Design of lightweight lattice meta-structures and approaches to manipulate their multi-functional mechanical properties
-
摘要:随着先进制造技术、多学科交叉和人工智能科技的飞速发展, 高端装备呈现出轻量化、集成化、复合化、功能化、智能化、柔性化和仿生化等发展趋势. 传统结构研究存在结构设计和制造相互分离, 复杂结构制造效率低、实际制造结构的性能指标和使用可靠性大幅低于设计理论预测、结构多功能一体化程度不足、经济成本过高等问题. 此外, 先进工业装备对材料、结构的使用性能、使用环境要求越来越高, 亟需开展结构的设计、制造、功能、应用一体化研究, 为解决我国先进制造“卡脖子”技术难题提供理论依据和技术支持. 轻量化多功能点阵超结构具有轻质高强、抗冲击吸能、减振降噪等性能优势, 在航空航天、交通运输、国防、生物医疗、能源、机械等工业领域具有巨大的应用潜力. 有鉴于此, 受多晶体微结构的多尺度力学设计启发, 以“点阵超结构力学设计”为主题, 开展点阵超结构的节点、杆件组元, 胞元类型、双相结构、梯度结构、多层级结构等典型点阵超结构的几何构筑和力学设计, 并阐明多晶体多尺度微观结构启发的点阵超结构力学设计基本原理、多功能力学性能调控方法, 以及点阵超结构在不同类型载荷下的结构变形和失效物理机理.Abstract:With the rapid development of advanced manufacturing technology, multidisciplinary integration, and artificial intelligence technology, high-end equipment demonstrates the development trends of lightweight, integrated, composited, multi-functional, intelligent, flexible, and biomimetic features. Traditional structural research has encountered many intrinsic problems that constrain devices, and instruments performances, such as structural design and manufacturing are separated from each other, relative low manufacturing efficiency of complex structures, practical structural performances, and reliability of manufactured structures are significantly lower than theoretical predictions, insufficient multi-functional integration of structures, and high costs. In addition, materials and structures for constructing advanced industrial equipments are required to maintain reliable performances and endure extremely crucial service environments. It is urgent to carry out research on the synergy effects of design, manufacture, function, and applications of structures, thus providing theoretical foundations and technical support for solving the key technical problems of advanced manufacturing strategic plans. Lightweight multi-functional lattice meta-structures exhibit extraordinary mechanical performance advantages of lightweight, specific strength, impact energy absorption, shock absorption, and noise reduction advantages, and demonstrate great industrial application potentials in aerospace, transportation, national defense, biomedical, energy, machinery, equipment, and other industrial fields. Considering the above-mentioned status-quo, inspired by the multi-scale microstructures of the polycrystalline, the mechanical design of lightweight multi-functional lattice meta-structures is reviewed in this paper, and is elaborated from the perspectives of typical design methods, such as nodes, strut components, unit cell types, dual-phase structures, gradient structures and hierarchical structures of lattice structures. Afterward, physical foundations for design innovations based on multi-scale microstructures of polycrystalline are explained, rational regulations of multi-functional mechanical properties, and the underlying deformation and failure mechanisms are demonstrated.
