DOI: 10.1063/1.338024. Dislocation-mechanics-based constitutive relations for material dynamics calculations

Dislocation-mechanics-based constitutive relations for material dynamics calculations

10.1063/1.338024

Crossref journal-article

AIP Publishing

Journal of Applied Physics (317)

Abstract

An improved description of copper- and iron-cylinder impact (Taylor) test results has been obtained through the use of dislocation-mechanics-based constitutive relations in the Lagrangian material dynamics computer program EPIC-2. The effects of strain hardening, strain-rate hardening, and thermal softening based on thermal activation analysis have been incorporated into a reasonably accurate constitutive relation for copper. The relation has a relatively simple expression and should be applicable to a wide range of fcc materials. The effect of grain size is included. A relation for iron is also presented. It also has a simple expression and is applicable to other bcc materials but is presently incomplete, since the important effect of deformation twinning in bcc materials is not included. A possible method of acounting for twinning is discussed and will be reported on more fully in future work. A main point made here is that each material structure type (fcc, bcc, hcp) will have its own constitutive behavior, dependent on the dislocation characteristics for that particular structure.

Bibliography

Zerilli, F. J., & Armstrong, R. W. (1987). Dislocation-mechanics-based constitutive relations for material dynamics calculations. Journal of Applied Physics, 61(5), 1816â1825.

Authors 2

Frank J. Zerilli (first)
Ronald W. Armstrong (additional)

References 29 Referenced 1,657

{'key': '2024020405594693400_r1'}
10.1016/0013-7944(85)90052-9 / Eng. Fract. Mech. (1985)
{'key': '2024020405594693400_r3'}
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{'key': '2024020405594693400_r5'}
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10.1115/1.4010820 / J. Appl. Mech. (1954)
10.1016/0020-7403(68)90048-9 / Int. J. Mech. Sci. (1968)
{'key': '2024020405594693400_r10', 'first-page': '455', 'volume': '46', 'year': '1985', 'journal-title': 'J. Phys. Colloq. C5'} / J. Phys. Colloq. C5 (1985)
10.1088/0959-5309/52/1/303 / Proc. Phys. Soc. London (1940)
{'key': '2024020405594693400_r12'}
10.1063/1.322244 / J. Appl. Phys. (1975)
10.1016/0001-6160(67)90118-6 / Acta Metall. (1967)
{'key': '2024020405594693400_r15'}
{'key': '2024020405594693400_r16', 'first-page': '364', 'volume': '198', 'year': '1961', 'journal-title': 'J. Iron Steel Inst.'} / J. Iron Steel Inst. (1961)
10.1080/14786435908233412 / Philos. Mag. (1959)
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{'key': '2024020405594693400_r18a', 'first-page': '388', 'volume': '145', 'year': '1934'} (1934)
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10.1016/0001-6160(82)90221-8 / Acta Metall. (1982)
{'key': '2024020405594693400_r22'}
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{'key': '2024020405594693400_r24'}
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{'key': '2024020405594693400_r26', 'first-page': '583', 'volume': '46', 'year': '1985', 'journal-title': 'J. Phys. Colloq. C5'} / J. Phys. Colloq. C5 (1985)
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Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 9:05 a.m.)
Deposited	1 year, 6 months ago (Feb. 4, 2024, 1 a.m.)
Indexed	30 minutes ago (Aug. 28, 2025, 8:26 a.m.)
Issued	38 years, 5 months ago (March 1, 1987)
Published	38 years, 5 months ago (March 1, 1987)
Published Print	38 years, 5 months ago (March 1, 1987)

Funders 0

None

BibTeX

@article{Zerilli_1987, title={Dislocation-mechanics-based constitutive relations for material dynamics calculations}, volume={61}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.338024}, DOI={10.1063/1.338024}, number={5}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Zerilli, Frank J. and Armstrong, Ronald W.}, year={1987}, month=mar, pages={1816–1825} }

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