Dislocation Creep: Climb and Glide in the Lattice Continuum
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Plastic Deformation of Single Crystals
Plastic Deformation of Single Crystals 27-750 Texture, Microstructure & Anisotropy A.D. Rollett With thanks to Prof. H. Garmestani (GeorgiaTech), G. Branco (FAMU/FSU) Last revised: 11th Feb. ‘14 Single Crystal Plasticity, A.D.Rollett, Carnegie Mellon Univ., 2014 2 Objective • The objective of this lecture is to explain how single crystals deform plastically. • Subsidiary objectives include: – Schmid Law – Critical Resolved Shear Stress – Lattice reorientation during plastic deformation • Note that this development assumes that we load each crystal under stress boundary conditions. That is, we impose a stress and look for a resulting strain (rate). Single Crystal Plasticity, A.D.Rollett, Carnegie Mellon Univ., 2014 3 Why is the Schmid factor useful? • The Schmid factor is a good predictor of which slip or twinning system will be active, especially for small plastic strains (< 5 %). • It has been used to analyze the plasticity of ordered intermetallics, especially Ni3Al and NiAl. • It has been used to analyze twinning in hexagonal metals, which is an essential deformation mechanism. • Some EBSD software packages will let you produce maps of Schmid factor. • Schmid factor has proven useful to visualize localization of plastic flow as a precursor to fatigue crack formation. • Try searching with “Schmid factor” (include the quotation marks). Single Crystal Plasticity, A.D.Rollett, Carnegie Mellon Univ., 2014 4 Bibliography • U.F. Kocks, C. Tomé, H.-R. Wenk, Eds. (1998). Texture and Anisotropy, Cambridge University Press, Cambridge, UK: Chapter 8, Kinematics and Kinetics of Plasticity. • C.N. Reid (1973). Deformation Geometry for Materials Scientists. Oxford, UK, ISBN: 1483127249, Pergamon. • Khan and Huang (1999), Continuum Theory of Plasticity, ISBN: 0-471-31043-3, Wiley. -
The Dislocation Behaviour and GND Development in Nickel Based Superalloy During Creep
The Dislocation Behaviour and GND Development in Nickel Based Superalloy during Creep Soran Birosca1, Gang Liu1, Rengen Ding2, Cathie Rae3, Jun Jiang4,5, Ben Britton5, Chris Deen6, Mark Whittaker1 1 Institute of Structural Materials, College of Engineering, Swansea University, Bay Campus, Swansea SA1 8EN, UK. 2 School of Metallurgy and Materials, University of Birmingham, Birmingham B15 2TT, UK. 3 Department of Materials Science and Metallurgy, University of Cambridge, Cambridge CB3 0FS, UK. 4 Department of Mechanical Engineering, Faculty of Engineering, South Kensington Campus, Imperial College London, London SW7 2AZ, UK 5 Department of Materials, South Kensington Campus, Imperial College London, London SW7 2AZ, UK 6 Rolls-Royce plc, PO Box 31, Derby, DE24 8BJ, UK. Abstract In the current study, dislocation activity and storage during creep deformation in a nickel based superalloy (Waspaloy) was investigated, focussing on the storage of geometrically necessary (GND) and statistically stored (SSD) dislocations. Two methods of GND density calculations were used, namely; EBSD Hough Transformation and HR-EBSD Cross Correlation based methods. The storage of dislocations, including SSDs, was investigated by means of TEM imaging. Here, the concept of GND accumulation in soft and hard grains and the effect of neighbouring grain orientation on total dislocation density was examined. Furthermore, the influence of applied stress (below and above Waspaloy yield stress) during creep on deformation micro-mechanism and dislocation density was studied. It was demonstrated that soft grains provided pure shear conditions at least on two octahedral (111) slips for easy dislocation movement reaching the grain boundary without significant geometrically necessary accumulation in the centre of the grain. -
Mechanisms Governing the Creep Behavior of High Temperature Alloys for Generation IV Nuclear Energy Systems