-
图 1点阵结构的节点和杆件组元创新设计. (a) 三维弹簧单螺旋状杆件, (b) 三维螺旋状杆件, (c) 非对称杆件, (d) 不同波长波浪状杆件, (e) 不同粗细波浪状杆件, (f) 变截面杆件, (g) 具有扭转效应的节点, (h) 节点参数化多层级设计, (i) 节点增强设计
图 3晶体微结构启发的点阵超结构多尺度新胞元、新构型力学设计. (a) 具有镜像特征的新型孪生三斜晶系点阵超结构力学设计(Bian et al. 2021), (b) 具有异质结构特征的跨尺度随机点阵超结构设计(Quang et al. 2021), (c) FCC和BCC异质结构点阵结构胞元混杂构成的复合点阵超结构(Pham et al. 2019), (d) 具有随机取向的几种不同类型最小曲面点阵结构形成的复合结构(Oraid et al. 2021); (e) 具有共格晶界和几何镜像特征的点阵超结构设计(Liu C et al. 2021), (f) 基于结构孪生和杆件组元接触改变点阵结构变形和承载模式的相变点阵结构(Vangelatos et al. 2019,Vangelatos et al. 2020a), (g) 二维FCC和BCC混杂的多晶点阵结构(Li W et al. 2021), (h) 基于结构中心对称性和准晶拓扑构型的轻质高强准晶点阵结构(Wang & Sigmund 2020,Somera et al. 2022)
图 4点阵结构的节点/对角线强化设计. (a) 和 (b) 将周期性点阵结构的对角线胞元更换为比强度更高的异质点阵结构胞元(Vangelatos et al. 2020a,Xiao R et al. 2021), (c) 点阵结构的节点换成直径更大的实心球(Liu Y et al. 2020), (d) 节点和中空杆件之间采用薄板平滑过渡连接 (Dever et al. 2013), (e) 和 (g) 杆件组元采用变截面设计(Qi et al. 2019b,Tancogne-Dejean & Mohr 2018a), (f) 和 (h) 节点和杆件连接过渡区域的平滑增强(Portela et al. 2018,Latture et al. 2018,Dallago et al. 2021)
图 5多晶体多尺度微结构及典型缺陷特征. (a) 多晶体多尺度微结构特征(Roters et al. 2010), (b) 不同尺度的结构缺陷分类
图 6多晶体微结构失效经典机制. (a) 晶格相变变形, (b) 位错滑移系开动, (c) 孪晶界面的形成, (d) 剪切滑移带的形成, (e) 高应变率载荷下的绝热剪切带, (f) 位错−夹杂物相互作用Orowan机制, (g) 位错−晶界相互作用, (h) 孔洞生长演化和贯穿, (i) 沿晶界/穿晶裂纹扩展
图 7点阵结构中的典型结构缺陷效应. (a) 夹杂物−失效滑移带相互作用Orowan机制, (b) 硬点阵结构夹杂物增强软基体点阵结构, (c) 孔洞生长演化和贯穿, (d) 弱缺陷对应的杆件缺失和孔洞效应, (e) 随机杆件缺失效应
图 8具有双向微结构特征的高性能双相合金材料多尺度微结构设计. (a) 双相合金异质结构界面模型, (b) 镍基单晶筏化微结构, (c) 纳米双相复合多层结构, (d) 纳米颗粒夹杂无定形基体形成的纳米双相刚, (e) 强韧一体化跨尺度异质结构, (f) 具有奥氏体/马氏体双相复合微结构特征的高强钢
图 10孪晶微结构启发的力学结构设计 (孪晶宽度、孪晶角度、梯度孪晶角度、梯度孪晶宽度、多级次孪晶、多级次梯度孪晶) 、压缩吸能特性、孪晶力学超结构强度的尺寸效应和逆尺寸效应(Wu W et al. 2022). (a) 均匀尺寸设计, (b) 功能梯度设计, (c) 多层级设计, (d) 单轴拉伸力学实验样品, (e) 均匀尺寸设计、功能梯度设计压缩吸能曲线对比, (f) 尺寸效应(Hall-Petch effects), (g) 逆尺寸效应(inverse Hall-Petch effects)
图 11功能梯度点阵结构设计策略. (a) 节点连续的杆件截面积梯度(Chen W et al. 2018), (b) 节点不连续分层梯度(Yue W et al. 2021), (c) 二维点阵结构单向和双向梯度(Niknam & Akbarzadeh 2020), (d) 三维点阵结构单向和双向梯度(Rafiee et al. 2020), (e) 节点半径梯度设计(Alghamdi et al. 2020), (f) 基于制造工艺和材料梯度特征的性能梯度设计(Zhang J et al. 2020b), (g) 孔隙率梯度结构设计(Dalia & Mohamed 2017), (h) 具有二阶非线性梯度效应的功能梯度结构设计(Weeger 2021), (i) 共形梯度拓扑优化点阵结构设计(Li D et al. 2019), (j) 具有手性结构特征的功能梯度结构设计(Wu W et al. 2019), (k) 杆件组元具有梯度结构特征的多层级点阵结构设计(Mueller & Shea 2018)
图 12多层级点阵结构设计分类. (a) 胞元杆件多层级(Chen & Jin 2018,Jnha et al. 2021), (b) 节点多层级(Yu Z et al. 2021), (c) 高刚度负泊松比多层级(Khakalo et al. 2018), (d) 最小曲面无节点胞元并发多尺度多层级(Zhang L et al. 2021), (e) 胞元节点−杆件并发异质结构多层级(Wu et al. 2017), (f) 梯度多层级结构(Taylor et al. 2012), (g) 双曲型多层级(Kollar et al. 2019), (h) 胞元填充多层级(Taylor 2012), (i) 套娃多层级(Pang Y et al. 2019), (j) 分形多层级(Oftadeh et al. 2014), (k) 微纳米多层级(Chang Q et al. 2021)
图 13具有结构相变特征的点阵结构 (a) 基于超弹性材料杆件失稳的点阵结构相变(Bertoldi et al. 2008); (b) 静水压环境下的多材料组元复合点阵结构相变(Chen & Jin 2018); (c) 伊斯兰图案启发的基于结构组元多稳态变形效应的多稳态点阵结构机械超材料(Khajehtourian et al. 2020); (d) 基于螺旋形节点实现往复折叠波浪形特征的负泊松比、负热膨胀效应相变机械超材料(Yue W et al. 2021); (e) 具有变刚度、负刚度特征的相变点阵结构(Restrepo et al. 2015); (f) 孔洞结构缺陷拓扑构型引导的结构相变(Yang D et al. 2015); (g) 基于节点接触状态的有无实现拉伸主导型和弯曲主导型点阵结构构型切换的相变点阵超结构(Wagner et al. 2019); (h) 基于变形过程中杆件组元接触引起的变形模式转换的相变孪晶点阵超结构(Vangelatos et al. 2020b); (i) 通过压缩过程中的手性点阵结构胞元构型切换 (长方形和平行四边形, 三角形和平行四边形) 实现结构相变的相变手性超结构(Hector et al. 2019)
