选区熔融成形的极小曲面蒙皮点阵结构弯曲性能研究Study on the Bending Performance of Two Different TPMS Lattice Structures
郝博,赵玉欣,汪万炯,张钰
摘要(Abstract)：
在本研究中，我们研究了用两种典型三周期极小曲面（TPMS）晶胞设计的蒙皮点阵结构的三点弯曲力学行为，即Gyroid和Primitive两种三周期极小曲面蒙皮点阵结构。基于隐式函数表达式创建了上述两种TPMS蒙皮点阵结构，建立了上述两种TPMS蒙皮点阵结构的有限元模型，以钛合金（Ti-6Al-4V）为材质，对仿真模型进行有限元分析，模拟了两种用不同三周期极小曲面（TPMS）晶胞设计的蒙皮点阵结构在三点弯曲下发生塑性破坏时的最大位移及最大允许载荷。对两种TPMS蒙皮点阵结构进行了基于三点弯曲的力学性能理论数值分析并与有限元分析结果进行了对比，分析了两种蒙皮点阵结构各自的力学性能。采用选区激光熔融技术（SLM）加工了样件，并进行了三点弯曲试验，且与有限元分析结果吻合较好。结论表明晶胞类型和体积分数对蒙皮点阵结构的最大位移和最大允许载荷均有影响，在讨论影响蒙皮点阵结构发生塑性破坏时的最大位移和最大允许载荷时，不能仅考虑晶胞类型或体积分数等单一因素的影响，而应考虑多因素对蒙皮点阵结构弯曲性能的综合影响。
关键词(KeyWords)： 三周期极小曲面;蒙皮点阵结构;三点弯曲
基金项目(Foundation): 装备预研领域基金快速扶持项目（80923020104）
作者(Author): 郝博,赵玉欣,汪万炯,张钰
DOI: 10.19356/j.cnki.1001-3997.20260403.024
参考文献(References)：
- [1]Schwarz,H. A. Gesammelte Mathematische Abhandlungen;Springer:Berlin/Heidelberg,Germany,1890(346).
- [2]Han L,Che S.An overview of materials with triply periodic minimal surfaces and related geometry:from biological structures to selfassembled systems[J].Advanced Materials,2018,30(17):1705708.
- [3]Schoen A H.Infinite periodic minimal surfaces without self-intersections[J].NASA Technical Note,1970,D-5541.
- [4]Nguyen Nam V.,Tran Kim Q.,Phung-Van P.,Lee Jaehong,Nguyen-Xuan H. An isogeometric analysis of functionally graded triply periodic mini mal surface microplates[J]. Aerospace Science and Technology,2023(137).
- [5]Lee DW,Khan KA,Abu Al-Rub RK.Stiffness and yield strength of architectured foams based on the Schwarz primitive triply periodic minimal surface.Int J Plast,2017(95):1-20.
- [6]Gao T,Liu K,Wang X,Li Z,Wang Z.Elastic mechanical property hybridization of configuration-varying TPMS with geometric continuity[J].Ma-ter Des,2022(221):110995.
- [7]Ejeh CJ,Barsoum I,Abu Al-Rub RK. Flexural properties of function ally graded additively manufactured AlSi10Mg TPMS latticed-beams[J]. Int J Mech Sci,2022(223):107293.
- [8]杨磊.增材制造三周期极小曲面点阵结构的力学性能研究[D].武汉：华中科技大学，2020.(Yang Lei.Research on the mechanical properties of three period minimalcurved surface lattice structures in additive manufacturing[D].Wuhan:Huazhong University of Science and Technology,2020.)
- [9]Shixiang Yu,Jinxing Sun,Jiaming Bai. Investigation of functionally gra dted TPMS structures fabricated by additive manufacturing[J].Materi-als&Design,2019(182).
- [10]Oraib Al-Ketan,Reza Rowshan,Rashid K. AbuAl-Rub. Topologymechanical property relationship of 3D printed strut,skeletal,and sheet based periodic metallic cellular materials[J].Additive Manufac-turing,2018(19).
- [11]王冬.泡沫铝夹芯板三点弯曲性能的数值模拟研究[D].西安：长安大学，2019.(Wang Dong.Numerical simulation study on three-point bending performance of foam aluminum sandwich panel[D]Xi’an:Chang’an University,2019.)
- [12]张坤伦，潘锋，韩勇，等.短纤维增强复合材料的力学性能仿真研究[J].机械设计与制造，2020,358(12):212-215.(Zhang Kunlun,Pan Feng,Han Yong,et al. Simulation study on mechanical properties of short fiber reinforced composite materials[J].Mechanical Design and Manufacturing,2020,358(12):212-215.)