# Gradient Enhanced Continuum Plasticity

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## Gradient Enhanced Continuum Plasticity

Author | : George Z. Voyiadjis,Yooseob Song |

Publsiher | : Elsevier |

Total Pages | : 400 |

Release | : 2020-04-06 |

ISBN 10 | : 9780128177662 |

ISBN 13 | : 0128177667 |

Language | : EN, FR, DE, ES & NL |

**Gradient Enhanced Continuum Plasticity Book Review:**

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

Author | : George Z. Voyiadjis,Yooseob Song |

Publsiher | : Elsevier |

Total Pages | : 404 |

Release | : 2020-03-27 |

ISBN 10 | : 0128177675 |

ISBN 13 | : 9780128177679 |

Language | : EN, FR, DE, ES & NL |

**Gradient Enhanced Continuum Plasticity Book Review:**

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

## Classical Continuum Mechanics

Author | : Karan S. Surana |

Publsiher | : CRC Press |

Total Pages | : 532 |

Release | : 2021-12-23 |

ISBN 10 | : 1000512347 |

ISBN 13 | : 9781000512342 |

Language | : EN, FR, DE, ES & NL |

**Classical Continuum Mechanics Book Review:**

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 objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua. Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics. This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.

## Size Dependent Continuum Mechanics Approaches

Author | : Esmaeal Ghavanloo,S. Ahmad Fazelzadeh,Francesco Marotti de Sciarra |

Publsiher | : Springer Nature |

Total Pages | : 452 |

Release | : 2021-04-02 |

ISBN 10 | : 3030630501 |

ISBN 13 | : 9783030630508 |

Language | : EN, FR, DE, ES & NL |

**Size Dependent Continuum Mechanics Approaches Book Review:**

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 with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.

## Handbook of Micromechanics and Nanomechanics

Author | : Shaofan Li,Xin-Lin Gao |

Publsiher | : CRC Press |

Total Pages | : 1264 |

Release | : 2016-04-19 |

ISBN 10 | : 9814411248 |

ISBN 13 | : 9789814411240 |

Language | : EN, FR, DE, ES & NL |

**Handbook of Micromechanics and Nanomechanics Book Review:**

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 approaches in depth.

## Local and Nonlocal Micromechanics of Heterogeneous Materials

Author | : Valeriy A. Buryachenko |

Publsiher | : Springer Nature |

Total Pages | : 999 |

Release | : 2021-11-16 |

ISBN 10 | : 3030817849 |

ISBN 13 | : 9783030817848 |

Language | : EN, FR, DE, ES & NL |

**Local and Nonlocal Micromechanics of Heterogeneous Materials Book Review:**

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 problem of micromechanics. This book is the first in micromechanics where a successful effort of systematic and fundamental research of the microstructure of the wide class of heterogeneous materials of natural and synthetic nature is attempted. The uniqueness of the book lies in its development and expressive representation of statistical methods quantitatively describing random structures which are at most adopted for the forthcoming evaluation of a wide variety of macroscopic transport, electromagnetic, strength, and elastoplastic properties of heterogeneous materials.

## Size Effects in Plasticity

Author | : George Voyiadjis,Mohammadreza Yaghoobi |

Publsiher | : Academic Press |

Total Pages | : 408 |

Release | : 2019-08-01 |

ISBN 10 | : 0128135131 |

ISBN 13 | : 9780128135136 |

Language | : EN, FR, DE, ES & NL |

**Size Effects in Plasticity Book Review:**

Size Effects in Plasticity: From Macro to Nano provides concise explanations of all available methods in this area, from atomistic simulation, to non-local continuum models to capture size effects. It then compares their applicability to a wide range of research scenarios. This essential guide addresses basic principles, numerical issues and computation, applications and provides code which readers can use in their own modeling projects. Researchers in the fields of computational mechanics, materials science and engineering will find this to be an ideal resource when they address the size effects observed in deformation mechanisms and strengths of various materials. Provides a comprehensive reference on the field of size effects and a review of mechanics of materials research in all scales Explains all major methods of size effects simulation, including non-local continuum models, non-local crystal plasticity, discrete dislocation methods and molecular dynamics Includes source codes that readers can use in their own projects

