[1] Chircop A. Climate change and the prospects of increased navigation in the Canadian Arctic[J]. Journal of Maritime Affairs, 2007, 6(2):193-205.
[2] Bhat S U. Modeling of size effect in ice mechanics using fractal con-cepts[J]. Journal of Offshore Mechanics and Arctic Engineering, 1990, 112(4):370-376.
[3] Derradji-Aouat A, Sinha N K, Evgin E. Mathematical modeling of monotonic and cyclic behavior of fresh water columnar grained S-2 ice[J]. Cold Regions Science and Technology, 2000, 31(1):59-81.
[4] Gagnon R E, Wang J. Numerical simulations of a tanker collision with a bergy bit incorporating hydrodynamics, a validated ice model and damage to the vessel[J]. Cold Regions Science and Technology, 2012, 81:26-35.
[5] 张健, 万正权, 陈聪. 船-冰碰撞载荷下球鼻艏结构动态响应研究[J]. 船舶力学, 2014, 18(1-2):106-114. Zhang Jian, Wan Zhengquan, Chen Cong. Research on structure dynam-ic response of bulbous bow in ship-ice collision load[J]. Journal of Ship Mechanics, 2014, 18(1-2):106-114.
[6] Lau M, Lawrence K P, Rothenburg L. Discrete element analysis of ice loads on ships and structures[J]. Ships and Offshore Structures, 2011, 6(3):211-221.
[7] 李紫麟, 刘煜, 孙珊珊, 等. 船舶在碎冰区航行的离散元模型及冰载荷分析[J]. 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[J]. Chinese Journal of Theoretical and Applied Me-chanics, 2013, 45(6):868-877.
[8] Kuutti J, Kolari K, Marjavaara P. Simulation of ice crushing experi-ments with cohesive surface methodology[J]. Cold Regions Science and Technology, 2013, 92:17-28.
[9] Lu W, Lubbad R, Løset S. Simulating ice-sloping structure interactions with the cohesive element method[J]. Journal of Offshore Mechanics and Arctic Engineering, 2014, 136(3):031501.
[10] Potyondy D O, Cundall P A. A bonded-particle model for rock[J]. In-ternational Journal of Rock Mechanics and Mining Sciences, 2004, 41(8):1329-1364.
[11] 徐泳, 孙其诚, 张凌, 等. 颗粒离散元法研究进展[J]. 力学进展, 2003, 33(2):251-260. Xu Yong, Sun Qicheng, Zhang Ling, et al. Advances in discrete ele-ment methods for particulate materials[J]. Advances in Mechanics, 2003, 33(2):251-260.
[12] 季顺迎, 李春花, 刘煜. 海冰离散元模型的研究回顾及展望[J]. 极地研究, 2012, 24(4):315-329. Ji Shunying, Li Chunhua, Liu Yu. A review of advances in sea-ice dis-crete element models[J]. Chinese Journal of Polar Research, 2012, 24(4):315-329.
[13] 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[J]. 工程力学, 2013, 30(1):463-469. Ji Shunying, Di Shaocheng, Li Zheng, et al. Discrete element model-ling of interaction between sea ice and vertical offshore structures[J]. Engineering Mechanics, 2013, 30(1):463-469.
[14] Hopkins M A, Frankenstein S, Thorndike A S. Formation of an aggre-gate scale in Arctic sea ice[J]. Journal of Geophysical Research, 2004, 109:1-10.
[15] Sun S, Shen H H. Simulation of pancake ice load on a circular cylin-der in a wave and current field[J]. Cold Regions Science and Technolo-gy, 2012, 78:31-39.
[16] Polojärvi A, Tuhkuri J. Velocity effects in laboratory scale punch through experiments[J]. Cold Regions Science and Technology, 2012, 70:81-93.
[17] Galindo-Torres S A. A coupled Discrete Element Lattice Boltzmann Method for the simulation of fluid-solid interaction with particles of general shapes[J]. Computer Methods in Applied Mechanics and Engi-neering, 2013, 265:107-119.
[18] Li W, McMains S. A sweep and translate algorithm for computing vox-elized 3D Minkowski sums on the GPU[J]. Computer-Aided Design, 2014, 46:90-100.
[19] 李春花, 王永学, 李志军, 等. 半圆型防波堤前海冰堆积模拟[J]. 海洋学报, 2006, 28(4):172-177. Li Chunhua, Wang Yongxue, Li Zhijun, et al. The simulation sea-ice climb-up and pile-up process on semicircle breakwater[J]. Acta Oceanologica Sinica, 2006, 28(4):172-177.
[20] 王宇新, 张弛, 狄少丞, 等. 海冰与海洋平台碰撞分析中的可视化方法[J]. 计算机辅助工程, 2016, 25(1):55-67. Wang Yuxin, Zhang Chi, Di Shaocheng, et al. Visualization method for analysis on collision between sea ice and offshore platform[J]. Com-puter Aided Engineering, 2016, 25(1):55-67.
[21] Ji Shunying, Di Shaocheng, Liu Shewen. Analysis of ice load on coni-cal structure with discrete element method[J]. Engineering Computa-tions, 2015, 32(4):1121-1134.
[22] 刘璐, 龙雪, 季顺迎. 基于扩展多面体的离散单元法及其作用于圆桩的冰载荷计算[J]. 力学学报, 2015, 47(6):1047-1057. Liu Lu, Long Xue, Ji Shunying. Dilated polyhedra based discrete ele-ment method and its application of ice load on cylindrical pile[J]. Chi-nese Journal of Theoretical and Applied Mechanics, 2015, 47(6):1047-1057.
[23] Ji Shunying, Li Zilin, Li Chunhua, Shang Jie. Discrete element model-ing of ice loads on ship hulls in broken ice fields[J]. Acta Oceaologica Sinica, 2013, 32(11):50-58.
[24] Ji Shunying, Wang Anliang, Su Jie. Experimental studies on elastic modulusand flexural strength of sea ice in the Bohai sea[J]. Journal of Cold Regions Engineering, 2011, 25(4):182-195
[25] 王帅霖, 狄少丞, 季顺迎. 多桩锥体海洋平台结构冰荷载遮蔽效应离散元分析[J]. 海洋工程, 2016, 34(2):1-9. Wang Shuailin, Di Shaocheng, Ji Shunying. Discrete element analysis of shadowing effect of ice load on multi-leg conical offshore platform structure[J]. The Ocean Engineering, 2016, 34(2):1-9.
[26] 邵帅, 周国丰, 王帅霖, 等. 基于离散元-有限元模型的冰激锥体海洋平台结构振动分析[J]. 计算力学学报, 2015, 32(5):662-667. Shao Shuai, Zhou Guofeng, Wang Shuailin, et al. Ice induced vibra-tion of concial offshore platform structure based on discrete element model-finite element model[J]. Chinese Journal of Computational Me-chanics, 2015, 32(5):662-667.
[27] 狄少丞, 季顺迎. 海冰与自升式海洋平台相互作用GPU离散元模拟[J]. 力学学报, 2014, 46(4):561-571. Di Shaocheng, Ji Shunying. GPU-based discrete element modelling of interaction between sea ice and jack-up platform structure[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(4):561-571.