Calculation of the incremental stress-strain relation of a polygonal packing

Alonso-Marroquin, F and Herrmann, HJ (2002) Calculation of the incremental stress-strain relation of a polygonal packing. Physical Review E, 66 2: 021301-1-021301-11. doi:10.1103/PhysRevE.66.021301

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Author Alonso-Marroquin, F
Herrmann, HJ
Title Calculation of the incremental stress-strain relation of a polygonal packing
Journal name Physical Review E   Check publisher's open access policy
ISSN 1063-651X
Publication date 2002-08-01
Year available 2002
Sub-type Article (original research)
DOI 10.1103/PhysRevE.66.021301
Open Access Status File (Publisher version)
Volume 66
Issue 2
Start page 021301-1
End page 021301-11
Total pages 11
Place of publication College Pk
Publisher American Physical Soc
Language eng
Abstract The constitutive relation of the quasistatic deformation on two-dimensional packed samples of polygons is calculated using molecular dynamics simulations. The stress values at which the system remains stable are bounded by a failure surface, which shows a power law dependence on the pressure. Below the failure surface, nonlinear elasticity and plastic deformation are obtained, which are evaluated in the framework of the incremental linear theory. The results show that the stiffness tensor can be directly related to the microcontact rearrangements. The plasticity obeys a nonassociated flow rule with a plastic limit surface that does not agree with the failure surface.
Keyword Physics, Fluids & Plasmas
Physics, Mathematical
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
Earth Systems Science Computational Centre Publications
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Citation counts: TR Web of Science Citation Count  Cited 36 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 44 times in Scopus Article | Citations
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Created: Wed, 17 Oct 2007, 21:32:35 EST