## Computational Modelling of Concrete Structures

Author | : Gunther Meschke,René de Borst,Herbert Mang,Nenad Bicanic |

Publsiher | : CRC Press |

Total Pages | : 12 |

Release | : 2006-03-16 |

ISBN 10 | : 9780415397490 |

ISBN 13 | : 0415397499 |

Language | : EN, FR, DE, ES & NL |

**Computational Modelling of Concrete Structures Book Review:**

This conference proceedings brings together the work of researchers and practising engineers concerned with computational modelling of complex concrete, reinforced concrete and prestressed concrete structures in engineering practice. The subjects considered include computational mechanics of concrete and other cementitious materials, including masonry. Advanced discretisation methods and microstructural aspects within multi-field and multi-scale settings are discussed, as well as modelling formulations and constitutive modelling frameworks and novel experimental programmes. The conference also considered the need for reliable, high-quality analysis and design of concrete structures in regard to safety-critical structures, with a view to adopting these in codes of practice or recommendations. The book is of special interest to researchers in computational mechanics, and industry experts in complex nonlinear simulations of concrete structures.

## Strain Gradient Plasticity Based Modeling of Damage and Fracture

Author | : Emilio Martínez Pañeda |

Publsiher | : Springer |

Total Pages | : 159 |

Release | : 2017-08-23 |

ISBN 10 | : 3319633848 |

ISBN 13 | : 9783319633848 |

Language | : EN, FR, DE, ES & NL |

**Strain Gradient Plasticity Based Modeling of Damage and Fracture Book Review:**

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 strain increase dislocation density, promoting strain hardening and elevating crack tip stresses. This stress elevation is quantified under both infinitesimal and finite deformation theories, rationalizing the experimental observation of cleavage fracture in the presence of significant plastic flow. Gradient-enhanced modeling of crack growth resistance, hydrogen diffusion and environmentally assisted cracking highlighted the relevance of an appropriate characterization of the mechanical response at the small scales involved in crack tip deformation. Particularly promising predictions are attained in the field of hydrogen embrittlement. The research has been conducted at the Universities of Cambridge, Oviedo, Luxembourg, and the Technical University of Denmark, in a collaborative effort to understand, model and optimize the mechanical response of engineering materials.

## Crystal Plasticity Finite Element Methods

Author | : Franz Roters,Philip Eisenlohr,Thomas R. Bieler,Dierk Raabe |

Publsiher | : John Wiley & Sons |

Total Pages | : 208 |

Release | : 2011-08-04 |

ISBN 10 | : 3527642099 |

ISBN 13 | : 9783527642090 |

Language | : EN, FR, DE, ES & NL |

**Crystal Plasticity Finite Element Methods Book Review:**

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 its outreach.

## IUTAM Symposium on Multiscale Modeling and Characterization of Elastic Inelastic Behavior of Engineering Materials

Author | : S. Ahzi,M. Cherkaoui,M.A. Khaleel,H.M. Zbib,M.A. Zikry,B. LaMatina |

Publsiher | : Springer Science & Business Media |

Total Pages | : 434 |

Release | : 2013-04-17 |

ISBN 10 | : 940170483X |

ISBN 13 | : 9789401704830 |

Language | : EN, FR, DE, ES & NL |

**IUTAM Symposium on Multiscale Modeling and Characterization of Elastic Inelastic Behavior of Engineering Materials Book Review:**

The papers in this proceeding are a collection of the works presented at the IUTAM symposium-Marrakech 2002 (October 20-25) which brought together scientists from various countries. These papers cover contemporary topics in multiscale modeling and characterization of materials behavior of engineering materials. They were selected to focus on topics related to deformation and failure in metals, alloys, intermetallics and polymers including: experimental techniques, deformation and failure mechanisms, dislocation-based modelling, microscopic-macroscopic averaging schemes, application to forming processes and to phase transformation, localization and failure phenomena, and computational advances. Key areas that are covered by some of the papers include modeling of material deformation at various scales. At the atomistic scale, results from MD simulations pertaining to deformation mechanisms in nano-crystalline materials as well as dislocation-defect interactions are presented. Advances in modeling of deformation in metals using discrete dislocation analyses are also presented, providing an insight into this emerging scientific technique that can be used to model deformation at the microscale. These papers address current engineering problems, including deformation of thin fIlms, dislocation behavior and strength during nanoindentation, strength in metal matrix composites, dislocation-crack interaction, development of textures in polycrystals, and problems involving twining and shape memory behavior. On Behalf of the organizing committee, I would like to thank Professor P.

