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A self-consistent mechanics of composite materials
Open accessAbstract
Abstract T he macroscopic elastic moduli of two-phase composites are estimated by a method that takes account of the inhomogeneity of stress and strain in a way similar to the Hershey-Kroner theory of crystalline aggregates. The phases may be arbitrarily aeolotropic and in any concentrations, but are required to have the character of a matrix and effectively ellipsoidal inclusions. Detailed results arc given for an isotropic dispersion of spheres.
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Citations
Cited by
Solutions for effective shear properties in three phase sphere and cylinder models
Christensen, R. M., & Lo, K. H. (1979) · Journal of the Mechanics and Physics of Solids · doi:10.1016/0022-5096(79)90032-2 · Cited by 2,119
Physics of inhomogeneous inorganic materials
Nan, C.-W. (1993) · Progress in Materials Science · doi:10.1016/0079-6425(93)90004-5 · Cited by 1,050
Liu, Z., Wu, C. T., & Koishi, M. (2019) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2018.09.020 · Cited by 319
Two-scale mechanism-based theory of nonlinear viscoelasticity
Tang, S., Steven Greene, M., & Liu, W. K. (2012) · Journal of the Mechanics and Physics of Solids · doi:10.1016/j.jmps.2011.11.003 · Cited by 87
Martínez-Reina, J., Domínguez, J., & García-Aznar, J. M. (2011) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-010-0236-4 · Cited by 61
Metadata
- Authors
- Hill, R.
- Venue
- Journal of the Mechanics and Physics of Solids
- Publisher
- Elsevier BV
- Published
- 1965-08
- Volume
- 13
- Issue
- 4
- Pages
- 213-222
- ISSN
- 0022-5096 (ISSN-L)
- OpenAlex
- W2072176741
- Cited by
- 3,712
- References
- 0
- FWCI
- 7.47
- Type
- journal article
- Language
- en
- Open access
- green
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- Hill, R. (1965). A self-consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids. https://doi.org/10.1016/0022-5096(65)90010-4
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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.