图 14点阵结构的缺陷不敏感性. (a) 具有马鞍状的二维网状点阵结构的孔洞结构缺陷不敏感力学设计(Liu J et al. 2021); (b) 具有螺旋形的三维微观结构的仿生点阵结构的缺陷不敏感设计, 并进一步通过磁控溅射导电纳米金属涂层实现电阻率的缺陷不敏感(Yan D et al. 2020); (c) 具有有聚合物涂层的复合陶瓷点阵结构强韧化、缺陷不敏感设计及制造(Sajadi et al. 2021); (d) 基于高熵合金纳米涂层涂覆高弹性聚合物纳米点阵结构实现强韧化和结构缺陷不敏感(Zhang X et al. 2018); (e) 基于高温热解碳技术制备纳米点阵结构的缺陷不敏感特性(Zhang X et al. 2019); (f) 基于脆性材料的点阵结构弹性模量的结构缺陷不敏感, 并通过空洞附近区域的局部增强设计来优化器缺陷不敏感特性和延展性(Jian L et al. 2019)
图 15具有随机分布特征的无序点阵结构. (a) 九参数控制的具有随机节点特征和各向异性的杆状点阵结构、最小曲面点阵结构设计(Oraid et al. 2021); (b) 基于结构张量和等效密度协同调控的具有随机杆件组元空间取向的各向异性点阵结构设计(Munford et al. 2020); (c) 通过随机点阵结构设计实现裂纹扩展扩展路径和断裂韧性提升(Xu Y et al. 2019); (d) 具有杆件组元随机空间取向特征的拉伸主导型、玩去主导型点阵结构设计及冲击吸能性能研究(Mueller et al. 2019); (e) 通过模仿骨骼多孔微结构, 设计具有随机结构特征的点阵结构, 实现比刚度 (强度) 、相对密度、各向异性率的独立设计, 满足钛合金骨移植替代物的实际应用需求(Mcgregor et al. 2021); (f) 通过在点阵结构节点处引入随机位移量生成随机点阵结构, 发现随着随机点阵结构的几何不规则度增加, 随机点阵结构的变形模式逐渐从拉伸主导型转变为弯曲主导型变形模式(Raghavendra et al. 2021)
-
李增聪, 陈燕, 李红庆等. 2021. 面向集中力扩散的回转曲面加筋拓扑优化方法. 航空学报,42: 378-390 (Li Z C, Chen Y, Li H Q, et al. 2021. Topology optimization method for stiffened surface of revolution for concentrated force diffusion.Acta Aeronautica Sinica,42: 378-390). 卢柯. 2015. 梯度纳米结构材料. 金属学报,51: 10 (Lu K. 2015. Gradient nanostructured materials.Chinese Journal of Metals,51: 10). Alghamdi A, Maconachie T, Downing D, et al. 2020. Effect of additive manufactured lattice defects on mechanical properties: an automated method for the enhancement of lattice geometry.International Journal of Advanced Manufacturing Technology,108: 1-15.doi:10.1007/s00170-020-05074-7 Bacon D J, Kocks U F, Scattergood R O. 1973. The effect of dislocation self-interaction on the orowan stress.Philosophical Magazine,28: 1241-1263.doi:10.1080/14786437308227997 Benzerga A A, Leblond J B. 2010. Ductile fracture by void growth to coalescence.Advances in Applied Mechanics,44: 169-305. Beyerlein I J, Mara N A, Carpenter J S, et al. 2013. Interface-driven microstructure development and ultra high strength of bulk nanostructured Cu-Nb multilayers fabricated by severe plastic deformation.Journal of Materials Research,28: 1799-1812.doi:10.1557/jmr.2013.21 Bhuwal A S, Liu T, Ashcroft I, et al. 2021. Localization and coalescence of imperfect planar FCC truss lattice metamaterials under multiaxial loadings.Mechanics of Materials,160: 103996.doi:10.1016/j.mechmat.2021.103996 Bian Y, Yang F, Li P, et al. 2021. Energy absorption properties of macro triclinic lattice structures with twin boundaries inspired by microstructure of feldspar twinning crystals.Composite Structures,271: 114103.doi:10.1016/j.compstruct.2021.114103 Branko N, Klemenc J, Zupanic F, et al. 2022. Modelling and predicting of the LCF-behaviour of aluminium auxetic structures.International Journal of Fatigue,156: 106673.doi:10.1016/j.ijfatigue.2021.106673 Bertoldi K, Boyce M C, Deschanel S, et al. 2008. Mechanics of deformation-triggered pattern transformations and superelastic behavior in periodic elastomeric structures.Journal of the Mechanics and Physics of Solids,56: 2642-2668.doi:10.1016/j.jmps.2008.03.006 Chang Q, Feng J, Shu Y. 2021. Advanced honeycomb designs for improving mechanical properties: A