## Computational Methods for Fracture

Author | : Timon Rabczuk |

Publsiher | : MDPI |

Total Pages | : 404 |

Release | : 2019-10-28 |

ISBN 10 | : 3039216864 |

ISBN 13 | : 9783039216864 |

Language | : EN, FR, DE, ES & NL |

**Computational Methods for Fracture Book Review:**

This book offers a collection of 17 scientific papers about the computational modeling of fracture. Some of the manuscripts propose new computational methods and/or how to improve existing cutting edge methods for fracture. These contributions can be classified into two categories: 1. Methods which treat the crack as strong discontinuity such as peridynamics, scaled boundary elements or specific versions of the smoothed finite element methods applied to fracture and 2. Continuous approaches to fracture based on, for instance, phase field models or continuum damage mechanics. On the other hand, the book also offers a wide range of applications where state-of-the-art techniques are employed to solve challenging engineering problems such as fractures in rock, glass, concrete. Also, larger systems such as fracture in subway stations due to fire, arch dams, or concrete decks are studied.

## Shear Localization in Granular Bodies with Micro Polar Hypoplasticity

Author | : J. Tejchman |

Publsiher | : Springer Science & Business Media |

Total Pages | : 317 |

Release | : 2008-09-27 |

ISBN 10 | : 3540705554 |

ISBN 13 | : 9783540705550 |

Language | : EN, FR, DE, ES & NL |

**Shear Localization in Granular Bodies with Micro Polar Hypoplasticity Book Review:**

This book includes a numerical investigation of shear localization in granular materials within micro-polar hypoplasticity, which was carried out during my long research stay at the Institute of Soil and Rock Mechanics at Karlsruhe University from 1985 to 1996. I dedicate my book to Prof. Gerd Gudehus from Germany, the former head of the Institute of Rock and Soil Mechanics at Karlsruhe University and the supervisor of my scientific research during my stay in Karlsruhe, who encouraged me to deal with shear localization in granular bodies within micro-polar hypoplasticity. I greatly - preciate his profound knowledge, kind help constructive discussions, and collegial attitude to his co-workers. I am thankful to the both series editors: Prof. Wei Wu from Universität für Bodenkultur in Austria and Prof. Ronaldo Borja from Stanford University in USA for their helpful suggestions with respect to the contents and structure of the book. I am also grateful to Dr. Thomas Ditzinger and Mrs. Heather King from the Springer Publishing Company and SPS data processing team for their help in editing this book. Gdansk, Jacek Tejchman June 2008 Contents 1 Introduction......................................................................... 1 2 Literature Overview on Experiments........................................... 11 3 Theoretical Model.................................................................. 47 3.1 Hypoplastic Constitutive Model............................................. 47 3.2 Calibration of Hypoplastic Material Parameters........................... 60 3.3 Micro-polar Continuum........................................................ 67 3.4 Micro-polar Hypoplastic Constitutive Model.............................. 72 3.5 Finite Element Implementation................................................ 75 4 Finite Element Calculations: Preliminary Results............................

## Continuum Mechanics and Plasticity

Author | : Han-Chin Wu |

Publsiher | : CRC Press |

Total Pages | : 704 |

Release | : 2004-12-20 |

ISBN 10 | : 1135440395 |

ISBN 13 | : 9781135440398 |

Language | : EN, FR, DE, ES & NL |

**Continuum Mechanics and Plasticity Book Review:**

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 the experimental aspects of plasticity and material anisotropy. Integrating the traditionally separate subjects of continuum mechanics and plasticity, this book builds understanding in all of those areas. Part I provides systematic, comprehensive coverage of continuum mechanics, from a review of Carteisian tensors to the relevant conservation laws and constitutive equation. Part II offers an exhaustive presentation of the continuum theory of plasticity. This includes a unique treatment of the experimental aspects of plasticity, covers anisotropic plasticity, and incorporates recent research results related to the endochronic theory of plasticity obtained by the author and his colleagues. By bringing all of these together in one book, Continuum Mechanics and Plasticity facilitates the learning of solid mechanics. Its readers will be well prepared for pursuing either research related to the mechanical behavior of engineering materials or developmental work in engineering analysis and design.

