Enhanced Gradient Crystal-plasticity Study of Size Effects in B.C.C. Metal

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (835 download)

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Book Synopsis Enhanced Gradient Crystal-plasticity Study of Size Effects in B.C.C. Metal by : Murat Demiral

Download or read book Enhanced Gradient Crystal-plasticity Study of Size Effects in B.C.C. Metal written by Murat Demiral and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Owing to continuous miniaturization, many modern high-technology applications such as medical and optical devices, thermal barrier coatings, electronics, micro- and nano-electro mechanical systems (MEMS and NEMS), gems industry and semiconductors increasingly use components with sizes down to a few micrometers and even smaller. Understanding their deformation mechanisms and assessing their mechanical performance help to achieve new insights or design new material systems with superior properties through controlled microstructure at the appropriate scales. However, a fundamental understanding of mechanical response in surface-dominated structures, different than their bulk behaviours, is still elusive. In this thesis, the size effect in a single-crystal Ti alloy (Ti15V3Cr3Al3Sn) is investigated. To achieve this, nanoindentation and micropillar (with a square cross-section) compression tests were carried out in collaboration with Swiss Federal Laboratories for Materials Testing and Research (EMPA), Switzerland. Three-dimensional finite element models of compression and indentation with an implicit time-integration scheme incorporating a strain-gradient crystal-plasticity (SGCP) theory were developed to accurately represent deformation of the studied body-centered cubic metallic material. An appropriate hardening model was implemented to account for strain-hardening of the active slip systems, determined experimentally. The optimized set of parameters characterizing the deformation behaviour of Ti alloy was obtained based on a direct comparison of simulations and the experiments. An enhanced model based on the SGCP theory (EMSGCP), accounting for an initial microstructure of samples in terms of different types of dislocations (statistically stored and geometrically necessary dislocations), was suggested and used in the numerical analysis. This meso-scale continuum theory bridges the gap between the discrete-dislocation dynamics theory, where simulations are performed at strain rates several orders of magnitude higher than those in experiments, and the classical continuum-plasticity theory, which cannot explain the dependence of mechanical response on a specimen s size since there is no length scale in its constitutive description. A case study was performed using a cylindrical pillar to examine, on the one hand, accuracy of the proposed EMSGCP theory and, on the other hand, its universality for different pillar geometries. An extensive numerical study of the size effect in micron-size pillars was also implemented. On the other hand, an anisotropic character of surface topographies around indents along different crystallographic orientations of single crystals obtained in numerical simulations was compared to experimental findings. The size effect in nano-indentation was studied numerically. The differences in the observed hardness values for various indenter types were investigated using the developed EMSGCP theory.

Gradient-Enhanced Continuum Plasticity

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Publisher : Elsevier
ISBN 13 : 0128177675
Total Pages : 405 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Gradient-Enhanced Continuum Plasticity by : George Z. Voyiadjis

Download or read book Gradient-Enhanced Continuum Plasticity written by George Z. Voyiadjis and published by Elsevier. This book was released on 2020-03-27 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Recent Advancements in the Metallurgical Engineering and Electrodeposition

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Publisher : BoD – Books on Demand
ISBN 13 : 1789846862
Total Pages : 204 pages
Book Rating : 4.7/5 (898 download)

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Book Synopsis Recent Advancements in the Metallurgical Engineering and Electrodeposition by : Uday Basheer Al-Naib