review.Composites Part B:Engineering,227: 109393.doi:10.1016/j.compositesb.2021.109393 Chen P, Phuong T, Xuan H N, et al. 2020. Mechanical performance and fatigue life prediction of lattice structures: Parametric computational approach.Composite Structures,235: 111821.doi:10.1016/j.compstruct.2019.111821 Chen W, Zheng X, Liu S. 2018. Finite-element-mesh based method for modeling and optimization of lattice structures for additive manufacturing.Materials,11: 2073.doi:10.3390/ma11112073 Chen Y, Jin L. 2018. Geometric role in designing pneumatically actuated pattern transforming metamaterials.Extreme Mechanics Letters,23: 55-66.doi:10.1016/j.eml.2018.08.001 Chen Y, Li T, Jia Z, et al. 2018. 3D printed hierarchical honeycombs with shape integrity under large compressive deformations.Materials & Design,137: 226-234. Chen Y, Ma Y, Yin Q, et al. 2021. Advances in mechanics of hierarchical composite materials.Composites Science and Technology,214: 108970.doi:10.1016/j.compscitech.2021.108970 Chen Z, Xie Y M, Wu X, et al. 2019. On hybrid cellular materials based on triply periodic minimal surfaces with extreme mechanical properties.Materials & design,183: 108109. Chen Z, Kai L, Wen P, et al. 2020. Fatigue-resistance topology optimization of continuum structure by penalizing the cumulative fatigue damage.Advances in Engineering Software,150: 102924.doi:10.1016/j.advengsoft.2020.102924 Clough E C, Plaisted T A, Eckel Z C, et al. 2019. Elastomeric microlattice impact attenuators-science direct.Matter,1: 1519-1531.doi:10.1016/j.matt.2019.10.004 Conway K M, Kunka C, White B C, et al. 2021. Increasing fracture toughness via architected porosity.Materials & Design,205: 109696. Dalia M, Mohamed E. 2017. Lattice structures and functionally graded materials applications in additive manufacturing of orthopedic implants: A review.Journal of Manufacturing & Materials Processing,1: 13. Dallago M, Raghavendra S, Luchin V, et al. 2021. The role of node fillet, unit-cell size and strut orientation on the fatigue strength of Ti-6Al-4V lattice materials additively manufactured via laser powder bed fusion.International Journal of Fatigue,142: 105946.doi:10.1016/j.ijfatigue.2020.105946 Dever J A, Nathal M V, Dicarlo J A. 2013. Research on high-temperature aerospace materials at NASA glenn research center.Journal of Aerospace Engineering,26: 500-514.doi:10.1061/(ASCE)AS.1943-5525.0000321 Duan S, Wen W, Fang D. 2020. Additively-manufactured anisotropic and isotropic 3D plate-lattice materials for enhanced mechanical performance: Simulations & experiments.Acta Materialia,199: 397-412.doi:10.1016/j.actamat.2020.08.063 Dunlop J, Fratzl P. 2013. Multilevel architectures in natural materials - ScienceDirect.Scripta Materialia,68: 8-12.doi:10.1016/j.scriptamat.2012.05.045 Elsayed M, Pasini D. 2010. Analysis of the elastostatic specific stiffness of 2D stretching-dominated lattice materials.Mechanics of Materials,42: 709-725.doi:10.1016/j.mechmat.2010.05.003 Evans A G, Hutchinson J W, Fleck N A, et al. 2001. The topological design of multifunctional cellular metals.Progress in Materials Science,46: 