A Model of Strain Localization and Its Application in Prediction of Shear Bands in Sand

DOI

10.2991/mme-16.2017.10How to use a DOI?

Keywords

Strain localization, Locally-deformed bands, Shear bands, Two-phase equilibrium.

Abstract

Strain localization in sand is modelled as the event of two-phase coexistence. Shear bands pertain to the high-strain phase of materials. And other regions outside bands pertain to the low-strain phase. Inside each phase the equilibrium equations must be satisfied. Across interfaces between the two phases, discontinuity of displacement gradient and stress is considered. And the continuity of displacement and traction is imposed. The Maxwell relation is also applied. For strain localization under plane strain, four governing equations involving five variables are derived, and the occurrence of locally-deformed bands is attributed to finding a possible minimum of loads. At this load, governing equations have physically acceptable real solutions. Via these solutions, both stresses and strains inside and outside bands and the inclination angle of the band can be all predicted. And the results are agreed well with experiment results.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - De-Xuan Qi
AU  - Dong-Li Chen
AU  - Wen-Jie Yan
PY  - 2016/12
DA  - 2016/12
TI  - A Model of Strain Localization and Its Application in Prediction of Shear Bands in Sand
BT  - Proceedings of the 3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)
PB  - Atlantis Press
SP  - 77
EP  - 83
SN  - 2352-5401
UR  - https://doi.org/10.2991/mme-16.2017.10
DO  - 10.2991/mme-16.2017.10
ID  - Qi2016/12
ER  -