Download or read book Recent Advancements in the Metallurgical Engineering and Electrodeposition written by Uday Basheer Al-Naib and published by BoD – Books on Demand. This book was released on 2020-04-08 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metallurgy is a field of material science and engineering that studies the chemical and physical behavior of metallic elements, intermetallic compounds, and their mixtures, which are called alloys. These metals are widely used in this kind of engineering because they have unique combinations of mechanical properties (strength, toughness, and ductility) as well as special physical characteristics (thermal and electrical conductivity), which cannot be achieved with other materials. In addition to thousands of traditional alloys, many exciting new materials are under development for modern engineering applications. Metallurgical engineering is an area concerned extracting minerals from raw materials and developing, producing, and using mineral materials. It is based on the principles of science and engineering, and can be divided into mining processes, which are concerned with the extraction of metals from their ores to make refined alloys, and physical metallurgy, which includes the fabrication, alloying, heat treatment, joining and welding, corrosion protection, and different testing methods of metals. Conventional metal forming/shaping techniques include casting and forging, which remains an important processing route. Electrodeposition is one of the most used methods for metal and metallic alloy film preparation in many technological processes. Alloy metal coatings offer a wider range of properties than those obtained by a single metal film and can be applied to improve the properties of the substrate/coating system. This book covers a wide range of topics related to recent advancements in metallurgical engineering and electrodeposition such as metallurgy forming, structure, microstructure properties, testing and characterizations, and electrodeposition techniques. It also highlights the progress of metallurgical engineering, the ferrous and non-ferrous materials industries, and the electrodeposition of nanomaterials and composites.

Mechanics of Advanced Materials

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Publisher : Springer
ISBN 13 : 3319171186
Total Pages : 205 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Mechanics of Advanced Materials by : Vadim V. Silberschmidt

Download or read book Mechanics of Advanced Materials written by Vadim V. Silberschmidt and published by Springer. This book was released on 2015-04-09 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents interesting examples of recent developments in this area. Among the studied materials are bulk metallic glasses, metamaterials, special composites, piezoelectric smart structures, nonwovens, etc. The last decades have seen a large extension of types of materials employed in various applications. In many cases these materials demonstrate mechanical properties and performance that vary significantly from those of their traditional counterparts. Such uniqueness is sought – or even specially manufactured – to meet increased requirements on modern components and structures related to their specific use. As a result, mechanical behaviors of these materials under different loading and environmental conditions are outside the boundaries of traditional mechanics of materials, presupposing development of new characterization techniques, theoretical descriptions and numerical tools. The book presents interesting examples of recent developments in this area. Among the studied materials are bulk metallic glasses, metamaterials, special composites, piezoelectric smart structures, nonwovens, etc.

Crystal Plasticity Finite Element Methods

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Publisher : John Wiley & Sons
ISBN 13 : 3527642099
Total Pages : 188 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Crystal Plasticity Finite Element Methods by : Franz Roters

Download or read book Crystal Plasticity Finite Element Methods written by Franz Roters and published by John Wiley & Sons. This book was released on 2011-08-04 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Nanoindentation in Advanced Materials

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Publisher : John Wiley & Sons
ISBN 13 : 1119084520
Total Pages : 708 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Applied Nanoindentation in Advanced Materials by : Atul Tiwari

Download or read book Applied Nanoindentation in Advanced Materials written by Atul Tiwari and published by John Wiley & Sons. This book was released on 2017-08-30 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in the area of nanoindentation has gained significant momentum in recent years, but there are very few books currently available which can educate researchers on the application aspects of this technique in various areas of materials science. Applied Nanoindentation in Advanced Materials addresses this need and is a comprehensive, self-contained reference covering applied aspects of nanoindentation in advanced materials. With contributions from leading researchers in the field, this book is divided into three parts. Part one covers innovations and analysis, and parts two and three examine the application and evaluation of soft and ceramic-like materials respectively. Key features: A one stop solution for scholars and researchers to learn applied aspects of nanoindentation Contains contributions from leading researchers in the field Includes the analysis of key properties that can be studied using the nanoindentation technique Covers recent innovations Includes worked examples Applied Nanoindentation in Advanced Materials is an ideal reference for researchers and practitioners working in the areas of nanotechnology and nanomechanics, and is also a useful source of information for graduate students in mechanical and materials engineering, and chemistry. This book also contains a wealth of information for scientists and engineers interested in mathematical modelling and simulations related to nanoindentation testing and analysis.

Strengthening Mechanisms in Crystal Plasticity

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Publisher : Oxford University Press on Demand
ISBN 13 : 0198516002
Total Pages : 425 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Strengthening Mechanisms in Crystal Plasticity by : Ali Argon

Download or read book Strengthening Mechanisms in Crystal Plasticity written by Ali Argon and published by Oxford University Press on Demand. This book was released on 2008 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technologically important metals and alloys have been strengthened throughout history by empirical means. The scientific bases of the central mechanisms of such forms of strengthening, developed over the past several decades are presented here through mechanistic models and associated experimental results.

