DOI: 10.1063/1.1709833. Dislocation Pile-Ups against a Locked Dislocation of a Different Burgers Vector

Dislocation Pile-Ups against a Locked Dislocation of a Different Burgers Vector

10.1063/1.1709833

Crossref journal-article

AIP Publishing

Journal of Applied Physics (317)

Abstract

The classical analysis of Eshelby, Frank, and Nabarro of a linear dislocation pile-up is generalized to include the case in which the locked dislocation may have a Burgers vector of mb, where b is the Burgers vector of free dislocations and m is a positive real number. The equilibrium positions of (n−1) free dislocations piled up against the locked dislocation under a uniform applied stress are given by the roots of the Laguerre polynomial Ln−1(2m−1). Simple expressions for the distance between the locked and nearest free dislocation, x1, the length of the pile-up, L, and the stress at its tip, σtip, are obtained. Increasing m will increase x1 and decrease σtip, while L is only slightly extended. For large n the stress field within a certain distance range around the tip is found to be independent of m. Based on the Petch model of yielding it is shown that increasing m increases the Hall-Petch slope by a factor of (m)1/2. The effect of m on the coalescence of leading dislocations leads to a higher-fracture stress if m is increased.

Bibliography

Chou, Y. T. (1967). Dislocation Pile-Ups against a Locked Dislocation of a Different Burgers Vector. Journal of Applied Physics, 38(5), 2080â2085.

Authors 1

Y. T. Chou (first)

References 23 Referenced 34

10.1080/14786445108561060 / Phil. Mag. (1951)
{'key': '2024020209413656500_r2'}
{'key': '2024020209413656500_r3', 'first-page': '239', 'volume': '227', 'year': '1963', 'journal-title': 'Trans. AIME'} / Trans. AIME (1963)
{'key': '2024020209413656500_r4'}
10.1080/14786444908561420 / Phil. Mag. (1949)
10.1016/0001-6160(55)90036-5 / Acta Met. (1955)
10.1063/1.1702541 / J. Appl. Phys. (1962)
10.1063/1.1702625 / J. Appl. Phys. (1963)
10.1063/1.1709719 / J. Appl. Phys. (1967)
10.1002/pssb.19640060216 / Phys. Status Solidi (1964)
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{'key': '2024020209413656500_r13', 'first-page': '404', 'volume': '223A', 'year': '1954', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1954)
{'key': '2024020209413656500_r13a', 'first-page': '548', 'volume': '232A', 'year': '1955', 'journal-title': 'Proc. R. Soc. London, Ser. A'} / Proc. R. Soc. London, Ser. A (1955)
{'key': '2024020209413656500_r14'}
{'key': '2024020209413656500_r15', 'first-page': '25', 'volume': '174', 'year': '1953', 'journal-title': 'J. Iron Steel Inst.'} / J. Iron Steel Inst. (1953)
{'key': '2024020209413656500_r16', 'first-page': '747', 'volume': 'B64', 'year': '1951', 'journal-title': 'Proc. Phys. Soc. (London)'} / Proc. Phys. Soc. (London) (1951)
{'key': '2024020209413656500_r17', 'first-page': '192', 'volume': '212', 'year': '1958', 'journal-title': 'Trans. AIME'} / Trans. AIME (1958)
{'key': '2024020209413656500_r18'}
{'key': '2024020209413656500_r19'}
{'key': '2024020209413656500_r20', 'first-page': '293', 'volume': '233', 'year': '1965', 'journal-title': 'Trans. AIME'} / Trans. AIME (1965)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 15, 2005, 10:15 a.m.)
Deposited	1 year, 6 months ago (Feb. 2, 2024, 5:37 a.m.)
Indexed	3 weeks, 1 day ago (Aug. 6, 2025, 9:32 a.m.)
Issued	58 years, 4 months ago (April 1, 1967)
Published	58 years, 4 months ago (April 1, 1967)
Published Print	58 years, 4 months ago (April 1, 1967)

Funders 0

None

BibTeX

@article{Chou_1967, title={Dislocation Pile-Ups against a Locked Dislocation of a Different Burgers Vector}, volume={38}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.1709833}, DOI={10.1063/1.1709833}, number={5}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Chou, Y. T.}, year={1967}, month=apr, pages={2080–2085} }

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