Project No. 09-776 Mechanisms Governing the Creep Behavior of High Temperature Alloys for Generation IV Nuclear Energy Systems Reactor Concepts Dr. Vi jay K. Vasudevan University of Cincinnati In collaboration with: Idaho National Laboratory Oak Ridge National Laboratory Sue Lesica, Federal ROC Laura Carroll, Technical ROC Final Report Project Title: Mechanisms Governing the Creep Behavior of High Temperature Alloys for Generation IV Nuclear Energy Systems Covering Period: October 1, 2009 - March 31, 2014 Date of Report: April 3, 2015 Recipient: Name: University of Cincinnati Street: 2600 Clifton Ave. City: Cincinnati State: Ohio Zip: 45221 Contract Number: 88635 Project Number: 09-776 Principal Investigator: Vijay K. Vasudevan - (513) 556-3103 - vijay. [email protected] Xingshuo Wen (PhD student); Behrang Poorganji (Postdoctoral Fellow) Collaborators: Laura J. Carroll, T.L. Sham Project Objective: This research project, which includes collaborators from INL and ORNL, focuses on the study of alloy 617 and alloy 800H that are candidates for applications as intermediate heat exchangers in GEN IV nuclear reactors, with an emphasis on the effects of grain size, grain boundaries and second phases on the creep properties; the mechanisms of dislocation creep, diffusional creep and cavitation; the onset of tertiary creep; and theoretical modeling for long-term predictions of materials behavior and for high temperature alloy design. TPOCs: [email protected] Federal reviewers: [email protected] 1 T a b l e o f C o n t e n t s Section Page -
Dislocation Multiplication by Cross-Slip and Glissile Reaction in a Dislocation Based Continuum Formulation of Crystal Plasticity
Dislocation multiplication by cross-slip and glissile reaction in a dislocation based continuum formulation of crystal plasticity Markus Sudmannsa, Markus Strickerc, Daniel Weyganda, Thomas Hochrainerb, Katrin Schulza,∗ aInstitute for Applied Materials, Karlsruhe Institute of Technology, Kaiserstraße 12, 76131 Karlsruhe, Germany bInstitut f¨urFestigkeitslehre, Technische Universit¨atGraz, Kopernikusgasse 24, 8010 Graz, Austria cInstitute of Mechanical Engineering, Ecole´ Polytechnique F´ed´erale de Lausanne, CH-1015, Switzerland Abstract Modeling dislocation multiplication due to interaction and reactions on a mesoscopic scale is an important task for the physically meaningful description of stage II hardening in face-centered cubic crystalline materials. In recent Discrete Dislocation Dynamics simulations it is observed that dislocation multiplication is exclusively the result of mechanisms, which involve disloca- tion reactions between different slip systems. These findings contradict multiplication models in dislocation based continuum theories, in which density increase is related to plastic slip on the same slip system. An application of these models for the density evolution on individual slip systems results in self-replication of dislocation density. We introduce a formulation of dislo- cation multiplication in a dislocation based continuum formulation of plasticity derived from a mechanism-based homogenization of cross-slip and glissile reactions in three-dimensional face- centered cubic systems. As a key feature, the presented -
Some Aspects of Cross-Slip Mechanisms in Metals and Alloys Daniel Caillard, J.L
Some aspects of cross-slip mechanisms in metals and alloys Daniel Caillard, J.L. Martin To cite this version: Daniel Caillard, J.L. Martin. Some aspects of cross-slip mechanisms in metals and alloys. Journal de Physique, 1989, 50 (18), pp.2455-2473. 10.1051/jphys:0198900500180245500. jpa-00211074 HAL Id: jpa-00211074 https://hal.archives-ouvertes.fr/jpa-00211074 Submitted on 1 Jan 1989 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. J. Phys. France 50 (1989) 2455-2473 15 SEPTEMBRE 1989, 2455 Classification Physics Abstracts 62.20H Some aspects of cross-slip mechanisms in metals and alloys D. Caillard (1) and J. L. Martin (2) (1) Laboratoire d’Optique Electronique du CNRS, B.P. 4347, F-31055 Toulouse Cedex, France (2) Institut de Génie Atomique, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland (Reçu le 6 mars 1989, accepté sous forme définitive le 24 mai 1989) Résumé. 2014 Des modèles ont été proposés pour décrire le glissement dévié des dislocations dans les métaux de structure CFC et HC. On montre comment ces modèles se sont développés et comment des résultats expérimentaux récents confirment leurs prédictions. -
