Numerical Simulation of Out-of-Plane Compression of Honeycomb Paperboard Based on Multiple Folding Element Theory
摘 要
通过原纸拉伸试验获取蜂窝纸板的材料参数,建立蜂窝纸板的有限元简化模型(Y单元模型),采用有限元方法对该模型进行准静态加速压缩模拟,并与蜂窝纸板的面外准静态压缩试验结果进行对比;采用该模拟方法研究蜂窝孔边长、纸板厚度和胞壁厚度对Y单元折叠模式的影响。结果表明:Y单元模型经准静态加速压缩模拟得到的形貌与试验结果相吻合,压缩应力-应变曲线中平台应力的模拟结果与试验结果的相对误差为3.87%,验证了该模型的可靠性;不同规格的Y单元模型在压缩后共出现3种折叠模式,蜂窝孔边长和纸板厚度是影响Y单元折叠模式的2个关键因素。1/2蜂窝孔边长与一次折叠褶皱波长的比值会影响Y单元的一次折叠模式,而双层胞壁与单层胞壁的厚度差是导致多折叠模式发生的主要原因。
Abstract
The material parameters of honeycomb paperboard were obtained by tensile test of base paper, and a simplified finite element model (Y-element model) of paper honeycomb was established. The model was subjected to quasi-static accelerated compression simulation by the finite element method, and the simulation was compared with the out-of-plane quasi-static compression test results of honeycomb paperboard. The effect of honeycomb cell wall width, paperboard thickness and cell wall thickness on the folding mode of Y element was studied by the simulation method. The results show that the morphology of the Y-element model obtained by quasi-static acceleration compression simulation was consistent with the test results; the relative error between the simulated and tested plateau stress in the compressive stress-strain curve was 3.87%, which verified the reliability of the model. The Y-element model with different specifications showed three folding modes after compression. The honeycomb cell wall width and paperboard thickness were the two key factors affecting the folding mode of Y element. The ratio of half of honeycomb cell wall width to the wavelength of a single fold affected the one-folding mode of Y element, and the thickness difference between the double-layer cell wall and the single-layer cell wall was the main reason for the occurrence of multiple folding modes.
中图分类号 TB484.1 TB485.3 DOI doi: 10.11973/jxgccl202303014
所属栏目 物理模拟与数值模拟
基金项目 江苏省自然科学基金资助项目(BK20151128)
收稿日期 2022/2/22
修改稿日期 2023/2/13
网络出版日期
作者单位点击查看
备注顾卓青(1997—),女,江苏扬州人,硕士研究生
引用该论文: GU Zhuoqing,WANG Jun. Numerical Simulation of Out-of-Plane Compression of Honeycomb Paperboard Based on Multiple Folding Element Theory[J]. Materials for mechancial engineering, 2023, 47(3): 78~84
顾卓青,王军. 基于多折叠单元理论的蜂窝纸板面外压缩数值模拟[J]. 机械工程材料, 2023, 47(3): 78~84
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参考文献
【1】蔡茂,高群,宗志坚.铝合金蜂窝结构轴向压缩吸能特性[J].材料科学与工程学报,2015,33(5):675-679. CAI M,GAO Q,ZONG Z J.Energy absorption properties of honeycomb structured aluminum under axial compression[J].Journal of Materials Science and Engineering,2015,33(5):675-679.
【2】王行宁,郭彦峰,付云岗,等.纸瓦楞-蜂窝复合夹层结构的静态缓冲性能研究[J].实验力学,2019,34(5):853-863. WANG X N,GUO Y F,FU Y G,et al.Cushioning performance of composite sandwich structures with paper corrugation and honeycomb cores under static compression[J].Journal of Experimental Mechanics,2019,34(5):853-863.
【3】张剑军,刘建军,韩笑.蜂窝夹层结构复合材料及其研究进展[J].化工新型材料,2021,49(12):253-258. ZHANG J J,LIU J J,HAN X.Honeycomb sandwich composite and research progress[J].New Chemical Materials,2021,49(12):253-258.
【4】鄂玉萍.湿度和应变率对纸质缓冲材料能量吸收特性的影响[D].无锡:江南大学,2010. E Y P.Influence of relative humidity and strain rate on the energy absorption properties of paper-based cushioning materials[D].Wuxi:Jiangnan University,2010.
【5】彭键林.蜂窝纸板力学性能分析研究[D].昆明:昆明理工大学,2008. PENG J L.Analysis and research on mechanical properties of honeycomb paperboard[D].Kunming:Kunming University of Science and Technology,2008.
【6】郭彦峰,辛成龙,许文才,等.蜂窝纸板结构平压性能有限元分析[J].包装工程,2009,30(1):34-35. GUO Y F,XIN C L,XU W C,et al.Finite element analysis on flat crush property of honeycomb paperboard structure[J].Packaging Engineering,2009,30(1):34-35.
【7】WANG D M,LIANG N,GUO Y F.Finite element analysis on the out-of-plane compression for paper honeycomb[J].The Journal of Strain Analysis for Engineering Design,2019,54(1):36-43.