Scale Effects in Crystal Plasticity

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (66 download)

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Book Synopsis Scale Effects in Crystal Plasticity by : Guruprasad Padubidri Janardhanachar

Download or read book Scale Effects in Crystal Plasticity written by Guruprasad Padubidri Janardhanachar and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this research work is to further the understanding of crystal plasticity, particularly at reduced structural and material length scales. Fundamental understanding of plasticity is central to various challenges facing design and manufacturing of materials for structural and electronic device applications. The development of microstructurally tailored advanced metallic materials with enhanced mechanical properties that can withstand extremes in stress, strain, and temperature, will aid in increasing the efficiency of power generating systems by allowing them to work at higher temperatures and pressures. High specific strength materials can lead to low fuel consumption in transport vehicles. Experiments have shown that enhanced mechanical properties can be obtained in materials by constraining their size, microstructure (e.g. grain size), or both for various applications. For the successful design of these materials, it is necessary to have a thorough understanding of the influence of different length scales and evolving microstructure on the overall behavior. In this study, distinction is made between the effect of structural and material length scale on the mechanical behavior of materials. A length scale associated with an underlying physical mechanism influencing the mechanical behavior can overlap with either structural length scales or material length scales. If it overlaps with structural length scales, then the material is said to be dimensionally constrained. On the other hand, if it overlaps with material length scales, for example grain size, then the material is said to be microstructurally constrained. The objectives of this research work are: (1) to investigate scale and size effects due to dimensional constraints; (2) to investigate size effects due to microstructural constraints; and (3) to develop a size dependent hardening model through coarse graining of dislocation dynamics. A discrete dislocation dynamics (DDD) framework where the scale of analysis is intermediate between a fully discretized (e.g. atomistic) and fully continuum is used for this study. This mesoscale tool allows to address all the stated objectives of this study within a single framework. Within this framework, the effect of structural and the material length scales are naturally accounted for in the simulations and need not be specified in an ad hoc manner, as in some continuum models. It holds the promise of connecting the evolution of the defect microstructure to the effective response of the crystal. Further, it provides useful information to develop physically motivated continuum models to model size effects in materials. The contributions of this study are: (a) provides a new interpretation of mechanical size effect due to only dimensional constraint using DDD; (b) a development of an experimentally validated DDD simulation methodology to model Cu micropillars; (c) a coarse graining technique using DDD to develop a phenomenological model to capture size effect on strain hardening; and (d) a development of a DDD framework for polycrystals to investigate grain size effect on yield strength and strain hardening.

Surface Effects in Crystal Plasticity

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (84 download)

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Book Synopsis Surface Effects in Crystal Plasticity by : R.M. Latanision

Download or read book Surface Effects in Crystal Plasticity written by R.M. Latanision and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surface Effects in Crystal Plasticity

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Publisher : Springer
ISBN 13 :
Total Pages : 972 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Surface Effects in Crystal Plasticity by : R.M. Latanision

Download or read book Surface Effects in Crystal Plasticity written by R.M. Latanision and published by Springer. This book was released on 1977-03-31 with total page 972 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Keats, writing to Fanny Brawne [1], said "I long to believe in immortality ••••• I wish to believe in immortality - I wish to live with you forever". So much of this talk will be concerned with the ductile behaviour of crystals, plasticity in its narrower sense. We shall consider a crystal which is deforming by slip, and shall expose a surface in this crystal. We first think of the sur face as a simple mathematical cut along a low-index plane. Then we allow for the relaxation of the newly-exposed atoms, and for surface irregularities, and we consider the effect of lattice va cancies which can enter at the surface. We consider the effect of dissolving off the surface layers, either intermittently or contin uously. Then the effects of adsorption or oxidation by normal con stituents of the atmosphere must be considered, the effects of sur face alloying, and finally those of special surface-active agents. But "All/Life death does end and each day dies with sleep" [2], and plasticity in its broader sense includes the fracture ~'1hich term inates flow. Here there is a bewildering array of effects. The medium in which the crystal flows may enhance its ductility enor mously, or it may cause it to break almost without plastic deform ation, or under a load which it has already supported.

