Summary
The extended abstract provides the initial derivation of the coupling via an overlapped region of elastic glued circular disk discrete elements with simplified interparticle elastic constitutive relations, and a micropolar continuum finite element formulation reduced by Timoshenko beam kinematics including axial stretch. This one-dimensional form of the model provides a simple model problem from which to investigate the coupling between axial, transverse, and rotational degrees of a discrete disk representation and a micropolar continuum model of a string of elastic glued circular grains
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Regueiro, R.A., Yan, B.: Concurrent multiscale computational modeling for dense dry granular materials Interfacing deformable solid. In: Wan, R., Alsaleh, M., Labuz, J. (eds.) Bifurcations, Instabilities and Degradations in Geomaterials, pp. 251–273. Springer, Berlin (2011)
Wagner, G.J., Liu, W.K.: Coupling of atomistic and continuum simulations using a bridging scale decomposition. J. Comput. Phys. 190(1), 249–274 (2003)
Klein, P.A., Zimmerman, J.A.: Coupled atomistic-continuum simulations using arbitrary overlapping domains. J. Comput. Phys. 213(1), 86–116 (2006)
Yan, B., Regueiro, R.A., Sture, S.: Three dimensional discrete element modeling of granular materials and its coupling with finite element facets. Eng. Comput. 27(4), 519–550 (2010)
Eringen, A.C.: Theory of micropolar elasticity. In: Liebowitz, H. (ed.) Fracture, An Advanced Treatise, pp. 622–729. Academic Press, New York (1968)
Pinsky, P.M.: Finite element structural analysis, Course Notes, Stanford University
Regueiro, R.A.: Finite strain micromorphic pressure-sensitive plasticity. J. Eng. Mech. 135, 178–191 (2009)
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Regueiro, R.A., Yan, B. (2011). COUPLING DISCRETE ELEMENTS AND MICROPOLAR CONTINUUM THROUGH AN OVERLAPPING REGION IN ONE DIMENSION. In: Borja, R.I. (eds) Multiscale and Multiphysics Processes in Geomechanics. Springer Series in Geomechanics and Geoengineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19630-0_11
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DOI: https://doi.org/10.1007/978-3-642-19630-0_11
Publisher Name: Springer, Berlin, Heidelberg
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