TY - JOUR
T1 - Elaborated subloading surface model for accurate description of cyclic mobility in granular materials
AU - Hashiguchi, Koichi
AU - Mase, Tatsuya
AU - Yamakawa, Yuki
N1 - Funding Information:
The heartfelt gratitude of the authors is dedicated to Professor Toshihiro Noda, Nagoya University, Professor Shotaro Yamada, Tohoku University, and Professor Takashi Kiyota, The University of Tokyo, for providing the numeric values in the test data regarding the cyclic mobility of sands (Toyoura sand data from Prof. Noda and Prof. Yamada, and Tone and Edo river sands data from Prof. Kiyota), which were quite helpful for performing the exact comparisons of the simulation results with the test results. This study was partially supported by Japan Society for the Promotion of Science (JSPS), KAKENHI, Grant-in-Aid for Scientific Research (C), Grant Number JP19K04566 for Y. Yamakawa.
Funding Information:
The heartfelt gratitude of the authors is dedicated to Professor Toshihiro Noda, Nagoya University, Professor Shotaro Yamada, Tohoku University, and Professor Takashi Kiyota, The University of Tokyo, for providing the numeric values in the test data regarding the cyclic mobility of sands (Toyoura sand data from Prof. Noda and Prof. Yamada, and Tone and Edo river sands data from Prof. Kiyota), which were quite helpful for performing the exact comparisons of the simulation results with the test results. This study was partially supported by Japan Society for the Promotion of Science (JSPS), KAKENHI, Grant-in-Aid for Scientific Research (C), Grant Number JP19K04566 for Y. Yamakawa.
Publisher Copyright:
© 2021, The Author(s).
PY - 2022/3
Y1 - 2022/3
N2 - The description of the cyclic mobility observed prior to the liquefaction in geomaterials requires the sophisticated constitutive formulation to describe the plastic deformation induced during the cyclic loading with the small stress amplitude inside the yield surface. This requirement is realized in the subloading surface model, in which the surface enclosing a purely elastic domain is not assumed, while a purely elastic domain is assumed in other elastoplasticity models. The subloading surface model has been applied widely to the monotonic/cyclic loading behaviors of metals, soils, rocks, concrete, etc., and the sufficient predictions have been attained to some extent. The subloading surface model will be elaborated so as to predict also the cyclic mobility accurately in this article. First, the rigorous translation rule of the similarity center of the normal yield and the subloading surfaces, i.e., elastic core, is formulated. Further, the mixed hardening rule in terms of volumetric and deviatoric plastic strain rates and the rotational hardening rule are formulated to describe the induced anisotropy of granular materials. In addition, the material functions for the elastic modulus, the yield function and the isotropic hardening/softening will be modified for the accurate description of the cyclic mobility. Then, the validity of the present formulation will be verified through comparisons with various test data of cyclic mobility.
AB - The description of the cyclic mobility observed prior to the liquefaction in geomaterials requires the sophisticated constitutive formulation to describe the plastic deformation induced during the cyclic loading with the small stress amplitude inside the yield surface. This requirement is realized in the subloading surface model, in which the surface enclosing a purely elastic domain is not assumed, while a purely elastic domain is assumed in other elastoplasticity models. The subloading surface model has been applied widely to the monotonic/cyclic loading behaviors of metals, soils, rocks, concrete, etc., and the sufficient predictions have been attained to some extent. The subloading surface model will be elaborated so as to predict also the cyclic mobility accurately in this article. First, the rigorous translation rule of the similarity center of the normal yield and the subloading surfaces, i.e., elastic core, is formulated. Further, the mixed hardening rule in terms of volumetric and deviatoric plastic strain rates and the rotational hardening rule are formulated to describe the induced anisotropy of granular materials. In addition, the material functions for the elastic modulus, the yield function and the isotropic hardening/softening will be modified for the accurate description of the cyclic mobility. Then, the validity of the present formulation will be verified through comparisons with various test data of cyclic mobility.
KW - Constitutive equation
KW - Cyclic loading
KW - Cyclic mobility
KW - Elastoplastic deformation
KW - Granular materials
KW - Liquefaction
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U2 - 10.1007/s11440-021-01203-y
DO - 10.1007/s11440-021-01203-y
M3 - Article
AN - SCOPUS:85108797386
VL - 17
SP - 699
EP - 719
JO - Acta Geotechnica
JF - Acta Geotechnica
SN - 1861-1125
IS - 3
ER -