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Elastic Spheres in Contact Under Varying Oblique Forces
Abstract
An investigation is made of the phenomena occurring at the contact surfaces of like elastic spheres subjected to a variety of applied forces. Owing to the presence of slip, with its associated energy dissipation and permanent set, the changes in tractions and displacements depend not only upon the initial state of loading, but upon the entire past history of loading and the instantaneous relative rates of change of the normal and tangential forces. On the basis of three of the simplest cases of varying oblique forces, a set of rules of procedure is assembled and then applied to two types of problems. In the first, the initial tangential compliances are calculated for a variety of past histories and instantaneous rates of loading; in the other, a detailed history of a varying oblique force is investigated.
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Cited by
A discrete numerical model for granular assemblies
Cundall, P. A., & Strack, O. D. L. (1979) · Géotechnique · doi:10.1680/geot.1979.29.1.47 · Cited by 17,527
Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes
Di Renzo, A., & Di Maio, F. P. (2004) · Chemical Engineering Science · doi:10.1016/j.ces.2003.09.037 · Cited by 1,127
Krull, F., Hesse, R., Breuninger, P., & Antonyuk, S. (2018) · Chemical Engineering Research and Design · doi:10.1016/j.cherd.2018.05.033 · Cited by 33
Metadata
- Authors
- Mindlin, R. D., & Deresiewicz, H.
- Venue
- Journal of Applied Mechanics
- Publisher
- ASME International
- Published
- 1953-09-01
- Volume
- 20
- Issue
- 3
- Pages
- 327-344
- ISSN
- 0021-8936 (ISSN-L)
- 1528-9036
- OpenAlex
- W2504044668
- Cited by
- 2,782
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Elastic Spheres in Contact Under Varying Oblique Forces. https://app.cochat.ai/papers/10.1115/1.4010702
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- Mindlin, R. D., & Deresiewicz, H. (1953). Elastic Spheres in Contact Under Varying Oblique Forces. Journal of Applied Mechanics. https://doi.org/10.1115/1.4010702
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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.
