DILATED POLYHEDRA BASED DISCRETE ELEMENT METHOD AND ITS APPLICATION OF ICE LOAD ON CYLINDRICAL PILE

Liu Lu; Long Xue; Ji Shunying

doi:10.6052/0459-1879-15-121

Volume 47 Issue 6

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Chinese Journal of Theoretical and Applied Mechanics > 2015 > 47(6): 1046-1057. > DOI: 10.6052/0459-1879-15-121

Liu Lu, Long Xue, Ji Shunying. DILATED POLYHEDRA BASED DISCRETE ELEMENT METHOD AND ITS APPLICATION OF ICE LOAD ON CYLINDRICAL PILE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(6): 1046-1057. DOI: 10.6052/0459-1879-15-121

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DILATED POLYHEDRA BASED DISCRETE ELEMENT METHOD AND ITS APPLICATION OF ICE LOAD ON CYLINDRICAL PILE

State Key Laboratory of Structure Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China

Funds: The project was supported by the Special Funding for National Marine Commonwealth Industry of China (201105016, 201205007) and the National Natural Science Foundation of China (41176012, 11372067).

Received Date: April 09, 2015
Revised Date: August 30, 2015

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Abstract

With the polyhedron elements with complex geometric shapes, the linear contact force model cannot precisely obtain the contact force and its direction and the contact deformation under various contact patterns. Due that dilated polyhedral element can be generated with superposing one dilating sphere on the surface of one basic polyhedron in the Minkowski sum theory to construct the geometric shape of irregular particle accurately, and then its contact detection between particles can be calculated easily, considering di erent contact patterns between vertices, edges and planes of the dilated polyhedral elements, a unified nonlinear viscoelastic contact force model is developed. In this model, the equivalent radius of curvature is introduced to calculate the elastic contact sti ness in normal direction. Meanwhile, the viscous force and the elastic force in tangential direction are simplified based on the contact force model of spherical element. To simulate the sea ice floes in broken ice region, the sea ice elements are generated randomly with the Voronoi tessellation algorithm. The ice loads on a vertical cylinder pile are simulated with the dilated polyhedral elements considering the buoyancy and drag forces of current. Moreover, the influences of ice velocity and ice floe size on the ice of pile are determined, and the distribution of ice load around the cylindrical pile is obtained. Finally, the limitation of the present dilated polyhedral element and its further modification are discussed.
- discrete element method(DEM),
- dilated polyhedral element,
- Minkowski sum,
- Voronoi tessellation algorithm,
- ice load

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Cundall P, Strack O. A discrete numerical model for granular assemblies. Geotechnique, 1979, 29: 47-65

徐泳,孙其成,张凌等. 颗粒离散元法研究进展. 力学进展,2003,33(2): 251-259 (Xu Yong, Sun Qicheng, Zhang Ling, et al. Advances in discrete element methods for particlulate materials. Advances in Mechanics, 2003, 33(2): 251-259 (in Chinese))

孙其成,王光谦. 颗粒流动力学及其离散模型评述. 力学进展,2008,38(2): 87-100 (Sun Qicheng, Wang Guangqian. Review on granular flow dynamics and its discrete element method. Advances in Mechanics, 2008,38(2): 87-100 (in Chinese))

Zhou Y. A theoretical model of collision between soft-spheres with Hertz elastic loading and nonlinear plastic unloading. Theoretical & Applied Mechanics Letters, 2011, 4: 041006

Zhu HP, Yu AB. A theoretical analysis of the force models in discrete element method. Powder Technology, 2006, 161: 122-129

Jiang MJ, Yu HS, Harris D. A novel discrete model for granular material incorporating rolling resistance. Computers and Geotechnics, 2005, 32: 340-357

Cleary PW. Industrial particle flow modeling using discrete element method. Engineering Computations, 2009, 26(6): 698-743

Boon CW, Houlsby GT, Utili S. A new algorithm for contact detection between convex polygonal and polyhedral particles in the discrete element method. Computers and Geotechnics, 2012, 44: 73-82

