Crystal Plasticity Modeling Of Polycrystalline Ti 6242 And Study Of Local Phenomena PDF Download

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Crystal Plasticity Modeling of Polycrystalline Ti-6242 and Study of Local Phenomena

Crystal Plasticity Modeling of Polycrystalline Ti-6242 and Study of Local Phenomena
Author: Dhyanjyoti Deka
Publisher:
Total Pages: 232
Release: 2005
Genre: Polycrystalline semiconductors
ISBN:

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Abstract: This work develops an experimentally validated computational model based on crystal plasticity for the analysis of two-phase [alpha]/[beta]Ti-6242 polycrystalline alloys. A rate dependent elasto-crystal plasticity model is incorporated in this model to accommodate anisotropy in material behavior and tension-compression asymmetry inherent to this alloy. A combination of detailed micro-testing, orientation imaging microscopy, computational simulations and minimization process involving Genetic algorithms (GA) is implemented in this study for careful characterization and calibration of the material parameters. Size effects are also considered in this analysis. A homogenized equivalent model of the transformed [beta] colonies is developed for incorporation in the Ti-6242 Finite Element (FE) model. The polycrystalline Ti-6242 computational model is constructed to incorporate accurate phase volume fractions as well as orientation distributions that are statistically equivalent to those observed in the OIM scans. The effects of accurate orientation, misorientation and micro-texture distributions are investigated through simulations using this computational model. The model is used to simulate constant strain rate and creep tests in compression and tension and the results are validated with experiments. The effects of microstructure and creep induced load-shedding on the localization of microstructural stresses and strains are studied for potential crack initiation criteria. Further, the microstructure has been studied at the point of failure in Ti-6242 in tension creep and dwell tests. Critical grains with the highest basal normal stress, stress in the loading direction and equivalent plastic strain are identified in the tension creep test and their specific crystallographic orientations and misorientations are studied. The critical grains in the case of dwell fatigue loading are also identified and a criterion for primary crack nucleation in Ti-6242 is developed.


Grain Size Dependent Crystal Plasticity Finite Element Model for Deformation and Creep Studies in Polycrystalline Ti-6242

Grain Size Dependent Crystal Plasticity Finite Element Model for Deformation and Creep Studies in Polycrystalline Ti-6242
Author: Gayathri Venkataramani
Publisher:
Total Pages: 196
Release: 2007
Genre: Polycrystals
ISBN:

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Abstract: This thesis is aimed at identifying the critical microstructural parameters that cause local stress concentration due to load shedding between microstructural regions of varying strengths, proposed as one of the fundamental reasons for crack initiation in Ti-6242. A rate dependent, anisotropic, elasto-crystal plasticity based finite element model developed for polyphase Ti-6242 that can account for various microstructural features is used in the present study. A size effect model that relates hardness with the grain size, colony size and lath size in the microstructure of polycrystalline Ti-6242 is developed using different characteristic lengths for different slip systems in the primary fL and transformed 13 regions based on the slip direction. The initial slip system deformation resistances in the crystal plasticity relations are expressed as Hall-Petch type relations based on models of dislocation pileup for various deformation modes. The size-effect parameters are determined from single crystal and colony experiments. The model is validated by comparing the results of simulation with those from constant strain rate and creep tests on polyphase-polycrystalline Ti-6242. The validated model is further used to obtain macroscopic flow stress dependence on grain size and lath size in Ti-6242 through constant strain rate simulations. It is also used to understand the effect of grain size and shape on load-shedding between hard and soft oriented grains and to identify critical microstructural and macrostructural variables responsible for localized stress concentration due to load shedding phenomenon. Various microstructural variables such as grain orientation, misorientation, grain size and Schmid factor and macroscopic variables like composition of phases is considered in a detailed parametric study and the critical combinations of these parameters that result in high stress due to load shedding is identified. Finally load shedding in a realistic microstructure model for polycrystalline Ti-6242 is discussed in which accurate phase volume fractions and orientation and size distributions that are statistically equivalent to those observed in OIM scans are incorporated. The 3D microstructure model accounts for grain shape complexity in load shedding phenomenon and helps in the identification of local hot spots in a realistic microstructure.


Crystal Plasticity Finite Element Methods

Crystal Plasticity Finite Element Methods
Author: Franz Roters
Publisher: John Wiley & Sons
Total Pages: 188
Release: 2011-08-04
Genre: Technology & Engineering
ISBN: 3527642099

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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.


Proceedings of the 13th World Conference on Titanium

Proceedings of the 13th World Conference on Titanium
Author: Vasisht Venkatesh
Publisher: John Wiley & Sons
Total Pages: 4024
Release: 2016-04-26
Genre: Technology & Engineering
ISBN: 1119296110

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This book contains the Proceedings of the 13th World Conference on Titanium.


Texture Informed Crystal Plasticity Finite Element Modeling of Polycrystalline Material Deformation

Texture Informed Crystal Plasticity Finite Element Modeling of Polycrystalline Material Deformation
Author: Zhe Leng
Publisher:
Total Pages:
Release: 2014
Genre:
ISBN:

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The interaction between the dislocation and the grain boundaries is also incorporated in the model. For the near grain boundary regions, particular consideration and finite element formula is applied to account for the additional activation energy term as well as the geometric compatibility of the grain boundary during dislocation penetration events, both of the energy term and the geometric barrier depend on the grain boundary character. The formulations applied here provide a reasonable methodology to understand how the interactions between dislocation and grain boundary affect the overall mechanical behavior and the microstructure, and quantitative comparisons of predicted geometrically necessary dislocation distributions with the those determined experimentally indicates a reasonable agreement, further analysis also indicates that stress concentration, as well as the dislocation patterning, depends highly on the grain boundary characters.


