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Gradient-Enhanced Continuum Plasticity

Gradient-Enhanced Continuum Plasticity
  • Author : George Z. Voyiadjis,Yooseob Song
  • Publisher :Unknown
  • Release Date :2020-04-06
  • Total pages :400
  • ISBN : 0128177667
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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 :Unknown
  • Release Date :2020-03-27
  • Total pages :404
  • ISBN : 9780128177679
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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

Size-Dependent Continuum Mechanics Approaches

Size-Dependent Continuum Mechanics Approaches
  • Author : Esmaeal Ghavanloo
  • Publisher :Unknown
  • Release Date :2021
  • Total pages :229
  • ISBN : 9783030630508
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Summary :

Handbook of Micromechanics and Nanomechanics

Handbook of Micromechanics and Nanomechanics
  • Author : Shaofan Li,Xin-Lin Gao
  • Publisher :Unknown
  • Release Date :2013-04-08
  • Total pages :1264
  • ISBN : 9789814411233
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Summary : 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.

Size Effects in Plasticity

Size Effects in Plasticity
  • Author : George Voyiadjis,Mohammadreza Yaghoobi
  • Publisher :Unknown
  • Release Date :2019-08-01
  • Total pages :408
  • ISBN : 9780128135136
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Summary : 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

Basics of Continuum Plasticity

Basics of Continuum Plasticity
  • Author : Kwansoo Chung,Myoung-Gyu Lee
  • Publisher :Unknown
  • Release Date :2018-05-02
  • Total pages :360
  • ISBN : 9789811083068
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Summary : This book describes the basic principles of plasticity for students and engineers who wish to perform plasticity analyses in their professional lives, and provides an introduction to the application of plasticity theories and basic continuum mechanics in metal forming processes. This book consists of three parts. The first part deals with the characteristics of plasticity and instability under simple tension or compression and plasticity in beam bending and torsion. The second part is designed to provide the basic principles of continuum mechanics, and the last part presents an extension of one-dimensional plasticity to general three-dimensional laws based on the fundamentals of continuum mechanics. Though most parts of the book are written in the context of general plasticity, the last two chapters are specifically devoted to sheet metal forming applications. The homework problems included are designed to reinforce understanding of the concepts involved. This book may be used as a textbook for a one semester course lasting fourteen weeks or longer. This book is intended to be self-sufficient such that readers can study it independently without taking another formal course. However, there are some prerequisites before starting this book, which include a course on engineering mathematics and an introductory course on solid mechanics.

Strain Gradient Plasticity-Based Modeling of Damage and Fracture

Strain Gradient Plasticity-Based Modeling of Damage and Fracture
  • Author : Emilio Martínez Pañeda
  • Publisher :Unknown
  • Release Date :2017-08-23
  • Total pages :159
  • ISBN : 9783319633848
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Summary : 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.

Computational Modelling of Concrete Structures

Computational Modelling of Concrete Structures
  • Author : Gunther Meschke,René de Borst,Herbert Mang,Nenad Bicanic
  • Publisher :Unknown
  • Release Date :2020-11-25
  • Total pages :12
  • ISBN : 9781000116144
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Summary : 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.

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

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
  • Publisher :Unknown
  • Release Date :2013-04-17
  • Total pages :434
  • ISBN : 9789401704830
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Summary : 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.

Shear Localization in Granular Bodies with Micro-Polar Hypoplasticity

Shear Localization in Granular Bodies with Micro-Polar Hypoplasticity
  • Author : J. Tejchman
  • Publisher :Unknown
  • Release Date :2008-09-27
  • Total pages :317
  • ISBN : 9783540705550
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Summary : 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............................

Computational Methods for Fracture

Computational Methods for Fracture
  • Author : Timon Rabczuk
  • Publisher :Unknown
  • Release Date :2019-10-28
  • Total pages :404
  • ISBN : 9783039216864
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Summary : 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.

