- Abstract:
-
Continuum models for granular flow generally give rise to systems of nonlinear partial differential equations that are linearly ill-posed. In this paper we introduce discreteness into an elastoplasticity model for granular flow by approximating spatial derivatives with finite differences. The resulting ordinary differential equations have bounded solutions for all time, a consequence of both discreteness and nonlinearity. We study how the large-time behavior of solutions in this model depends...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1142/S0218202503003069
-
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- Journal:
- MATHEMATICAL MODELS and METHODS IN APPLIED SCIENCES
- Volume:
- 13
- Issue:
- 11
- Pages:
- 1629-1671
- Publication date:
- 2003-11-05
- DOI:
- EISSN:
-
1793-6314
- ISSN:
-
0218-2025
- URN:
-
uuid:7331de8b-0021-41c4-8ed0-4b5b332291c4
- Source identifiers:
-
13767
- Local pid:
- pubs:13767
- Language:
- English
- Keywords:
- Copyright date:
- 2003
Journal article
Stability of shear bands in an elastoplastic model for granular flow: The role of discreteness
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