Grain Size and Solid Solution Strengthening in Metals
Grain Size and Solid Solution Strengthening in Metals A Theoretical and Experimental Study Dilip Chandrasekaran Doctoral Dissertation Division of Mechanical Metallurgy Department of Materials Science and Engineering Royal Institute of Technology SE-100 44 Stockholm, Sweden Stockholm 2003 ISBN 91-7283-604-0 ISRN KTH/MSE--03/54--SE+MEK/AVH Akademisk avhandling, som med tillstånd av Kungliga Tekniska Högskolan i Stockholm, framlägges till offentlig granskning för avläggande av teknologie doktorsexamen fredagen den 21 november kl 10.00 i sal K1, Teknikringen 56, Kungliga Tekniska Högskolan, Stockholm. Fakultetsopponent Dr. Torben Leffers, Forskningscenter Risö, Roskilde, Danmark. ” Dilip Chandrasekaran 2003 ii ABSTRACT The understanding of the strengthening mechanisms is crucial both in the development of new materials with improved mechanical properties and in the development of better material models in the simulation of industrial processes. The aim of this work has been to study different strengthening mechanisms from a fundamental point of view that enables the development of a general model for the flow stress. Two different mechanisms namely, solid solution strengthening and grain size strengthening have been examined in detail. Analytical models proposed in the literature have been critically evaluated with respect to experimental data from the literature. Two different experimental surface techniques, atomic force microscopy (AFM) and electron backscattered diffraction (EBSD) were used to characterize the evolving deformation structure at grain boundaries, in an ultra low-carbon (ULC) steel. A numerical model was also developed to describe experimental features observed locally at grain boundaries. For the case of solid solution strengthening, it is shown that existing models for solid solution strengthening cannot explain the observed experimental features in a satisfactory way. -
Indentation-Based Characterization of Creep and Hardness Behavior of Magnesium Carbon Nanotube Nanocomposites at Room Temperature
This is a repository copy of Indentation-based characterization of creep and hardness behavior of magnesium carbon nanotube nanocomposites at room temperature. White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/149671/ Version: Supplemental Material Article: Thornby, J, Verma, D, Cochrane, R et al. (4 more authors) (2019) Indentation-based characterization of creep and hardness behavior of magnesium carbon nanotube nanocomposites at room temperature. SN Applied Sciences, 1 (7). ARTN: 695. ISSN 2523-3963 https://doi.org/10.1007/s42452-019-0696-9 © Springer Nature Switzerland AG 2019. This is a post-peer-review, pre-copyedit version of an article published in SN Applied Sciences. The final authenticated version is available online at: https://doi.org/10.1007/s42452-019-0696-9 Reuse Items deposited in White Rose Research Online are protected by copyright, with all rights reserved unless indicated otherwise. They may be downloaded and/or printed for private study, or other acts as permitted by national copyright laws. The publisher or other rights holders may allow further reproduction and re-use of the full text version. This is indicated by the licence information on the White Rose Research Online record for the item. Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request. [email protected] https://eprints.whiterose.ac.uk/ Indentation-Based Characterization of Creep and Hardness Behavior of Magnesium Carbon Nanotube Nanocomposites at Room Temperature J. -
Investigation with Cellular-Automaton Simulations