【8】THOMAS T,TIWARI G.Crushing behavior of honeycomb structure:A review[J].International Journal of Crashworthiness,2019,24(5):555-579.
【9】WIERZBICKI T.Crushing analysis of metal honeycombs[J].International Journal of Impact Engineering,1983,1(2):157-174.
【10】ZHANG X,CHENG G D,ZHANG H.Theoretical prediction and numerical simulation of multi-cell square thin-walled structures[J].Thin-Walled Structures,2006,44(11):1185-1191.
【11】LUO Y H,FAN H L.Energy absorbing ability of rectangular self-similar multi-cell sandwich-walled tubular structures[J].Thin-Walled Structures,2018,124:88-97.
【12】MALEKSHAHI A,SHIRAZI K H,SHISHESAZ M,et al.A novel theoretical approach for estimation of axial crushing behavior of polygonal hollow sections[J].International Journal of Applied Mechanics,2020,12(1):2050008.
【13】YIN H F,WEN G L.Theoretical prediction and numerical simulation of honeycomb structures with various cell specifications under axial loading[J].International Journal of Mechanics and Materials in Design,2011,7(4):253-263.
【14】ZHANG X,ZHANG H.Numerical and theoretical studies on energy absorption of three-panel angle elements[J].International Journal of Impact Engineering,2012,46:23-40.
【15】ZHANG X,ZHANG H.The crush resistance of four-panel angle elements[J].International Journal of Impact Engineering,2015,78:81-97.
【16】SANTOSA S P,WIERZBICKI T,HANSSEN A G,et al.Experimental and numerical studies of foam-filled sections[J].International Journal of Impact Engineering,2000,24(5):509-534.
【2】王行宁,郭彦峰,付云岗,等.纸瓦楞-蜂窝复合夹层结构的静态缓冲性能研究[J].实验力学,2019,34(5):853-863. WANG X N,GUO Y F,FU Y G,et al.Cushioning performance of composite sandwich structures with paper corrugation and honeycomb cores under static compression[J].Journal of Experimental Mechanics,2019,34(5):853-863.
【3】张剑军,刘建军,韩笑.蜂窝夹层结构复合材料及其研究进展[J].化工新型材料,2021,49(12):253-258. ZHANG J J,LIU J J,HAN X.Honeycomb sandwich composite and research progress[J].New Chemical Materials,2021,49(12):253-258.
【4】鄂玉萍.湿度和应变率对纸质缓冲材料能量吸收特性的影响[D].无锡:江南大学,2010. E Y P.Influence of relative humidity and strain rate on the energy absorption properties of paper-based cushioning materials[D].Wuxi:Jiangnan University,2010.
【5】彭键林.蜂窝纸板力学性能分析研究[D].昆明:昆明理工大学,2008. PENG J L.Analysis and research on mechanical properties of honeycomb paperboard[D].Kunming:Kunming University of Science and Technology,2008.
【6】郭彦峰,辛成龙,许文才,等.蜂窝纸板结构平压性能有限元分析[J].包装工程,2009,30(1):34-35. GUO Y F,XIN C L,XU W C,et al.Finite element analysis on flat crush property of honeycomb paperboard structure[J].Packaging Engineering,2009,30(1):34-35.
【7】WANG D M,LIANG N,GUO Y F.Finite element analysis on the out-of-plane compression for paper honeycomb[J].The Journal of Strain Analysis for Engineering Design,2019,54(1):36-43.
【8】THOMAS T,TIWARI G.Crushing behavior of honeycomb structure:A review[J].International Journal of Crashworthiness,2019,24(5):555-579.
【9】WIERZBICKI T.Crushing analysis of metal honeycombs[J].International Journal of Impact Engineering,1983,1(2):157-174.
【10】ZHANG X,CHENG G D,ZHANG H.Theoretical prediction and numerical simulation of multi-cell square thin-walled structures[J].Thin-Walled Structures,2006,44(11):1185-1191.
【11】LUO Y H,FAN H L.Energy absorbing ability of rectangular self-similar multi-cell sandwich-walled tubular structures[J].Thin-Walled Structures,2018,124:88-97.
【12】MALEKSHAHI A,SHIRAZI K H,SHISHESAZ M,et al.A novel theoretical approach for estimation of axial crushing behavior of polygonal hollow sections[J].International Journal of Applied Mechanics,2020,12(1):2050008.
【13】YIN H F,WEN G L.Theoretical prediction and numerical simulation of honeycomb structures with various cell specifications under axial loading[J].International Journal of Mechanics and Materials in Design,2011,7(4):253-263.
【14】ZHANG X,ZHANG H.Numerical and theoretical studies on energy absorption of three-panel angle elements[J].International Journal of Impact Engineering,2012,46:23-40.
【15】ZHANG X,ZHANG H.The crush resistance of four-panel angle elements[J].International Journal of Impact Engineering,2015,78:81-97.
【16】SANTOSA S P,WIERZBICKI T,HANSSEN A G,et al.Experimental and numerical studies of foam-filled sections[J].International Journal of Impact Engineering,2000,24(5):509-534.
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