1
|
Tahmasebi P. Accurate modeling and evaluation of microstructures in complex materials. Phys Rev E 2018; 97:023307. [PMID: 29548238 DOI: 10.1103/physreve.97.023307] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/24/2017] [Indexed: 06/08/2023]
Abstract
Accurate characterization of heterogeneous materials is of great importance for different fields of science and engineering. Such a goal can be achieved through imaging. Acquiring three- or two-dimensional images under different conditions is not, however, always plausible. On the other hand, accurate characterization of complex and multiphase materials requires various digital images (I) under different conditions. An ensemble method is presented that can take one single (or a set of) I(s) and stochastically produce several similar models of the given disordered material. The method is based on a successive calculating of a conditional probability by which the initial stochastic models are produced. Then, a graph formulation is utilized for removing unrealistic structures. A distance transform function for the Is with highly connected microstructure and long-range features is considered which results in a new I that is more informative. Reproduction of the I is also considered through a histogram matching approach in an iterative framework. Such an iterative algorithm avoids reproduction of unrealistic structures. Furthermore, a multiscale approach, based on pyramid representation of the large Is, is presented that can produce materials with millions of pixels in a matter of seconds. Finally, the nonstationary systems-those for which the distribution of data varies spatially-are studied using two different methods. The method is tested on several complex and large examples of microstructures. The produced results are all in excellent agreement with the utilized Is and the similarities are quantified using various correlation functions.
Collapse
Affiliation(s)
- Pejman Tahmasebi
- Department of Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071, USA
| |
Collapse
|
2
|
Penisson JM, Bonnet R, Loubradou M, Derder C. Atomic Structure of Internal Interfaces in A Ti3AI-TiAI Two-Phase Alloy. ACTA ACUST UNITED AC 2011. [DOI: 10.1557/proc-238-41] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
Abstract
ABSTRACTTiAI/Ti3AI colonies in an as-cast Ti-40 at.%AI alloy have been studied using HREM. Their microstructures consist mainly of alternating parallel lamellae of y (TiAI, L10) and α2 (Ti3AI, DO19) phases. The γ phase is often twinned with extended boundaries {111] parallel to the adjacent Ti3AI-TiAI interphase boundaries. The detailed atomic structures of the two possible (111)-γ σ3a and (111)γ σ3b twin boundaries have been observed as well as the facetted (0001)α2//(11)γ interphase boundaries. The facetted boundaries contain transformation dislocations whose elastic displacement fields conform well to the fields computed from the Somigliana dislocation model.
Collapse
|
3
|
Hsiung LL. Deformation twinning in a creep-deformed nanolaminate structure. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2010; 22:395003. [PMID: 21403216 DOI: 10.1088/0953-8984/22/39/395003] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
The underlying mechanism of deformation twinning occurring in a TiAl-(γ)/Ti(3)Al-(α(2)) nanolaminate creep deformed at elevated temperatures has been studied. Since the multiplication and propagation of lattice dislocations in both γ and α(2) thin lamellae are very limited, the total flow of lattice dislocations becomes insufficient to accommodate the accumulated creep strains. Consequently, the movement of interfacial dislocations along the laminate interfaces, i.e., interface sliding, becomes an alternative deformation mode of the nanolaminate structure. Pile-ups of interfacial dislocations occur when interfacial ledges and impinged lattice dislocations act as obstacles to impede the movement of interfacial dislocations. Deformation twinning can accordingly take place to relieve a stress concentration resulting from the pile-up of interfacial dislocations. An interface-controlled twinning mechanism driven by the pile-up and dissociation of interfacial dislocations is accordingly proposed.
Collapse
Affiliation(s)
- Luke L Hsiung
- Lawrence Livermore National Laboratory, Physical and Life Sciences Directorate, L-352, PO Box 808, Livermore, CA 94551-9900, USA.