Delft University of Technology Topological aspects responsible for recrystallization evolution in an IF-steel sheet – Investigation with cellular-automaton simulations Traka, Konstantina; Sedighiani, Karo; Bos, Cornelis; Galan Lopez, Jesus; Angenendt, Katja; Raabe, Dierk; Sietsma, Jilt DOI 10.1016/j.commatsci.2021.110643 Publication date 2021 Document Version Final published version Published in Computational Materials Science Citation (APA) Traka, K., Sedighiani, K., Bos, C., Galan Lopez, J., Angenendt, K., Raabe, D., & Sietsma, J. (2021). Topological aspects responsible for recrystallization evolution in an IF-steel sheet – Investigation with cellular-automaton simulations. Computational Materials Science, 198, [110643]. https://doi.org/10.1016/j.commatsci.2021.110643 Important note To cite this publication, please use the final published version (if applicable). Please check the document version above. Copyright Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons. Takedown policy Please contact us and provide details if you believe this document breaches copyrights. We will remove access to the work immediately and investigate your claim. This work is downloaded from Delft University of Technology. For technical reasons the number of authors shown on this cover page is limited to a maximum of 10. Computational Materials Science 198 -
Dislocation Creep: Climb and Glide in the Lattice Continuum
Article Dislocation Creep: Climb and Glide in the Lattice Continuum Sinisa Dj. Mesarovic School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164, USA; [email protected] Received: 9 June 2017; Accepted: 31 July 2017; Published: 4 August 2017 Abstract: A continuum theory for high temperature creep of polycrystalline solids is developed. It includes the relevant deformation mechanisms for diffusional and dislocation creep: elasticity with eigenstrains resulting from vacancy diffusion, dislocation climb and glide, and the lattice growth/loss at the boundaries enabled by diffusion. All the deformation mechanisms are described with respect to the crystalline lattice, so that the continuum formulation with lattice motion as the basis is necessary. However, dislocation climb serves as the source sink of lattice sites, so that the resulting continuum has a sink/source of its fundamental component, which is reflected in the continuity equation. Climb as a sink/source also affects the diffusion part of the problem, but the most interesting discovery is the climb-glide interaction. The loss/creation of lattice planes through climb affects the geometric definition of crystallographic slip and necessitates the definition of two slip fields: the true slip and the effective slip. The former is the variable on which the dissipative power is expanded during dislocation glide and is thus, the one that must enter the glide constitutive equations. The latter describes the geometry of the slip affected by climb, and is necessary for kinematic analysis. Keywords: dislocation climb; lattice sink; vacancy sink; continuum with a material sink; climb-glide interaction 1. Introduction At high temperatures, polycrystalline solids exhibit creep—a slow, phenomenologically viscous flow. -
Short-Term Creep Behavior of an Additive Manufactured Non-Weldable Nickel-Base Superalloy Evaluated by Slow Strain Rate Testing
Acta Materialia 179 (2019) 142e157 Contents lists available at ScienceDirect Acta Materialia journal homepage: www.elsevier.com/locate/actamat Full length article Short-term creep behavior of an additive manufactured non-weldable Nickel-base superalloy evaluated by slow strain rate testing * Jinghao Xu a, Hans Gruber b, Dunyong Deng a, Ru Lin Peng a, Johan J. Moverare a, a Division of Engineering Materials, Department of Management and Engineering, Linkoping€ University, Linkoping,€ SE-58183, Sweden b Division of Materials and Manufacture, Department of Industrial and Materials Science, Chalmers University of Technology, Gothenburg, SE-41296, Sweden article info abstract Article history: Additive manufacturing (AM) of high g0 strengthened Nickel-base superalloys, such as IN738LC, is of high Received 1 July 2019 interest for applications in hot section components for gas turbines. The creep property acts as the Received in revised form critical indicator of component performance under load at elevated temperature. However, it has been 18 August 2019 widely suggested that the suitable service condition of AM processed IN738LC is not yet fully clear. In Accepted 19 August 2019 order to evaluate the short-term creep behavior, slow strain