3D打印TPMS多孔材料力学性能数值仿真
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摘要
基于三周期极小化曲面(triply periodic minimal surface,TPMS)理论,设计了不同相对体积占比的螺旋二十四面体单胞模型以及拓扑模型,并通过有限元仿真软件计算了不同冲击速度下结构的力学响应,对其应力分布、力-位移曲线、承载能力、吸能效率等方面进行了分析和探讨。数值模拟结果表明,TPMS拓扑结构多孔模型具有优秀的吸能性能,相对体积和冲击速率的提升均会导致结构吸能总量及效率的升高;并且在相同条件下,多胞体的吸能效率较单胞有所提升。同时该结构在受到冲击载荷时应力分布均匀,不易产生应力集中现象;其承载能力随着相对体积分数的增加有明显的提升;结构表现出一定的应变率敏感性,高应变率下结构的坍塌力和平台力有显著提高。研究结果为多孔材料工程产品优化设计提供了相关依据。
On the basis of the triply periodic minimal surfaces(TPMS),some gyroid unit cell models with different relative volume percentages and the corresponding topology models were designed.The mechanical responses under different impact velocity were calculated through finite element simulation software.In addition,the stress distribution,force-distance curves,loadbearing capacity and energy absorption efficiency were analyzed and discussed.The numerical simulation results demonstrate that the TPMS porous structure had excellent energy absorption properties.The increase of relative volume and impact velocity could improve energy absorption capacity and efficiency.And under the same conditions,the energy absorption efficiency of topology model was superior to that of the corresponding unit cell.Meanwhile,it was not prone to produce stress concentration because of its uniform stress distribution.With the increase of the relative volume,the load-bearing capacity of the structure was improved obviously.The structure showed certain strain rate sensitivity,and the collapse force and platform force of the structure were significantly improved under high strain rate.The research results provide relevant basis for the optimization design of engineering products.
On the basis of the triply periodic minimal surfaces(TPMS),some gyroid unit cell models with different relative volume percentages and the corresponding topology models were designed.The mechanical responses under different impact velocity were calculated through finite element simulation software.In addition,the stress distribution,force-distance curves,loadbearing capacity and energy absorption efficiency were analyzed and discussed.The numerical simulation results demonstrate that the TPMS porous structure had excellent energy absorption properties.The increase of relative volume and impact velocity could improve energy absorption capacity and efficiency.And under the same conditions,the energy absorption efficiency of topology model was superior to that of the corresponding unit cell.Meanwhile,it was not prone to produce stress concentration because of its uniform stress distribution.With the increase of the relative volume,the load-bearing capacity of the structure was improved obviously.The structure showed certain strain rate sensitivity,and the collapse force and platform force of the structure were significantly improved under high strain rate.The research results provide relevant basis for the optimization design of engineering products.
引文
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[2]李雪艳,李志斌,张舵.闭孔泡沫铝准静态压剪性能研究[J].高压物理学报,2018,32(3):1-8.LI X Y,LI Z B,ZHANG D.Mechanical behaviors of closed-cell aluminum foams under quasi-static compression-shear loads[J].Chinese Journal of High Pressure Physics,2018,32(3):1-8.
[3]朱震刚.金属泡沫材料研究[J].物理,1999,28(2):84-88.ZHU Z G.Metallic foam materials[J].Physics,1999,28(2):84-88.
[4]ROBERTS A,GARBOCZI E.Elastic moduli of model random three-dimensioanl closed-cell cellular solids[J].Acta Materialia,2001,49(2):189-197.
[5]YOO D J.New paradigms in cellular material design and fabrication[J].International Journal of Precision Engineering and Manufacturing,2015,16(12):2577-2589.
[6]KAPFER S C,HYDE S T,MECKE K,et al.Minimal surface scaffold designs for tissue engineering[J].Biomaterials,2011,32(29):6875-6882.
[7]YOO D J.Heterogeneous minimal surface porous scaffold design using the distance field and radial basis functions[J].Medical Engineering&Physics,2012,34(5):625-639.
[8]KADKHODAPOUR J,MONTAZERIAN H,RAEISI S.Investigating internal architecture effect in plastic deformation and failure for TPMS-based scaffolds using simulation methods and experimental procedure[J].Materials Science&Engineering C:Materials for Biological Applications,2014,43(43):587-597.
[9]ORAIB A,ROWSHAN R,ABU A R R K.Topology-mechanical property relationship of 3Dprinted strut,skeletal,and sheet based periodic metallic cellular materials[J].Additive Manufacturing,2018,19:167-183.
[10]ORAIB A,ABU A R R K,REZA R.Mechanical properties of a new type of architected interpenetrating phase composite materials[J].Advanced Materials Technologies,2017,2(2):1-7.
[11]ORAIB A K,AHMAD S,AYESHA M A,et al.Nature-inspired lightweight cellular co-continuous composites with architected periodic gyroidal structures[J].Advanced Engineering Materials,2018,20(2):1700549.