Advanced Machining Processes

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Publisher : CRC Press
ISBN 13 : 1315305259
Total Pages : 271 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Advanced Machining Processes by : Angelos P. Markopoulos

Download or read book Advanced Machining Processes written by Angelos P. Markopoulos and published by CRC Press. This book was released on 2017-11-23 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and machining are two terms closely related. The benefits of the application of modeling on machining are well known. The advances in technology call for the use of more sophisticated machining methods for the production of high-end components. In turn, more complex, more suitable, and reliable modeling methods are required. This book pertains to machining and modeling, but focuses on the special aspects of both. Many researchers in academia and industry, who are looking for ways to refine their work, make it more detailed, increase their accuracy and reliability, or implement new features, will gain access to knowledge in this book that is very scare to find elsewhere.

Thermally Activated Mechanisms in Crystal Plasticity

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Publisher : Elsevier
ISBN 13 : 0080542786
Total Pages : 453 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Thermally Activated Mechanisms in Crystal Plasticity by : D. Caillard

Download or read book Thermally Activated Mechanisms in Crystal Plasticity written by D. Caillard and published by Elsevier. This book was released on 2003-09-08 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: KEY FEATURES: A unified, fundamental and quantitative resource. The result of 5 years of investigation from researchers around the world New data from a range of new techniques, including synchrotron radiation X-ray topography provide safer and surer methods of identifying deformation mechanisms Informing the future direction of research in intermediate and high temperature processes by providing original treatment of dislocation climb DESCRIPTION: Thermally Activated Mechanisms in Crystal Plasticity is a unified, quantitative and fundamental resource for material scientists investigating the strength of metallic materials of various structures at extreme temperatures. Crystal plasticity is usually controlled by a limited number of elementary dislocation mechanisms, even in complex structures. Those which determine dislocation mobility and how it changes under the influence of stress and temperature are of key importance for understanding and predicting the strength of materials. The authors describe in a consistent way a variety of thermally activated microscopic mechanisms of dislocation mobility in a range of crystals. The principles of the mechanisms and equations of dislocation motion are revisited and new ones are proposed. These describe mostly friction forces on dislocations such as the lattice resistance to glide or those due to sessile cores, as well as dislocation cross-slip and climb. They are critically assessed by comparison with the best available experimental results of microstructural characterization, in situ straining experiments under an electron or a synchrotron beam, as well as accurate transient mechanical tests such as stress relaxation experiments. Some recent attempts at atomistic modeling of dislocation cores under stress and temperature are also considered since they offer a complementary description of core transformations and associated energy barriers. In addition to offering guidance and assistance for further experimentation, the book indicates new ways to extend the body of data in particular areas such as lattice resistance to glide.

Predicting the Hall-petch Effect in FCC Metals Using Non-local Crystal Plasticity

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (144 download)

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Book Synopsis Predicting the Hall-petch Effect in FCC Metals Using Non-local Crystal Plasticity by : William A. Counts

Download or read book Predicting the Hall-petch Effect in FCC Metals Using Non-local Crystal Plasticity written by William A. Counts and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well documented that the mechanical response of polycrystalline metals depends on the metal's microstructure, for example the dependence of yield strength on grain size (Hall-Petch effect). Local continuum approaches do not address the sensitivity of deformation to microstructural features, and are therefore unable to capture much of the experimentally observed behavior of polycrystal deformation. In this work, a crystal plasticity model is developed that predicts a dependence of yield strength on grain size without grain size explicitly entering into the constitutive equations. The grain size dependence in the model is the result of non-local effects of geometrically necessary dislocations (GNDs), i.e. GNDs harden both the material at a point and the surrounding material. The conventional FeFp kinematics for single crystals have been augmented based on a geometric argument that accounts for the grain orientations in a polycrystal. The augmented kinematics allows an initial GND state at grain boundaries and an evolving GND state due to sub-grain formation within the grain to be determined in a consistent manner. Numerically, these non-local affects are captured using a non-local integral approach rather than a conventional gradient approach. The non-local crystal plasticity model is used to simulate the tensile behavior in copper polycrystals with grain sizes ranging from 14 to 244 micron. The simulation results show a grain size dependence on the polycrystal's yield strength, which are qualitatively in good agreement with the experimental data. However, the Hall-Petch exponent predicted by the simulations is more like d-1 rather than d-0.5. The effects of different simulation parameters including grain shape and misorientation distribution did not greatly affect the Hall-Petch exponent. The simulation results indicate that the Hall-Petch exponent is sensitive to the grain boundary strength: the Hall-Petch exponent decreases as grain boundary strength decreases. The intragrain misorientations predicted by the non-local model were compared with experiments on polycrystalline nickel. Experimentally, the intragrain misorientations were tracked by electron back scatter diffraction (EBSD) at various strain levels from the same location. On average, the simulation results predicted enough misorientation throughout the sample. However, the model did not correctly predict the spatial details of the intragrain misorientation.