## Numerically Efficient Gradient Crystal Plasticity with a Grain Boundary Yield Criterion and Dislocation based Work Hardening

Author | : Wulfinghoff, Stephan |

Publsiher | : KIT Scientific Publishing |

Total Pages | : 290 |

Release | : 2014-12-10 |

ISBN 10 | : 3731502453 |

ISBN 13 | : 9783731502456 |

Language | : EN, FR, DE, ES & NL |

**Numerically Efficient Gradient Crystal Plasticity with a Grain Boundary Yield Criterion and Dislocation based Work Hardening Book Review:**

## Dislocation Mechanism Based Crystal Plasticity

Author | : Zhuo Zhuang,Zhanli Liu,Yinan Cui |

Publsiher | : Academic Press |

Total Pages | : 450 |

Release | : 2019-04-12 |

ISBN 10 | : 0128145927 |

ISBN 13 | : 9780128145920 |

Language | : EN, FR, DE, ES & NL |

**Dislocation Mechanism Based Crystal Plasticity Book Review:**

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 theory, and the discrete-continuous model of crystal plasticity with three-dimensional discrete dislocation dynamics coupling finite element method (DDD-FEM). Three kinds of plastic deformation mechanisms for submicron pillars are systematically presented. Further sections discuss dislocation nucleation and starvation at high strain rate and temperature effect for dislocation annihilation mechanism. Covers dislocation mechanism-based crystal plasticity theory and computation at the micron and submicron scale Presents crystal plasticity theory without size effect Deals with the 3D discrete-continuous (3D DCM) theoretic and computational model of crystal plasticity with 3D discrete dislocation dynamics (3D DDD) coupling finite element method (FEM) Includes discrete dislocation mechanism-based theory and computation at the submicron scale with single arm source, coating micropillar, lower cyclic loading pillars, and dislocation starvation at the submicron scale

## Finite element simulation of dislocation based plasticity and diffusion in multiphase materials at high temperature

Author | : Albiez, Jürgen |

Publsiher | : KIT Scientific Publishing |

Total Pages | : 222 |

Release | : 2019-05-22 |

ISBN 10 | : 3731509180 |

ISBN 13 | : 9783731509189 |

Language | : EN, FR, DE, ES & NL |

**Finite element simulation of dislocation based plasticity and diffusion in multiphase materials at high temperature Book Review:**

## Advances in Extended and Multifield Theories for Continua

Author | : Bernd Markert |

Publsiher | : Springer Science & Business Media |

Total Pages | : 221 |

Release | : 2011-07-15 |

ISBN 10 | : 3642227384 |

ISBN 13 | : 9783642227387 |

Language | : EN, FR, DE, ES & NL |

**Advances in Extended and Multifield Theories for Continua Book Review:**

Modern computational techniques, such as the Finite Element Method, have, since their development several decades ago, successfully exploited continuum theories for numerous applications in science and technology. Although standard continuum methods based upon the Cauchy-Boltzmann continuum are still of great importance and are widely used, it increasingly appears that material properties stemming from microstructural phenomena have to be considered. This is particularly true for inhomogeneous load and deformation states, where lower-scale size effects begin to affect the macroscopic material response; something standard continuum theories fail to account for. Following this idea, it is evident that standard continuum mechanics has to be augmented to capture lower-scale structural and compositional phenomena, and to make this information accessible to macroscopic numerical simulations.

## The Mechanics and Thermodynamics of Continua

Author | : Morton E. Gurtin,Eliot Fried,Lallit Anand |

Publsiher | : Cambridge University Press |

Total Pages | : 135 |

Release | : 2010-04-19 |

ISBN 10 | : 1139482157 |

ISBN 13 | : 9781139482158 |

Language | : EN, FR, DE, ES & NL |

**The Mechanics and Thermodynamics of Continua Book Review:**

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.

## Modelling of Cohesive Frictional Materials

Author | : P.A. Vermeer,W. Ehlers,H.J. Hermann,E. Ramm |

Publsiher | : CRC Press |

Total Pages | : 460 |

Release | : 2007-07-05 |

ISBN 10 | : 1482259915 |

ISBN 13 | : 9781482259919 |

Language | : EN, FR, DE, ES & NL |

**Modelling of Cohesive Frictional Materials Book Review:**

This progressive volume of lectures, written by leading experts on current developments in the field, is a must-read for engineers in physics, mechanics and engineering applications alike. Focusing on both continuous and discontinuous modelling, this topical symposium raises the issue of cohesive-frictional materials and the importance of understan