In this paper the solution of the non-stationary model for MSM structures is obtained numerically. The two-dimensional model consists of three singularly perturbed non-linear partial di!erential equations. The alternating-direction method for discretization in time and the non-oscillatory streamline
A continuum model for periodic two-dimensional block structures
✍ Scribed by Jean Sulem; Hans-B. Mühlhaus
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 209 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1082-5010
No coin nor oath required. For personal study only.
✦ Synopsis
A continuum model for regular block structures is derived by replacing the difference quotients of the discrete equations by corresponding differential quotients. The homogenization procedure leads to an anisotropic Cosserat Continuum. For elastic block interactions the dispersion relations of the discrete and the continuous models are derived and compared. Yield criteria for block tilting and sliding are formulated. An extension of the theory for large deformation is proposed.
📜 SIMILAR VOLUMES
A two-dimensional model for quantitative evaluation of the effect of convective and diffusive substrate transport on biofilm heterogeneity was developed. The model includes flow computation around the irregular biofilm surface, substrate mass transfer by convection and diffusion, biomass growth, and