TY - JOUR
T1 - Mode switching and recursive bifurcation in granular materials
AU - Ikeda, K.
AU - Murota, K.
AU - Yamakawa, Y.
AU - Yanagisawa, E.
N1 - Funding Information:
The tests on sand specimens were supported by the Maeda Memorial Engineering Foundation and by the Japanese ministry of education under the grant number of 06805038.T he offer of a photo by Dr Kodaka is greatly appreciated. Thanks are expressedt o Mr Yonehard, Mr Kanehira, and Mr Chida for their hearty support.
PY - 1997
Y1 - 1997
N2 - The existence of the "mode switching" and "recursive bifurcation" behavior in granular materials (sand triaxial-compression-test specimens) under shearing is revealed. Group-theoretic bifurcation theory is employed to categorize bifurcation modes through the observation of deformation patterns of these materials, and hence to detect the occurrence of recursive bifurcation. A bifurcation point search technique is developed and applied to a strain versus stress curve of a specimen to identify the presence of a series of bifurcation points associated with the recursive bifurcation. In addition, an imperfection sensitivity law is employed to testify the occurrence of mode switching between two dominant bifurcation modes. Curves of strain versus stress undergoing mode switching and recursive bifurcation are simulated well by the bifurcation equation. The predominant role of mode switching and recursive bifurcation in shearing behavior of the granular materials is clearly demonstrated and fully described with the use of the bifurcation theory.
AB - The existence of the "mode switching" and "recursive bifurcation" behavior in granular materials (sand triaxial-compression-test specimens) under shearing is revealed. Group-theoretic bifurcation theory is employed to categorize bifurcation modes through the observation of deformation patterns of these materials, and hence to detect the occurrence of recursive bifurcation. A bifurcation point search technique is developed and applied to a strain versus stress curve of a specimen to identify the presence of a series of bifurcation points associated with the recursive bifurcation. In addition, an imperfection sensitivity law is employed to testify the occurrence of mode switching between two dominant bifurcation modes. Curves of strain versus stress undergoing mode switching and recursive bifurcation are simulated well by the bifurcation equation. The predominant role of mode switching and recursive bifurcation in shearing behavior of the granular materials is clearly demonstrated and fully described with the use of the bifurcation theory.
KW - A. buckling
KW - B. granular material
KW - C. stability and bifurcation
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U2 - 10.1016/S0022-5096(97)00020-3
DO - 10.1016/S0022-5096(97)00020-3
M3 - Article
AN - SCOPUS:0031270914
VL - 45
SP - 1929
EP - 1953
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
SN - 0022-5096
IS - 11-12
ER -