystal plasticity

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