Discrete models of force chain networks
Publication
, Journal Article
Socolar, JES
Published in: Discrete and Continuous Dynamical Systems - Series B
January 1, 2003
A fundamental property of any material is its response to a localized stress applied at a boundary. For granular materials consisting of hard, cohesionless particles, not even the general form of the stress response is known. Directed force chain networks (DFCNs) provide a theoretical frame-work for addressing this issue, and analysis of simplified DFCN models reveal both rich mathematical structure and surprising properties. We review some basic elements of DFCN models and present a class of homogeneous solutions for cases in which force chains are restricted to lie on a discrete set of directions.
Duke Scholars
Published In
Discrete and Continuous Dynamical Systems - Series B
DOI
ISSN
1531-3492
Publication Date
January 1, 2003
Volume
3
Issue
4
Start / End Page
601 / 618
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Socolar, J. E. S. (2003). Discrete models of force chain networks. Discrete and Continuous Dynamical Systems - Series B, 3(4), 601–618. https://doi.org/10.3934/dcdsb.2003.3.601
Socolar, J. E. S. “Discrete models of force chain networks.” Discrete and Continuous Dynamical Systems - Series B 3, no. 4 (January 1, 2003): 601–18. https://doi.org/10.3934/dcdsb.2003.3.601.
Socolar JES. Discrete models of force chain networks. Discrete and Continuous Dynamical Systems - Series B. 2003 Jan 1;3(4):601–18.
Socolar, J. E. S. “Discrete models of force chain networks.” Discrete and Continuous Dynamical Systems - Series B, vol. 3, no. 4, Jan. 2003, pp. 601–18. Scopus, doi:10.3934/dcdsb.2003.3.601.
Socolar JES. Discrete models of force chain networks. Discrete and Continuous Dynamical Systems - Series B. 2003 Jan 1;3(4):601–618.
Published In
Discrete and Continuous Dynamical Systems - Series B
DOI
ISSN
1531-3492
Publication Date
January 1, 2003
Volume
3
Issue
4
Start / End Page
601 / 618
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics