DOI: 10.1063/1.357575. Lattice instability in β-SiC and simulation of brittle fracture

Lattice instability in β-SiC and simulation of brittle fracture

10.1063/1.357575

Crossref journal-article

AIP Publishing

Journal of Applied Physics (317)

Abstract

Brittle fracture of β-SiC (polytype 3C) under hydrostatic tension has been modeled by molecular dynamics simulation using an interatomic potential function that treats the solid as fully covalent. The critical stress at which the lattice becomes structurally unstable is shown to agree quantitatively with that predicted by stability analysis based on elastic stiffness coefficients. The instability mode is the spinodal (vanishing of bulk modulus), and decohesion occurs as spontaneous nucleation of cracking on {111} shuffle planes. Atomic relaxation on the newly generated cracked surfaces appears to take place immediately following crack opening.

Bibliography

Tang, M., & Yip, S. (1994). Lattice instability in Î²-SiC and simulation of brittle fracture. Journal of Applied Physics, 76(5), 2719â2725.

Authors 2

Meijie Tang (first)
Sidney Yip (additional)

References 38 Referenced 55

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10.1017/S0305004100049549 / Math. Proc. Camb. Philos. Soc. (1975)
10.1103/PhysRevB.15.3087 / Phys. Rev. B (1977)
10.1016/0022-5096(77)90029-1 / J. Mech. Phys. Solids (1977)
10.1016/0022-5096(78)90018-2 / J. Mech. Phys. Solids (1978)
{'key': '2024020213270709200_r3c', 'first-page': '215', 'volume': '27', 'year': '1979', 'journal-title': 'J. Mech. Phys. Solids'} / J. Mech. Phys. Solids (1979)
10.1103/PhysRevLett.43.1411 / Phys. Rev. Lett. (1979)
10.1007/BF00551795 / J. Mater. Sci. (1980)
10.1063/1.328693 / J. Appl. Phys. (1981)
10.1103/PhysRevLett.71.4182 / Phys. Rev. Lett. (1993)
{'key': '2024020213270709200_r7'}
{'key': '2024020213270709200_r8'}
{'key': '2024020213270709200_r9'}
10.1016/0022-0248(84)90244-6 / J. Cryst. Growth (1984)
10.1103/PhysRevB.39.5566 / Phys. Rev. B (1989)
10.1088/0953-8984/2/38/006 / J. Phys. Condensed Matter (1990)
10.1103/PhysRevB.35.9666 / Phys. Rev. B (1987)
10.1103/PhysRevLett.56.632 / Phys. Rev. Lett. (1986)
{'key': '2024020213270709200_r15', 'first-page': '6991', 'volume': '27', 'year': '1988', 'journal-title': 'Phys. Rev. B'} / Phys. Rev. B (1988)
10.1103/PhysRevB.38.9902 / Phys. Rev. B (1988)
10.1103/PhysRevLett.61.2879 / Phys. Rev. Lett. (1988)
{'key': '2024020213270709200_r18', 'first-page': '59', 'volume': '141', 'year': '1989', 'journal-title': 'Mater. Res. Soc. Symp. Proc.'} / Mater. Res. Soc. Symp. Proc. (1989)
10.1209/0295-5075/14/1/008 / Europhys. Lett. (1991)
10.1103/PhysRevB.31.6184 / Phys. Rev. B (1985)
{'key': '2024020213270709200_r21', 'first-page': '2250', 'volume': '46', 'year': '1992', 'journal-title': 'Phys. Rev. B'} / Phys. Rev. B (1992)
10.1029/JB083iB03p01257 / J. Geophys. Res. (1978)
{'key': '2024020213270709200_r23'}
10.1016/0167-7977(88)90009-3 / Comp. Phys. Rep. (1988)
10.1016/0920-2307(93)90001-U / Mater. Sci. Rep. (1993)
10.1103/PhysRevB.44.3685 / Phys. Rev. B (1991)
10.1016/0925-8388(93)90026-J / J. Alloys Compounds (1993)
10.1088/0370-1328/85/3/313 / Proc. Phys. Soc. (1965)
10.1002/pssa.2210340266 / Phys Status Solidi A (1976)
10.1016/0921-5093(93)90370-T / Mater. Sci. Eng. A (1993)
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Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 9:47 a.m.)
Deposited	1 year, 7 months ago (Feb. 2, 2024, 9:10 a.m.)
Indexed	1 month ago (Aug. 2, 2025, 1:14 a.m.)
Issued	31 years ago (Sept. 1, 1994)
Published	31 years ago (Sept. 1, 1994)
Published Print	31 years ago (Sept. 1, 1994)

Funders 0

None

BibTeX

@article{Tang_1994, title={Lattice instability in β-SiC and simulation of brittle fracture}, volume={76}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.357575}, DOI={10.1063/1.357575}, number={5}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Tang, Meijie and Yip, Sidney}, year={1994}, month=sep, pages={2719–2725} }

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