Crystal Plasticity Finite Element Methods

Crystal Plasticity Finite Element Methods
Author: Franz Roters
Publisher: Wiley-VCH
Total Pages: 208
Release: 2010-11-22
Genre: Technology & Engineering
ISBN: 9783527324477

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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.


Generalized Continuum Modeling of Scale-dependent Crystalline Plasticity

Generalized Continuum Modeling of Scale-dependent Crystalline Plasticity
Author: Jason R. Mayeur
Publisher:
Total Pages:
Release: 2010
Genre: Finite element method
ISBN:

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The use of metallic material systems (e.g. pure metals, alloys, metal matrix composites) in a wide range of engineering applications from medical devices to electronic components to automobiles continues to motivate the development of improved constitutive models to meet increased performance demands while minimizing cost. Emerging technologies often incorporate materials in which the dominant microstructural features have characteristic dimensions reaching into the submicron and nanometer regime. Metals comprised of such fine microstructures often exhibit unique and size-dependent mechanical response, and classical approaches to constitutive model development at engineering (continuum) scales, being local in nature, are inadequate for describing such behavior. Therefore, traditional modeling frameworks must be augmented or reformulated to account for such phenomena. Crystal plasticity constitutive models have proven quite capable of capturing first-order microstructural effects such as grain orientation, grain morphology, phase distribution, etc. on the deformation behavior of both single and polycrystals, yet suffer from the same limitations as other local continuum theories with regard to modeling scale-dependent mechanical response. This research is focused on the development, numerical implementation, and application of a novel, physics-based generalized (nonlocal) theory of single crystal plasticity. Two distinct versions of a dislocation-based micropolar single crystal plasticity theory are developed and discussed within the context of more prominent nonlocal crystal plasticity theories. The constitutive models have been implemented in the commercial finite element code Abaqus, and the size-dependent deformation of both single and polycrystalline metals have been studied via direct numerical simulation. A comparison of results obtained from the solution of several equivalent initial-boundary value problems using the developed models and a model of discrete dislocation dynamics has demonstrated the predictive capabilities of the micropolar theory and also highlighted areas for potential model refinement.


A New Crystal Plasticity Formulation to Simulate Large-strain Plasticity of Polycrystalline Metals at Elevated Temperatures

A New Crystal Plasticity Formulation to Simulate Large-strain Plasticity of Polycrystalline Metals at Elevated Temperatures
Author: Edward D. Cyr
Publisher:
Total Pages: 149
Release: 2017
Genre: Aluminum alloys
ISBN:

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This dissertation explores the plasticity polycrystalline metals, with particular attention paid to aluminum and its alloys. Specifically aluminum Al-Mg sheet alloys, which are currently replacing steel parts for panel and some structural componentry in the automotive industry. At the forefront of this transition, is the problem of poor room-temperature formability of the aluminum sheet when compared to its steel counterparts. A promising solution to this has been the use of warm-forming to increase formability, preventing redesign of automotive parts from steel to aluminum (Li and Ghosh, 2003). In this thesis, a new constitutive framework and methodology is developed to accurately model elevated temperature behaviour of polycrystalline aluminum. This study describes a picture of the physics behind slip dominated deformation in polycrystalline metals, and the mechanical characterization techniques used to determine modeling parameters for crystal plasticity. A review on modeling techniques and published work on the versatility of crystal plasticity theory and application is also presented. An initial model is then developed for a fully temperature dependent crystal plasticity framework. The model employs a generic hardening law to study the effect of temperature on material hardening, and conclusions are made on the lack of microstructural correlation between the model and physical behaviour of the material. The same framework is then implemented in the well known Marciniak-Kuzynski (1967) based limit strain formulation as an application study with Chang and Asaro (1981) type hardening. Temperature dependency is studied and formability is predicted for different aluminum alloys. The study reveals that, again, phenomenological-based hardening is only satisfactory for predicting elevated-temperature behaviour, and results are very sensitive to model input parameters. In the second half of this dissertation, a physical model is carefully developed from fundamental dislocation theories. The model is formulated on the basis of accumulation of dislocations as the dominating strengthening mechanism in polycrystals, introduces recovery as a thermally activated process leading to temperature dependent softening. The model is used to study temperature dependency of slip deformation in pure aluminum, and the correlation between physical processes and model parameters. The model is able to capture and predict deformation response, as well as suggest explanation to the influence of temperature on microstructural behaviour. Finally, the model is applied to study the temperature dependency of microstructural parameters in 5xxx series Al-Mg sheet alloys. Experimental data is used to characterized material parameters at warm forming temperatures, and the model is used to predict stress-strain response. The model is then used to discuss the effect of temperature on two different alloys and suggests explanation on the microstructural causes leading to variation hardening behaviour between the two alloys over the temperature range studied. The work then concludes the improvement of model predictability, and the utility of such a model in microstructural design.