A state-dependent non-coaxial model of sand using a modified vertex theory and its FEM application

In this paper, a modified vertex theory is proposed, and then a non-coaxial plastic model of sand is constructed by introducing the proposed theory into a state dependent dilatancy model. The distinctive feature of this model is that non-coaxial plasticity is only given under the principal stress ax...

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Vydané v:	Acta geotechnica Ročník 17; číslo 3; s. 741 - 753
Hlavní autori:	Wang, Xing, Kong, Liang, Li, Xue-feng, Ma, Wen-guo
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2022 Springer Nature B.V
Predmet:	Algorithms Bearing capacity Complex Fluids and Microfluidics Dilatancy Engineering Foundations Geoengineering Geotechnical Engineering & Applied Earth Sciences Hydraulics Plastic properties Plasticity Research Paper Sand Shear Shear tests Simple shear tests Soft and Granular Matter Soil Science & Conservation Solid Mechanics Stiffness Theories Bearing capacity of foundation Modified vertex theory Non-coaxial Semi-implicit integration algorithm
ISSN:	1861-1125, 1861-1133
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Abstract	In this paper, a modified vertex theory is proposed, and then a non-coaxial plastic model of sand is constructed by introducing the proposed theory into a state dependent dilatancy model. The distinctive feature of this model is that non-coaxial plasticity is only given under the principal stress axis rotation condition. The capability of the model to capture the non-coaxial phenomena is verified by the simple shear test. Furthermore, in order to use the established model to analyze the bearing capacity of foundation, the formulas corresponding to the semi-implicit integration algorithm are derived, and then the applicability of the algorithm to the non-coaxial model is evaluated by simulating the simple shear test of a single element. Finally, the effects of non-coaxiality on the bearing capacity of foundation are analyzed and the results show that the introduction of non-coaxial plasticity reduces the overall stiffness of the foundation model, and neglecting the non-coaxial influences may lead to unsafe designs.
AbstractList	In this paper, a modified vertex theory is proposed, and then a non-coaxial plastic model of sand is constructed by introducing the proposed theory into a state dependent dilatancy model. The distinctive feature of this model is that non-coaxial plasticity is only given under the principal stress axis rotation condition. The capability of the model to capture the non-coaxial phenomena is verified by the simple shear test. Furthermore, in order to use the established model to analyze the bearing capacity of foundation, the formulas corresponding to the semi-implicit integration algorithm are derived, and then the applicability of the algorithm to the non-coaxial model is evaluated by simulating the simple shear test of a single element. Finally, the effects of non-coaxiality on the bearing capacity of foundation are analyzed and the results show that the introduction of non-coaxial plasticity reduces the overall stiffness of the foundation model, and neglecting the non-coaxial influences may lead to unsafe designs.
Author	Wang, Xing Kong, Liang Li, Xue-feng Ma, Wen-guo
Author_xml	– sequence: 1 givenname: Xing surname: Wang fullname: Wang, Xing organization: School of Civil Engineering, Qingdao University of Technology – sequence: 2 givenname: Liang surname: Kong fullname: Kong, Liang email: qdkongliang@163.com organization: School of Science, Qingdao University of Technology – sequence: 3 givenname: Xue-feng surname: Li fullname: Li, Xue-feng organization: Solid Mechanics Institute, Ningxia University – sequence: 4 givenname: Wen-guo surname: Ma fullname: Ma, Wen-guo organization: Solid Mechanics Institute, Ningxia University
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Cites_doi	10.1061/(ASCE)0733-9399(2008)134:4(322) 10.1016/j.compgeo.2017.01.013 10.1016/j.compgeo.2018.02.022 10.1061/(ASCE)EM.1943-7889.0001730 10.1016/j.ijplas.2005.01.001 10.1007/s11440-018-0760-4 10.1016/0022-5096(75)90001-0 10.1061/(ASCE)GT.1943-5606.0000854 10.1002/nag.1610171104 10.1007/s12205-017-0822-4 10.1002/nme.1620290304 10.3208/sandf1972.33.3_105 10.1061/(ASCE)1090-0241(2002)128:10(868) 10.1007/s11440-009-0094-3 10.1080/17486020600777101 10.1016/j.cma.2015.02.005 10.1007/s00707-014-1120-6 10.3208/sandf.40.2_49 10.3208/sandf1972.23.61 10.1680/geot.2000.50.4.449 10.1002/nag.531 10.3208/sandf1972.31.4_121 10.1016/j.sandf.2018.03.002 10.1007/s11440-017-0582-9 10.1016/j.ijsolstr.2016.11.019 10.1016/0093-6413(86)90047-9 10.1002/nag.715 10.1002/(SICI)1096-9853(200003)24:3<245::AID-NAG52>3.0.CO;2-C 10.1007/BF03026374 10.1016/j.compgeo.2013.01.001 10.1061/(ASCE)0733-9399(2004)130:6(622) 10.3208/sandf1972.28.2_95 10.1061/(ASCE)0733-9399(1990)116:5(983) 10.1016/j.cma.2009.08.002 10.1016/S0749-6419(02)00113-4
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Snippet	In this paper, a modified vertex theory is proposed, and then a non-coaxial plastic model of sand is constructed by introducing the proposed theory into a...
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SubjectTerms	Algorithms Bearing capacity Complex Fluids and Microfluidics Dilatancy Engineering Foundations Geoengineering Geotechnical Engineering & Applied Earth Sciences Hydraulics Plastic properties Plasticity Research Paper Sand Shear Shear tests Simple shear tests Soft and Granular Matter Soil Science & Conservation Solid Mechanics Stiffness Theories
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Title	A state-dependent non-coaxial model of sand using a modified vertex theory and its FEM application
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