309-327.doi:10.1016/S0079-6425(00)00016-5 Gao Z, Li D, Dong G, et al. 2020. Crack path-engineered 2D octet-truss lattice with bio-inspired crack deflection.Additive Manufacturing,36: 101539.doi:10.1016/j.addma.2020.101539 Ge W, Ka-Cheung C, Lin Z. et al. 2017. Dual-phase nanostructuring as a route to high-strength magnesium alloys.Nature,545: 80-83.doi:10.1038/nature21691 Gorguluarslan R M, Gungor O U, Yldz S, et al. 2021. Energy absorption behavior of stiffness optimized graded lattice structures fabricated by material extrusion.Meccanica,56: 2825-2841.doi:10.1007/s11012-021-01404-5 Groth J H, Anderson C, Magnini M, et al. 2021. Five simple tools for stochastic lattice creation.Additive Manufacturing,49: 102488. Gu X, Cao Y, Zhu J, et al. 2020. Shape optimization of SMA structures with respect to fatigue.Materials & Design,189: 108456. Guo Y, Ruan Q, Zhu S, et al. 2019. Temperature rise associated with adiabatic shear band: Causality clarified.Physical Review Letters, 122. Ha N S, Pham T M, Hao H, et al. 2021. Energy absorption characteristics of bio-inspired hierarchical multi-cell square tubes under axial crushing.International Journal of Mechanical Sciences,201: 106464.doi:10.1016/j.ijmecsci.2021.106464 Hector K W, Restrepo D, Bonilla C T, et al. 2019. Mechanics of chiral honeycomb architectures with phase transformations.Journal of Applied Mechanics,86: 111014.doi:10.1115/1.4044024 Hu L, Zheng X, Wang G, et al. 2021. Crashworthiness improvements of multi-cell thin-walled tubes through lattice structure enhancements.International Journal of Mechanical Sciences,210: 106731.doi:10.1016/j.ijmecsci.2021.106731 Jia Z, Liu F, X Jiang, et al. 2020. Engineering lattice metamaterials for extreme property, programmability, and multifunctionality.Journal of Applied Physics,127: 150901.doi:10.1063/5.0004724 Jian L, Hong S, Yi Z, et al. 2019. Toward imperfection-insensitive soft network materials for applications in stretchable electronics.ACS Applied Materials & Interfaces,11: 36100-36109. Jnha B, Mbga C, Td B, et al. 2021. Design of isotropic porous plates for use in hierarchical plate-lattices.Materials & Design,212: 110218. Kollar A J, Fitzpatrick M, Houck A A. 2019. Hyperbolic lattices in circuit quantum electrodynamics.Nature,571: 45-50.doi:10.1038/s41586-019-1348-3 Kazem N, Bartlett M D, Majidi C. 2018. Extreme toughening of soft materials with liquid metal.Advanced Materials,30: 1706594.doi:10.1002/adma.201706594 Khajehtourian R, Kochmann D M. 2020. Phase transformations in substrate-free dissipative multistable metamaterials.Extreme Mechanics Letters,37: 100700.doi:10.1016/j.eml.2020.100700 Khakalo S, Balobanov V, Niiranen J. 2018. Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: Applications to sandwich beams and auxetics.International Journal of Engineering Science,127: 33-52.doi:10.1016/j.ijengsci.2018.02.004 Khare E, Temple S, Tomov I, et al. 2018. Low fatigue dynamic auxetic lattices with 3d printable, multistable, and tuneable unit cells.Frontiers in Materials,5: 2296-8016. Khoda B, Ahsan A, Shovon A N, et al. 2021. 