The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Atomic-level stress in an inhomogeneous system
Abstract
The distribution of local stress in an atomic system can be calculated from its mechanical definition. While this leads, for a homogeneous system, to an expression equivalent to that derived from the virial theorem (thermodynamic definition), when local inhomogeneities are present the equivalence can be demonstrated only in the sense of a volume average which effectively eliminates the inhomogeneities. Atomistic simulation results are presented to show that for a relaxed crystal with a planar free surface, the normal stress on each atomic plane parallel to the surface, when calculated according to the mechanical definition, vanishes uniformly as expected, whereas if the virial expression were applied the resulting stress distribution shows unphysical oscillations in the surface region.
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Citations
Cites
Dynamical Theory of Crystal Lattices
Born, M., Huang, K., & Lax, M. (1955) · American Journal of Physics · doi:10.1119/1.1934059 · Cited by 10,501
Molecular theory of capillarity
Rowlinson, J. S., & Widom, B. (1982) · Cited by 2,854
The virial theorem and stress calculation in molecular dynamics
Tsai, D. H. (1979) · The Journal of Chemical Physics · doi:10.1063/1.437577 · Cited by 685
Jeans, J. (2009) · Cambridge University Press eBooks · doi:10.1017/cbo9780511694370 · Cited by 574
Structural defects in amorphous solids A computer simulation study
Egami, T., Maeda, K., & Vitek, V. (1980) · Philosophical Magazine A · doi:10.1080/01418618008243894 · Cited by 411
XVI. On a mechanical theorem applicable to heat
Clausius, R. (1870) · The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786447008640370 · Cited by 328
Stress and elastic constants in anisotropic solids: Molecular dynamics techniques
Lutsko, J. F. (1988) · Journal of Applied Physics · doi:10.1063/1.341877 · Cited by 233
Atomic Level Stresses in Solids and Liquids
Vitek, V., & Egami, T. (1987) · physica status solidi (b) · doi:10.1002/pssb.2221440113 · Cited by 188
Cited by
A new look at the atomic level virial stress: On continuum-molecular system equivalence
Zhou, M. (2003) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2003.1127 · Cited by 569
Calculation of stress in atomistic simulation
Zimmerman, J. A., WebbIII, E. B., Hoyt, J. J., Jones, R. E., Klein, P. A., & Bammann, D. J. (2004) · Modelling and Simulation in Materials Science and Engineering · doi:10.1088/0965-0393/12/4/s03 · Cited by 458
Metadata
- Authors
- Cheung, K. S., & Yip, S.
- Venue
- Journal of Applied Physics
- Publisher
- AIP Publishing
- Published
- 1991-11-15
- Volume
- 70
- Issue
- 10
- Pages
- 5688-5690
- ISSN
- 0021-8979 (ISSN-L)
- 1089-7550
- OpenAlex
- W2040329527
- Cited by
- 261
- References
- 8
- FWCI
- 0.36
- Type
- journal article
- Language
- en
- Open access
- closed
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- Cheung, K. S., & Yip, S. (1991). Atomic-level stress in an inhomogeneous system. Journal of Applied Physics. https://doi.org/10.1063/1.350186
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