Modelling Anisotropic Deformations of Polycrystalline Materials

Modelling Anisotropic Deformations of Polycrystalline Materials PDF Author: Yvan B. Chastel
Publisher:
ISBN:
Category :
Languages : en
Pages : 318

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Modelling Anisotropic Deformations of Polycrystalline Materials

Modelling Anisotropic Deformations of Polycrystalline Materials PDF Author: Yvan B. Chastel
Publisher:
ISBN:
Category :
Languages : en
Pages : 318

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Modelling Small Deformations of Polycrystals

Modelling Small Deformations of Polycrystals PDF Author: J. Gittus
Publisher: Springer Science & Business Media
ISBN: 9400941811
Category : Technology & Engineering
Languages : en
Pages : 424

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Book Description
The scientific work of Jean Mandel has been exceptionally rich in the area of the mechanics of solids; the subjects which he has treated have been extremely diverse, from the theory of plasticity, buckling, soil mechanics, visco-elasticity, the theory of reduced models, and thermo dynamics, to percolation in porous media. But throughout this com prehensive work Jean Mandel has always maintained his interest in forming connections between the properties of materials (strength, deformability, viscosity) and the properties of their basic constituents. What is sometimes referred to in materials science as the transition from the microscopic to the macroscopic has for him been a very constant direction of research, which he never ceased to encourage in the Laboratoire de Mecanique des Solides of which he was the director. It is known that in the plasticity of metals permanent deformations must be sought in intercrystalline slip and more generally in disloca tions and the various microstructural defects. Before deformation of polycrystals is tackled, it is necessary to understand the mechanisms which take place within the crystal: the different systems of slip which may be activated and also the elementary mechanisms of twinning. Jean Mandel has shown how to make the transition from the behaviour of the single crystal to that of the polycrystal and has given the relation ships between the overall permanent deformation of the polycrystal and the plastic deformation of the single crystal.

Texture and Anisotropy

Texture and Anisotropy PDF Author: U. F. Kocks
Publisher: Cambridge University Press
ISBN: 9780521794206
Category : Science
Languages : en
Pages : 672

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Book Description
A successful book covering an important area of materials science, now available in paperback.

Towards Modeling the Anisotropic Behavior of Polycrystalline Materials Due to Texture Using a Second Order Structure Tensor

Towards Modeling the Anisotropic Behavior of Polycrystalline Materials Due to Texture Using a Second Order Structure Tensor PDF Author: Brandon Chandler Templin
Publisher:
ISBN:
Category :
Languages : en
Pages : 112

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Book Description
A material model capable of reproducing the anisotropic behavior of polycrystalline materials will prove to be useful in simulations in which directional properties are of key importance. The primary contributor to anisotropic behavior in polycrystalline materials is the development of texture through the rotation and alignment of slip systems due to plastic deformation. A large concentration of aligned slip systems will influence the glide of dislocations in the respective global deformation direction resulting in a directionally dependent flow stress. The Evolving Microstructural Model of Inelasticity (EMMI) is modified to account for evolving anisotropy due to the development of texture. Texture is characterized via a second order orientation tensor and is incorporated into EMMI through various modifications to the EMMI equations based on physical assumptions. Evolving anisotropy is captured via a static yield surface through a modification to the flow rule based on the assumption loading is entirely elastic within the yield surface. A separate modification to the EMMI equations based on physical assumptions. Evolving anisotropy is captured via a static yield surface through a modification to the flow rule based on the assumption loading is entirely elastic within the yield surface. A separate modification to EMMI captures evolving anisotropy through an apparent yield surface via a modification to the EMMI internal state variable evolution equations. The apparent yield surface is the result of a smaller yield surface translating through stress space and assumes the state of the material is disturbed at stresses much lower than indicated by experimental yield surfaces.