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

Numerically Efficient Gradient Crystal Plasticity with a Grain Boundary Yield Criterion and Dislocation-based Work-Hardening
  • Author : Wulfinghoff, Stephan
  • Publisher :Unknown
  • Release Date :2014-12-10
  • Total pages :290
  • ISBN : 9783731502456
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Summary :

Continuum Damage Mechanics and Numerical Applications

Continuum Damage Mechanics and Numerical Applications
  • Author : Wohua Zhang,Yuanqiang Cai
  • Publisher :Unknown
  • Release Date :2010-11-19
  • Total pages :1000
  • ISBN : 9783642047084
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Summary : "Continuum Damage Mechanics and Numerical Applications" presents a systematic development of the theory of Continuum Damage Mechanics and its numerical engineering applications using a unified form of the mathematical formulations in anisotropic and isotropic damage models. The theoretical framework is based on the thermodynamic theory of energy and material dissipation and is described by a set of fundamental formulations of constitutive equations of damaged materials, development equations of the damaged state, and evolution equations of micro-structures. According to concepts of damage-dissipation of the material state and effective evolution of material properties, all these advanced equations, which take nonsymmetrized effects of damage aspects into account, are developed and modified from the traditional general failure models so they are more easily applied and verified in a wide range of engineering practices by experimental testing. Dr. Wohua Zhang is a Professor at Engineering Mechanics Research Center in Zhejiang University of China. Dr. Yuanqiang Cai is a Professor at Department of Civil Engineering in Zhejiang University of China.

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

Finite element simulation of dislocation based plasticity and diffusion in multiphase materials at high temperature
  • Author : Albiez, Jürgen
  • Publisher :Unknown
  • Release Date :2019-05-22
  • Total pages :222
  • ISBN : 9783731509189
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Summary :

Advances in Extended and Multifield Theories for Continua

Advances in Extended and Multifield Theories for Continua
  • Author : Bernd Markert
  • Publisher :Unknown
  • Release Date :2011-07-15
  • Total pages :221
  • ISBN : 9783642227387
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Summary : 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.

Higher Gradient Materials and Related Generalized Continua

Higher Gradient Materials and Related Generalized Continua
  • Author : Holm Altenbach,Wolfgang H. Müller,Bilen Emek Abali
  • Publisher :Unknown
  • Release Date :2019-11-04
  • Total pages :231
  • ISBN : 9783030304065
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Summary : This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as: • The structural size is very small. • The microstructure is complex. • The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.

Dislocation Mechanism-Based Crystal Plasticity

Dislocation Mechanism-Based Crystal Plasticity
  • Author : Zhuo Zhuang,Zhanli Liu,Yinan Cui
  • Publisher :Unknown
  • Release Date :2019-04-12
  • Total pages :450
  • ISBN : 9780128145920
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Summary : 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

Modelling of Cohesive-Frictional Materials

Modelling of Cohesive-Frictional Materials
  • Author : P.A. Vermeer,W. Ehlers,H.J. Hermann,E. Ramm
  • Publisher :Unknown
  • Release Date :2007-07-05
  • Total pages :460
  • ISBN : 9781482259919
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Summary : 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

Constitutive Modelling of Solid Continua

Constitutive Modelling of Solid Continua
  • Author : José Merodio,Raymond Ogden
  • Publisher :Unknown
  • Release Date :2019-11-14
  • Total pages :389
  • ISBN : 9783030315474
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Summary : This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.

Direct Methods

Direct Methods
  • Author : Aurora Angela Pisano,Konstantinos Vassilios Spiliopoulos,Dieter Weichert
  • Publisher :Unknown
  • Release Date :2020-07-16
  • Total pages :247
  • ISBN : 9783030488345
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Summary : This book provides an overview of direct methods such as limit and shakedown analysis, which are intended to do away with the need for cumbersome step-by-step calculations and determine the loading limits of mechanical structures under monotone, cyclic or variable loading with unknown loading history. The respective contributions demonstrate how tremendous advances in numerical methods, especially in optimization, have contributed to the success of direct methods and their practical applicability to engineering problems in structural mechanics, pavement and general soil mechanics, as well as the design of composite materials. The content reflects the outcomes of the workshop “Direct Methods: Methodological Progress and Engineering Applications,” which was offered as a mini-symposium of PCM-CMM 2019, held in Cracow, Poland in September 2019.

Computational Modelling of Concrete Structures

Computational Modelling of Concrete Structures
  • Author : Nenad Bicanic,René Borst,Herbert Mang,Gunther Meschke
  • Publisher :Unknown
  • Release Date :2010-02-24
  • Total pages :836
  • ISBN : 9780203848333
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Summary : Since 1984 the EURO-C conference series (Split 1984, Zell am See 1990, Innsbruck 1994, Badgastein 1998, St Johann im Pongau 2003, Mayrhofen 2006, Schladming 2010) has provided a forum for academic discussion of the latest theoretical, algorithmic and modelling developments associated with computational simulations of concrete and concrete structure