The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Meshfree and particle methods and their applications
Abstract
Recent developments of meshfree and particle methods and their applications in applied mechanics are surveyed. Three major methodologies have been reviewed. First, smoothed particle hydrodynamics (SPH) is discussed as a representative of a non-local kernel, strong form collocation approach. Second, mesh-free Galerkin methods, which have been an active research area in recent years, are reviewed. Third, some applications of molecular dynamics (MD) in applied mechanics are discussed. The emphases of this survey are placed on simulations of finite deformations, fracture, strain localization of solids; incompressible as well as compressible flows; and applications of multiscale methods and nano-scale mechanics. This review article includes 397 references.
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Cites
Self-Consistent Equations Including Exchange and Correlation Effects
Kohn, W., & Sham, L. J. (1965) · Physical Review · doi:10.1103/physrev.140.a1133 · Cited by 64,135
Computer Simulation of Liquids
Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
Daubechies, I. (1992) · doi:10.1137/1.9781611970104 · Cited by 15,979
Molecular Gas Dynamics And The Direct Simulation Of Gas Flows
Bird, G. A. (1994) · doi:10.1093/oso/9780198561958.001.0001 · Cited by 7,269
Lattice-gas automata for the Navier-Stokes equation
Frisch, U., Hasslacher, B., & Pomeau, Y. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.1505 · Cited by 2,788
Cited by
Coupling of atomistic and continuum simulations using a bridging scale decomposition
Wagner, G. J., & Liu, W. K. (2003) · Journal of Computational Physics · doi:10.1016/s0021-9991(03)00273-0 · Cited by 659
Self-citationRheology of red blood cell aggregation by computer simulation
Liu, Y., & Liu, W. K. (2006) · Journal of Computational Physics · doi:10.1016/j.jcp.2006.05.010 · Cited by 295
Self-citationThe immersed molecular finite element method
Kopacz, A. M., Patankar, N. A., & Liu, W. K. (2012) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2012.04.005 · Cited by 16
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Metadata
- Authors
- Li, S., & Liu, W. K.
- Venue
- Applied Mechanics Reviews
- Publisher
- ASME International
- Published
- 2002-01-01
- Volume
- 55
- Issue
- 1
- Pages
- 1-34
- ISSN
- 0003-6900 (ISSN-L)
- 2379-0407
- OpenAlex
- W2126293339
- Cited by
- 848
- References
- 5
- FWCI
- 54.74
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