The Plastic Anisotropy in Single Crystals and Polycrystalline Metals

The Plastic Anisotropy in Single Crystals and Polycrystalline Metals PDF Author: Wojciech Truszkowski
Publisher: Springer Science & Business Media
ISBN: 9401596921
Category : Science
Languages : en
Pages : 156

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Book Description
The reader shall find in the offered monograph a systematic presentation of scientific effects in the field of anisotropy studies reached by the author and his collaborators in the period of recent four decades: published and discussed in a number of papers and conference contributions. The central construction line of discussion is to be sought in the full and comprehensive analysis of ret:) function defining the anisotropy coefficient varying during the tensile test. No doubt, this function can be considered as a nutshell carrier ofcomprehensive information about the essential features influencing the directionality of the studied material's plasticity. The function also provides the basis to elaborate methods used in the determination of such characteristics. In the historical presentation of literature in the field of plastic anisotropy, the original input was offered by W.M. Baldwin Jr., already in 1946, who observed the differentiated strain rates in three mutually perpendicular directions of the sample subjected to static tensile test. In the following years, further and expanded analysis of the problem was undertaken by Lankford, Hill, Gensamer, Jackson, Low and Smith.

Crystal Plasticity Finite Element Methods

Crystal Plasticity Finite Element Methods PDF Author: Franz Roters
Publisher: John Wiley & Sons
ISBN: 3527642099
Category : Technology & Engineering
Languages : en
Pages : 188

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Book Description
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.

Continuum Multiscale Modeling of Finite Deformation Plasticity and Anisotropic Damage in Polycrystals

Continuum Multiscale Modeling of Finite Deformation Plasticity and Anisotropic Damage in Polycrystals PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 30

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Book Description
A framework for describing the deformation and failure responses of multi-phase polycrystalline microstructures is developed from micromechanical considerations and volume averaging techniques. Contributions from damage (i.e., displacement discontinuities such as cracks, voids, and shear bands) are captured explicitly in the framework's kinematics and balance relations through additive decompositions of the total deformation gradient and nominal stress, respectively. These additive decompositions which notably enable description of arbitrarily anisotropic deformations and stresses induced by damage are derived following the generalized theorem of Gauss, i.e., a version of the divergence theorem of vector calculus. A specific rendition of the general framework is applied to study the response of a dual-phase tungsten (W) alloy consisting of relatively stiff pure W grains embedded in a more ductile metallic binder material. In the present implementation, a Taylor scheme is invoked to average grain responses within each phase, with the local behavior of individual grains modeled with finite deformation crystal plasticity theory. The framework distinguishes between the effects of intergranular damage at grain and phase boundaries and transgranular damage (e.g., cleavage fracture of individual crystals). Strength reduction is induced by the evolving volume fraction of damage (i.e., porosity) and microcrack densities. Model predictions are compared with experimental data and observations for the W alloy subjected to various loading conditions.

Advances in Applied Mechanics

Advances in Applied Mechanics PDF Author:
Publisher: Academic Press
ISBN: 0080564127
Category : Technology & Engineering
Languages : en
Pages : 457

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Book Description
This highly acclaimed series provides survey articles on the present state and future direction of research in important branches of applied mechanics

Large Deformations of Solids: Physical Basis and Mathematical Modelling

Large Deformations of Solids: Physical Basis and Mathematical Modelling PDF Author: J. Gittus
Publisher: Springer Science & Business Media
ISBN: 9400934076
Category : Technology & Engineering
Languages : en
Pages : 501

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Book Description


Numerical Modelling of Material Deformation Processes

Numerical Modelling of Material Deformation Processes PDF Author: Peter Hartley
Publisher: Springer Science & Business Media
ISBN: 144711745X
Category : Technology & Engineering
Languages : en
Pages : 476

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Book Description
The principal aim of this text is to encourage the development and application of numerical modelling techniques as an aid to achieving greater efficiency and optimization of metal-forming processes. The contents of this book have therefore been carefully planned to provide both an introduction to the fundamental theory of material deformation simulation, and also a comprehensive survey of the "state-of-the-art" of deformation modelling techniques and their application to specific and industrially relevant processes. To this end, leading international figures in the field of material deformation research have been invited to contribute chapters on subjects on which they are acknowledged experts. The information in this book has been arranged in four parts: Part I deals with plasticity theory, Part II with various numerical modelling techniques, Part III with specific process applications and material phenomena and Part IV with integrated computer systems. The objective of Part I is to establish the underlying theory of material deformation on which the following chapters can build. It begins with a chapter which reviews the basic theories of classical plasticity and describes their analytical representations. The second chapter moves on to look at the theory of deforming materials and shows how these expressions may be used in numerical techniques. The last two chapters of Part I provide a review of isotropic plasticity and anisotropic plasticity.