rate tensile (SSRT) tests were performed. Available online 20 August 2019 IN738LC bars were built by laser powder-bed-fusion (L-PBF) and then subjected to hot isostatic pressing (HIP) followed by the standard two-step heat treatment. The samples were subjected to SSRT testing at Keywords: À5 À6 À7 Nickel-base superalloy 850 C under strain rates of 1 Â 10 /s, 1 Â 10 /s, and 1 Â 10 /s. In this research, the underlying creep Laser processing deformation mechanism of AM processed IN738LC is investigated using the serial sectioning technique, Creep electron backscatter diffraction (EBSD), transmission electron microscopy (TEM). -
The Mechanics of Ice
COLD REGIONS SCIENCE AND ENGINEERING Monograph ll-C2b THE MECHANICS OF ICE John W. Glen December 1975 GB 2401 CORPS OF ENGINEERS, U.S. ARMY .U58m COLD REGIONS RESEARCH AND ENGINEERING LABORATORY no.ll-C2b HANOVER, NEW HAMPSHIRE 1975 Approved for public release; distribution unlimited. 5 fl rolomis The findings in this report are not to be construed as an official Department of the Army position unless so designated by other authorized docume* s. 0 Unclassified BUREAU OF RECLAMATION pENVER UBRARY C/ 92099625 ^ Y REPORT DOCUMENTATION PAGE ...............Q ? n Q 9 f i ? 5 1. REPORT NUMBER 2. GOVT ACCESSION NO. 3. RECIPt_______________ - ..------------ Monograph II-C2b -> 5. TYPE OF REPORT ft PERIOD COVERED 4. TITLE (end Subtitle) j m MECHANICS OF ICE 6. PERFORMING ORG. REPORT NUMBER 8. CONTRACT OR GRANT NUMBER*» 7. AUTHORf» European Research Office r J.W. Glen ,r Contract DAJA37-68-C*0208 £ ■ '« • ' 1 "• - TO. PROGRAM ELEMENT, PROJECT, TASK 9. PERFORMING ORGANIZATION NAME AND ADDRESS AREA ft WORK UNIT NJUMBERS Dr. John W. Glen Department of Physics ^ DA Project 1T062112A130 University of Birmingham ( ^ Task 01 ____ Birmingham. England ____; '____ ; _______ — 11. CONTROLLING OFFICE NAME AND ADDRESS 12. REPORT DATE Office, Chief of Engineers ^ December 1975 u 13. n u m b er o f p a g e s ' Washington, D.C. 47 14. MONITORING AGENCY NAME ft ADDRESS*?/ different from Controlling Office) 15. SECURITY CLASS, (of thie report) UvS ^Army Cold Regions Research and Engineering Laboratory-^ Unclassified Hanover, New Hampshire 03755 15«. DECLASSIFICATION/ DOWNGRADING SCHEDULE 16. DISTRIBUTION STATEMENT (of thla Report) Approved for public release; distribution unlimited. -
Mechanical Failure – Creep
High temperature applications What happen to the strength at elevated temperature -Steel power plants -Oil refineries -Chemical plants Strength becomes……… High operating temperatures very dependent to strain rate and time of Engine jet ----1400 oC exposure Steam turbine power plants: pipes carry steam (~566 oC, pressure ~ 3500 psi) Called Creep surface reentry temperature ~ 2800 oC (Apollo) …Temperatures generated within the hottest area during ballistic reentry may exceed 11,100°C MECHANICAL FAILURE – CREEP ISSUES TO ADDRESS... MECHANICAL FAILURE - • Creep curve CREEP • Revisit dislocations • Revisit diffusion • Creep testing • Creep failure • Larson-Miller parameter WHAT IS CREEP? • Many engineering components are exposed to high temperature for a long period of time. • Changes within the component due to this (at constant Time – dependent permanent plastic deformation, which generally occurs at high temperatures (T > 0.4T ), under a constant load or stress. stress) is called Creep. m • e.g. Turbine blade within a jet engine, steam generator. • It can also happened at room temperature for soft metals such as Lead. • It is a slow process, where deformation changes with time. Creep is important in applications such as: turbine blades (jet engines), gas turbines, power plants (boilers and steam lines) which must operate 800-1000 OC at high stresses and high temperatures without any changes in dimensions. THEORY OF CREEP Creep behaviour of a metal is determined by measuring the strain World trade center, WTC collapsed, due to creep (ε) deformation as function of time under constant stress 21 CREEP • Creep occurs even with high strength materials with high heat resistant. strain, ε • At high temperature atomic bonding starts to fail, causing movement of atoms and atomic planes.