The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals
Open accessAbstract
A continuum field theory approach is presented for modeling elastic and plastic deformation, free surfaces, and multiple crystal orientations in nonequilibrium processing phenomena. Many basic properties of the model are calculated analytically, and numerical simulations are presented for a number of important applications including, epitaxial growth, material hardness, grain growth, reconstructive phase transitions, and crack propagation.
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Citations
Cites
Phase Transitions and Critical Phenomena
(2016) · Statistical and Thermal Physics · doi:10.1201/9781439850541-13 · Cited by 11,176
The Deformation and Ageing of Mild Steel: III Discussion of Results
Hall, E. O. (1951) · Proceedings of the Physical Society. Section B · doi:10.1088/0370-1301/64/9/303 · Cited by 7,872
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Allen, S. M., & Cahn, J. W. (1979) · Acta Metallurgica · doi:10.1016/0001-6160(79)90196-2 · Cited by 3,796
Principles of Condensed Matter Physics
Chaikin, P. M., & Lubensky, T. C. (1995) · Cambridge University Press eBooks · doi:10.1017/cbo9780511813467 · Cited by 3,503
Defects in epitaxial multilayers I. Misfit dislocations
Matthews, J. (1974) · Journal of Crystal Growth · doi:10.1016/0022-0248(74)90424-2 · Cited by 3,102
Phase-Field Models for Microstructure Evolution
Chen, L.-Q. (2002) · Annual Review of Materials Research · doi:10.1146/annurev.matsci.32.112001.132041 · Cited by 2,989
Instabilities and pattern formation in crystal growth
Langer, J. S. (1980) · Reviews of Modern Physics · doi:10.1103/revmodphys.52.1 · Cited by 2,617
Theory of phase-ordering kinetics
Bray, A. J. (1994) · Advances in Physics · doi:10.1080/00018739400101505 · Cited by 2,544
Principles of Condensed Matter Physics
Chaikin, P. M., Lubensky, T. C., & Witten, T. A. (1995) · Physics Today · doi:10.1063/1.2808258 · Cited by 2,257
Cited by
Cantwell, P. R., Tang, M., Dillon, S. J., Luo, J., Rohrer, G. S., & Harmer, M. P. (2014) · Acta Materialia · doi:10.1016/j.actamat.2013.07.037 · Cited by 916
Emmerich, H., Löwen, H., Wittkowski, R., Gruhn, T., Tóth, G. I., Tegze, G., & Gránásy, L. (2012) · Advances in Physics · doi:10.1080/00018732.2012.737555 · Cited by 364
Tuned, driven, and active soft matter
Menzel, A. M. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.10.001 · Cited by 295
How crystals form: A theory of nucleation pathways
Lutsko, J. F. (2019) · Science Advances · doi:10.1126/sciadv.aav7399 · Cited by 212
Metadata
- Authors
- Elder, K. R., & Grant, M.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2004-11-19
- Volume
- 70
- Issue
- 5
- Pages
- 051605-051605
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W1979546093
- Cited by
- 842
- References
- 31
- FWCI
- 6.04
- Type
- journal article
- Language
- en
- Open access
- green
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
