×

zbMATH — the first resource for mathematics

Interaction between floater and sea ice simulated with dilated polyhedral DEM. (English) Zbl 07013285
Li, Xikui (ed.) et al., Proceedings of the 7th international conference on discrete element methods, DEM 7, Dalian, China, August 1–4, 2016. In 2 volumes. Singapore: Springer (ISBN 978-981-10-1925-8/hbk; 978-981-10-1926-5/ebook). Springer Proceedings in Physics 188, 1065-1074 (2017).
Summary: The polyhedral discrete element method with polyhedral elements is developed to simulate the interaction between ice floes and offshore structure. The dilated polyhedral elements are constructed by Minkowski sum theory and Voronoi tessellation algorithm. The normalized Hertz contact force model is introduced to calculate the contact force considering the various contact modes between dilated polyhedral elements. Then a bonding-failure model between bonded elements with the elastic force, which acts on the shared common plane between contacted elements, is adopted to simulate the breaking process of level ice. Meanwhile, the buoyancy and buoyancy moment, the drag force and drag moment on the ice floes are calculated by meshing every polyhedral element as tetrahedrons. Considering different ice thickness, floe concentration, floe size, etc., the ice load on offshore structure is simulated by this polyhedral DEM. In the simulations the offshore structure model is generated analogously as a rigid body. Finally the sensitive analysis of ice load on structure is performed based on the DEM simulations.
For the entire collection see [Zbl 1361.00015].
MSC:
74 Mechanics of deformable solids
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Potyondy, D.O., Cundall, P.A.: A bonded-particle model for rock. Int. J. Rock Mech. Min. Sci. 41(8), 1329-1364 (2004)
[2] Lu, G., Third, J.R., Müller, C.R.: Discrete element models for non-spherical particle systems: from theoretical developments to applications. Chem. Eng. Sci. 127, 425-465 (2015)
[3] Feng, Y.T., Owen, D.R.J.: An energy based corner to corner contact algorithm. In: 3rd International Conference on Discrete Element Method, Santa Fe, New Mexico, USA, pp. 25-29 (2002)
[4] Govender, N., Wilke, D.N., Kok, S., et al.: Development of a convex polyhedral discrete element simulation framework for NVIDIA Kepler based GPUs. J. Comput. Appl. Math. 270, 386-400 (2014) · Zbl 1329.65336
[5] Mollon, G., Zhao, J.: Fourier-Voronoi-based generation of realistic samples for discrete modelling of granular materials. Granular Matter 14(5), 621-638 (2012)
[6] Pournin, L., Liebling, T.: A generalization of distinct element method to tridimensional particles with complex shapes. Powders and Grains 2005, pp. 1375-1478. Balkema, Leiden (2005)
[7] Alonso-Marroquín, F., Wang, Y.: An efficient algorithm for granular dynamics simulations with complex-shaped objects. Granular Matter 11(5), 317-329 (2009) · Zbl 1258.74208
[8] Galindo-Torres, S.A., Pedroso, D.M.: Molecular dynamics simulations of complex-shaped particles using Voronoi-based spheropolyhedra. Phys. Rev. E 81, 061303 (2010)
[9] Shen, H.H., Hibler, W.D., Leppäranta, M.: On applying granular flow theory to a deforming broken ice field. Acta Mech. 63(1), 143-160 (1986)
[10] Hopkins, M.A.: Discrete element modeling with dilated particles. Eng. Comput. 21(2/3/4), 422-430 (2004) · Zbl 1062.74655
[11] Lubbad, R., Løset, S.: A numerical model for real-time simulation of ship-ice interaction. Cold Reg. Sci. Technol. 65(2), 111-127 (2011)
[12] Lu, W., Lubbad, R., Løset, S.: Simulating ice-sloping structure interactions with the cohesive element method. J. Offshore Mech. Arct. Eng. 136(3), 519-528 (2014)
[13] Kremmer, M., Favier, J.F.: A method for representing boundaries in discrete element modelling—Part I: Geometry and contact detection. Int. J. Numer. Meth. Eng. 51(12), 1407-1421 (2001) · Zbl 1065.74636
[14] Puttock, M.J., Thwaite, E.G.: Elastic Compression of Spheres and Cylinders at Point and Line Contact. Commonwealth Scientific and Industrial Research Organization, Melbourne (1969)
[15] Pereira, C.M., Ramalho, A.L., Ambrósio, J.A.: A critical overview of internal and external cylinder contact force models. Nonlinear Dyn. 63, 681-697 (2011)
[16] Lankarani, H.M., Nikravesh, P.E.: Continuous contact force models for impact analysis in multibody systems. Nonlinear Dyn. 5(2), 193-207 (1994)
[17] Popov, V.L.: Contact Mechanics and Friction: Physical Principles and Applications. Springer, Berlin (2010) · Zbl 1193.74001
[18] Wang, J., Derradji-Aouat, A.: Numerical assessment for stationary structure (Kulluk) in moving broken ice. In: Proceedings of the 21st International Conference on Port and Ocean Engineering under Arctic Conditions, Montréal, Canada (2011)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.