Ferellec JF, McDowell GR. A method to model realistic particle shape and inertia in DEM. Granular Matter, 2010, 12(5): 459-467

严颖,季顺迎. 碎石料直剪实验的组合颗粒单元数值模拟. 应用力学学报,2009, 26(1): 1-6 (Yan Ying, Ji Shunying. Numerical simulation of direct shear test for rubbles with clumped particles. Chinese Journal of Applied Mechanics, 2009, 26(1): 1-6 (in Chinese))

Hopkins MA, Tuhkuri J. Compression of floating ice fields. Journal of Geophysical Research, 1999, 104(C7): 15815-15825

Polojärvi A, Tuhkuri J. On modeling cohesive ridge keel punch through tests with a combined finite-discrete element method. Cold Regions Science and Technology, 2013, 85: 191-205

周伟,刘东,马刚等. 基于随机散粒体模型的堆石体真三轴数值试验研究. 岩土工程学报,2012,34(4): 748-755 (Zhou Wei, Liu Dong, Ma Gang, et al. Numerical simulation of true triaxial tests on mechanical behaviors of rockfill based on stochastic granule model. Chinese Journal of Geotechnical Engineering, 2012, 34(4): 748-755 (in Chinese))

王杰,李世海,周东等. 模拟岩石破裂过程的块体单元离散弹簧模型. 岩土力学,2013,34(8): 2355-2362 (Wang Jie, Li Shihai, Zhou Dong, et al. A block-discrete-spring model to simulate failure process of rock. Rock and Soil Mechanics, 2013, 34(8): 2355-2362 (in Chinese))

金峰, 胡卫, 张冲等. 考虑弹塑性本构的三维模态变形体离散元方法断裂模拟. 工程力学, 2011, 28(5): 1-7 (Jin Feng, Hu Wei, Zhang Chong, et al. A fracture simulation using 3-D mode distinct element method (3MDEM) with elastoplastic constitutive model. Engineering Mechanics, 2011, 28(5): 1-7 (in Chinese))

Hopkins MA. Discrete element modeling with dilated particles. Engineering Computations, 2004, 21: 422-430

Hopkins MA, Shen HH. Simulation of pancake-ice dynamics in a wave field. Annals of Glaciology, 2001, 33: 355-360

Galindo-Torres SA, Pedroso DM, Williams DJ, et al. Breaking processes in three-dimensional bonded granular materials with general shapes. Computer Physics Communications, 2012, 183: 266-277

Galindo-Torres SA. A coupled discrete element Lattice Boltzmann method for the simulation of fluid-solid interaction with particles of general shapes. Comput Methods Appl. Mech. Engrg, 2013, 265: 107-119

Galindo-Torres SA, Pedroso DM. Molecular dynamics simulations of complex-shaped particles using Voronoi-based spheropolyhedra. Physical Review E, 2010, 81: 061303

季顺迎, 李春花, 刘煜. 海冰离散元模型的研究回顾及展望. 极地研究, 2012, 24(4):315-329 (Ji Shunying, Li Chunhua, Liu Yu. A review of advances in sea ice discrete element model. Chinese Journal of Polar Research, 2012, 24(4): 315-329 (in Chinese))

季顺迎,狄少丞,李正等. 海冰与直立结构相互作用的离散单元数值模拟. 工程力学,2013,30(1):463-469 (Ji Shunying, Di Shaocheng, Li Zheng, et al. Discrete element modelling of interaction between sea ice and vertical offshore structures. Engineering Mechanics, 2013, 30(1): 463-469 (in Chinese))

Sun S, Shen HH. Simulation of pancake ice load on a circular cylinder in a wave and current field. Cold Regions Science and Technology, 2012, 78: 31-39

李紫麟,刘煜,孙珊珊等. 船舶在碎冰区航行的离散元模拟及冰载荷分析. 力学学报,2013, 45(6): 868-877 (Li Zilin, Liu Yu, Sun Shanshan, et al. Analysis of ship maneuvering performances and ice loads on ship hull with discrete element model in broken-ice fields. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(6): 868-877 (in Chinese))