Martensitic Transformation

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Publisher : Elsevier
ISBN 13 : 0323148816
Total Pages : 480 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Martensitic Transformation by : Zenji Nishiyama

Download or read book Martensitic Transformation written by Zenji Nishiyama and published by Elsevier. This book was released on 2012-12-02 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martensitic Transformation examines martensitic transformation based on the known crystallographical data. Topics covered range from the crystallography of martensite to the transformation temperature and rate of martensite formation. The conditions for martensite formation and stabilization of austenite are also discussed, along with the crystallographic theory of martensitic transformations. Comprised of six chapters, this book begins with an introduction to martensite and martensitic transformation, with emphasis on the basic properties of martensite in steels such as carbon steels. The next two chapters deal with the crystallography of martensite and discuss the martensitic transformation behavior of the second-order transition; lattice imperfections in martensite; and close-packed layer structures of martensites produced from ? phase in noble-metal-base alloys. Thermodynamical problems and kinetics are also analysed, together with conditions for the nucleation of martensite and problems concerning stabilization of austenite. The last chapter discusses the theory of the mechanism underlying martensitic transformation. This monograph will be of interest to metallurgists and materials scientists.

Size Effects in Crystal Plasticity

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Publisher :
ISBN 13 : 9788774753421
Total Pages : pages
Book Rating : 4.7/5 (534 download)

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Book Synopsis Size Effects in Crystal Plasticity by : Ulrik Borg

Download or read book Size Effects in Crystal Plasticity written by Ulrik Borg and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dislocation Mechanism-Based Crystal Plasticity

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Publisher : Academic Press
ISBN 13 : 0128145927
Total Pages : 450 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Dislocation Mechanism-Based Crystal Plasticity by : Zhuo Zhuang

Download or read book Dislocation Mechanism-Based Crystal Plasticity written by Zhuo Zhuang and published by Academic Press. This book was released on 2019-04-12 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Dislocation Dynamics and Plasticity

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Publisher : Springer Science & Business Media
ISBN 13 : 364275774X
Total Pages : 237 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Dislocation Dynamics and Plasticity by : Taira Suzuki

Download or read book Dislocation Dynamics and Plasticity written by Taira Suzuki and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1950s the direct observation of dislocations became possible, stimulat ing the interest of many research workers in the dynamics of dislocations. This led to major contributions to the understanding of the plasticity of various crys talline materials. During this time the study of metals and alloys of fcc and hcp structures developed remarkably. In particular, the discovery of the so-called in ertial effect caused by the electron and phonon frictional forces greatly influenced the quantitative understanding of the strength of these metallic materials. Statis tical studies of dislocations moving through random arrays of point obstacles played an important role in the above advances. These topics are described in Chaps. 2-4. Metals and alloys with bcc structure have large Peierls forces compared to those with fcc structure. The reasons for the delay in studying substances with bcc structure were mostly difficulties connected with the purification techniques and with microscopic studies of the dislocation core. In the 1970s, these difficulties were largely overcome by developments in experimental techniques and computer physics. Studies of dislocations in ionic and covalent bonding materials with large Peierls forces provided infonnation about the core structures of dislocations and their electronic interactions with charged particles. These are the main subjects in Chaps. 5-7.