Summary
A constitutive model based on hypoplasticity and micropolar continuum is developed by complex tensor formulations. The new model is simpler than any existing micropolar models. A characteristic length is the only additional material parameter. This model is implemented into ABAQUS and solved by finite element method (FEM). The simulation result of a simple shear test is compared with results of discrete element method (DEM). The comparison shows that the rotations of particles can be fairly well predicted with the micropolar hypoplastic model.
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References
Mühlhaus, H.B., Vardoulakis, I.: The thickness of shear bands in granular materials. Gèotechnique 37, 271–283 (1987)
Wu, W., Kolymbas, D.: Numerical testing of the stability criterion for hypoplastic constitutive equations. Mechanics of Materials 9, 245–253 (1990)
Tejchman, J., Bauer, E.: Numerical Simulation of Shear Band Formation with a Polar Hypoplastic Constitutive Model. Computers and Geotechnics 19, 221–244 (1996)
Goddard, J.D.: Granular hypoplasticity with Cosserat effects. In: AIP Conference Proceedings, vol. 1227, pp. 323–332 (2010)
Xiao, H.: On symmetries and anisotropies of classical and micropolar linear elasticities: A new method based upon a complex vector basis and some systematic results. Journal of Elasticity 49, 129–162 (1998)
Tejchman, J., Wu, W.: Numerical study on patterning of shear bands in a Cosserat continuum. Acta Mechanica 99, 61–74 (1993)
Huang, W., Nübel, K., Bauer, E.: Polar extension of a hypoplastic model for granular materials with shear localization. Mechanics of Materials 34, 563–576 (2002)
Osinov, V.A., Wu, W.: Strain-gradient extension of hypoplasticity. Acta Mechanica 203(1-2), 37–47 (2009)
Tejchman, J.: Comparative FE-studies of shear localizations in granular bodies within a polar and non-local hypoplasticity. Mechanics Research Communications 31(3), 341–354 (2004)
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Lin, J., Wu, W. (2013). FEM Implementation of Micropolar Hypoplastic Model. In: Yang, Q., Zhang, JM., Zheng, H., Yao, Y. (eds) Constitutive Modeling of Geomaterials. Springer Series in Geomechanics and Geoengineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32814-5_5
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DOI: https://doi.org/10.1007/978-3-642-32814-5_5
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