Polojärvi A, Tuhkuri J. 3D discrete numerical modelling of ridge keel punch through tests. Cold Region Science and Technology, 2009, 56(1): 18-29

Lau M, Lawrence KP, Rothenburg L. Discrete element analysis of ice loads on ships and structures. Ships and Offshore Structures, 2011, 6(3): 211-221

Lu W, Lubbad R, Loset S. Simulationg ice-sloping structure interactions with the cohesive element method. Journal of Offshore Mechanics and Arctic Engineering, 2014, 136: 031501

Teissandier D, Vincent D. Algorithm to calculate the Minkowski sums of 3-polytopes based on normal fans. Computer-Aided Design, 2011, 43: 1567-1576

Li W, McMains S. A sweep and translate algorithm for computing voxelized 3D Minkowski sums on the GPU. Computer-Aided Design, 2014, 46: 90-100

Ji S, Shen HH. Effect of contact force models on granular flow dynamics. Journal of Engineering Mechanics, 2006, 132(11): 1252-1259

季顺迎, Shen Hayley. 颗粒介质在类固-液相变过程中的时空参数特性. 科学通报, 2006, 51(3): 255-262 (Ji Shunying, Shen Hayley. Characteristics of temporal-spatial parameter in quasi-solid-fluid phase transition of granular material. Chinese Science Bulletin, 2006, 51(3): 255-262 (in Chinese))

Ji S, Shen HH. Internal parameters and regime map for soft poly-dispersed granular materials. Journal of Rheology, 2008, 52(1): 87-103

Ramírez R, Pöschel T, Brilliantov NV, et al. Coefficient of restitution of colliding viscoelastic spheres. Physical Review E, 1999, 60(4): 4465-4472

Shen HH, Sankaran B. Internal length and time scales in a simple shear granular flow. Physical Review E, 2004, 70: 051308

Campbell C. Granular shear flows at the elastic limit. J Fluid Mech, 2002, 465: 261-291

Kremmer M, Favier JF. A method for representing boundaries in discrete element modelling-part I: Geometry and contact detection. International Journal for Numerical Methods in Engineering, 2001, 51: 1407-1421

Puttock MJ, Thwaite EG. Elastic Compression of Spheres and Cylinders at Point and Line Contact. Melbourne: Commonwealth Scientific and Industrial Research Organization, 1969: 6-44

Popov VL. Contact Mechanics and Friction: Physical Principles and Applications. Berlin: Springer-Verlag, 2010

Hunt KH, Crossley FRE. Coefficient of restitution interpreted as damping in vibroimpact. Journal of Applied Mechanics, 1975, 7: 440-445

Pereira CM, Ramalho AL, Ambrósio JA. A critical overview of internal and external cylinder contact force models. Nonlinear Dynamics, 2011, 63: 681-697

Lankarani HM, Nikravesh PE. Continuous contact force model for impact analysis in multibody systems. Nonlinear Dynamics, 1994, 5: 193-207

Slotterback S, Toiya M, Goff L, et al. Correlation between particle motion and Voronoi-Cell-Shape fluctuations during the compaction of granular matter. Physical Review Letters, 2008, 101: 258001

Lee I, Lee K, Torpelund-Bruin C. Voronoi image segmentation and its applications to geoinformatics. Journal of Computers, 2009, 4(11): 1101-1108

Mollon G, Zhao J. Fourier-Voronoi-based generation of realistic samples for discrete modelling of granular materials. Granular Matter, 2012, 14: 621-638

Ji S, Wang A, Su J, e al. Experimental studies on elastic modulus and flexural strength of sea ice in the Bohai sea. Journal of Cold Regions Engineering, 2011, 25(4): 182-195

Ji S, Di S, Liu S. Analysis of ice load on conical structure with discrete element method. Engineering Computations, 2015, 32(4): 1121-1134

Polojärvi A, Tuhkuri J. On modeling cohesive ridge keel punch through tests with a combined finite-discrete element method. Cold Regions Science and Technology, 2013, 85: 191-205

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