| |
Collapse
|
4
|
Zheng JG, Liu ZG, Li Q, Zhu JM, Feng D, Frommeyer G. The structure of translation twins in TiAl investigated by high-resolution electron microscopy. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/01418619408242939] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- J. G. Zheng
- a National Laboratory of Solid State Microstructures , Nanjing University , Nanjing , 210008 , P. R. China
- b Center of Interface Analysis and Sensors , Institute of Physical and Theoretical Chemistry, Eberhard-Karls-Universität Tübingen , Auf der Morgenstelle 8, D-72076 , Tübingen , Germany
| | - Z. G. Liu
- a National Laboratory of Solid State Microstructures , Nanjing University , Nanjing , 210008 , P. R. China
| | - Q. Li
- a National Laboratory of Solid State Microstructures , Nanjing University , Nanjing , 210008 , P. R. China
| | - J. M. Zhu
- a National Laboratory of Solid State Microstructures , Nanjing University , Nanjing , 210008 , P. R. China
| | - D. Feng
- a National Laboratory of Solid State Microstructures , Nanjing University , Nanjing , 210008 , P. R. China
| | - G. Frommeyer
- c Max-Planck-Institut für Eisenforschung GmbH , PLZ 40237 , Düsseldorf , Germany
| |
Collapse
|
5
|
Zhao L, Tangri K. Variation in the dislocation structure on lamellar ti3al/tial interfaces during deformation at different temperatures. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/01418619208201496] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
6
|
Abe E, Kajiwara S, Kumagai T, Nakamura M. High-resolution electron microscopy of twin interfaces in massively transformed γ-TiAl. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/01418619708214005] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- E. Abe
- a National Research Institute for Metals , 1–2–1 Sengen, Tsukuba , 305 , Japan
| | - S. Kajiwara
- a National Research Institute for Metals , 1–2–1 Sengen, Tsukuba , 305 , Japan
| | - T. Kumagai
- a National Research Institute for Metals , 1–2–1 Sengen, Tsukuba , 305 , Japan
| | - M. Nakamura
- a National Research Institute for Metals , 1–2–1 Sengen, Tsukuba , 305 , Japan
| |
Collapse
|
7
|
Zhao L, Tangri K. Transmission electron microscopy characterization of interfacial boundaries in heat-treated Ti3Al + TiAl two-phase alloy. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/01418619108221192] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
8
|
Forwood CT, Gibson MA. Slip transfer of deformation twins in duplex γ-based Ti–Al alloys. Part II. Transfer across γ–α2interfaces. ACTA ACUST UNITED AC 2000. [DOI: 10.1080/01418610008223895] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
9
|
Shang P, Cheng TT, Aindow M. A high-resolution electron microscopy study of steps on lamellar γ-α2interfaces in a low-misfit TiAl-based alloy. ACTA ACUST UNITED AC 1999. [DOI: 10.1080/01418619908214299] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
10
|
Inui H, Kishida K, Kobayashi M, Yomaguchi M, Kawasaki M, Ibe K. Compositional variations at TiAl-TiAl lamellar boundaries in binary and some ternary polysynthetically twinned Ti-Al. ACTA ACUST UNITED AC 1996. [DOI: 10.1080/01418619608242154] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
11
|
Tanimura M, Inoue Y, Koyama Y. Features of a eutectoid reaction in a Ti-40 at. % Al alloy: Evidence for an amorphous-state formation from a crystal. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:15239-15243. [PMID: 9980878 DOI: 10.1103/physrevb.52.15239] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
|
12
|
Ramanujan R. The transformation between the γ and α phases in binary and ternary γ-based titanium aluminides. ACTA ACUST UNITED AC 1994. [DOI: 10.1016/0956-7151(94)90310-7] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
|
13
|
Wunderlich W, Kremser T, Frommeyer G. Mobile dislocations at the α2/γ phase boundaries in intermetallic TiAl/Ti3Al-alloys. ACTA ACUST UNITED AC 1993. [DOI: 10.1016/0956-7151(93)90199-3] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
|
14
|
Deformation processes related to interfacial boundaries in two-phase γ-titanium aluminides. ACTA ACUST UNITED AC 1993. [DOI: 10.1016/0956-7151(93)90191-t] [Citation(s) in RCA: 168] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
15
|
He LL, Ye HQ, Ning XG, Cao MZ, Han D. The study of interfaces between TiAl and Ti3Al phases in the intermetallic compound Ti50·7Al48Mn1·3. ACTA ACUST UNITED AC 1993. [DOI: 10.1080/01418619308224765] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
16
|
|
17
|
Yang YS, Wu SK, Wang JY. A study by high-resolution electron microscopy of an α2+ γ two-phase Ti–40 at.% Al alloy. ACTA ACUST UNITED AC 1993. [DOI: 10.1080/01418619308207171] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
18
|
Singh SR, Howe JM. High-resolution electron microscopy of γ-α2interfaces in titanium aluminide. ACTA ACUST UNITED AC 1992. [DOI: 10.1080/01418619208201588] [Citation(s) in RCA: 58] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
|
19
|
Howe JM, Rozeveld SJ. Effect of crystal and beam tilt on simulated high-resolution TEM images of interfaces. Microsc Res Tech 1992; 23:230-8. [PMID: 1472750 DOI: 10.1002/jemt.1070230306] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022]
Abstract
The effects of crystal and beam tilt on high-resolution transmission electron microscope (HRTEM) images of planar coherent interfaces were investigated by multislice image simulations. It was found that a beam tilt of 0.5 Bragg angle (theta B) was sufficient to introduce detrimental artifacts into most images of interfaces in crystals only 1/8 xi 000 thick, while crystal tilt had a much smaller effect even for crystals 1 xi 000 thick. Effects produced in HRTEM images of interfaces by crystal and beam tilt included the introduction of additional periodicities and loss of compositional detail across a boundary, translation of a boundary from its actual position, and apparent mismatch of atomic planes across a perfectly coherent interface. These results indicate that alignment of the electron beam parallel to the optic axis is critical for reliable HRTEM imaging of interfaces in materials. Techniques for obtaining accurate alignment are also discussed.
Collapse
Affiliation(s)
- J M Howe
- Department of Materials Science and Engineering, University of Virginia, Charlottesville 22903
| | | |
Collapse
|
20
|
Huang SC. Microstructures and property tradeoffs in wrought TiAl-base alloys. ACTA ACUST UNITED AC 1992. [DOI: 10.1007/bf02660879] [Citation(s) in RCA: 50] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
|
21
|
|
22
|
Zhao L, Tangri K. TEM investigation on the interfacial boundaries in as-cast Ti3Al+TiAl alloy. ACTA ACUST UNITED AC 1991. [DOI: 10.1016/0956-7151(91)90003-j] [Citation(s) in RCA: 61] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
|