3D metal lattice structure manufacturing with continuous rods.Scientific Reports, 11. Kolken H M A, Garvia A F, Plessis A D, et al. 2022. Mechanisms of fatigue crack initiation and propagation in auxetic meta-biomaterials.Acta Biomaterialia,138: 398-409.doi:10.1016/j.actbio.2021.11.002 Kombaiah B, Murty K L. 2015. Coble, Orowan strengthening, and dislocation climb mechanisms in a Nb-modified zircaloy cladding.Metallurgical & Materials Transactions A,46: 4646-4660. Latture R M, Begley M R, Zok F W. 2019. Defect sensitivity of truss strength.Journal of the Mechanics and Physics of Solids,124: 489-504.doi:10.1016/j.jmps.2018.10.019 Latture R M, Rodriguez R X, Holmes L R, et al. 2018. Effects of nodal fillets and external boundaries on compressive response of an octet truss.Acta Materialia,149: 78-87.doi:10.1016/j.actamat.2017.12.060 Lee S, Fincher C D, Rowe R, et al. 2020. Making something out of nothing: Enhanced flaw tolerance and rupture resistance in elastomer-void "negative" composites.Extreme Mechanics Letters,40: 100845.doi:10.1016/j.eml.2020.100845 Lei H, Li C, Zhang X, et al. 2021. Deformation behavior of heterogeneous multi-morphology lattice core hybrid structures.Additive Manufacturing,37: 101674.doi:10.1016/j.addma.2020.101674 Lei Y, Si W, Chun Y, et al. 2021. Fatigue properties of Ti-6Al-4V Gyroid graded lattice structures fabricated by laser powder bed fusion with lateral loading.Additive Manufacturing,46: 102214.doi:10.1016/j.addma.2021.102214 Li D, Liao W, Dai N, et al. 2019. Anisotropic design and optimization of conformal gradient lattice structures.Computer-Aided Design,119: 102787. Li K, Seiler P E, Deshpande V S, et al. 2020. Regulation of notch sensitivity of lattice materials by strut topology.International Journal of Mechanical Sciences,192: 106137. Li T, Fja B, Arab C, et al. 2021. Additive manufactured semi-plate lattice materials with high stiffness, strength and toughness.International Journal of Solids and Structures,230-231: 111153.doi:10.1016/j.ijsolstr.2021.111153 Li W, Fan H, Bian Y, et al. 2021. Plastic deformation and energy absorption of polycrystalline-like lattice structures.Social Science Electronic Publishing,198: 109321. Li X, Tan Y H, Wang P, et al. 2020. Metallic microlattice and epoxy interpenetrating phase composites: Experimental and simulation studies on superior mechanical properties and their mechanisms.Composites Part A Applied Scienceand Manufacturin,135: 105934.doi:10.1016/j.compositesa.2020.105934 Li X, Yu X, Chua J W, et al. 2021. Microlattice metamaterials with simultaneous superior acoustic and mechanical energy absorption.Small,17: 2100336.doi:10.1002/smll.202100336 Liu C, Lertthanasarn J, Pham M S. 2021. The origin of the boundary strengthening in polycrystal-inspired architected materials.Nature Communications,12: 3674.doi:10.1038/s41467-021-23938-8 Liu J, Yan D, Zhang Y. 2021a. Mechanics of unusual soft network materials with rotatable structural nodes.Journal of the Mechanics and Physics of Solids,146: 104210.doi:10.1016/j.jmps.2020.104210 Liu J, Zhu X, Shen Z, et al. 2021b. Imperfection sensitivity of mechanical properties in soft network materials with horseshoe microstructures.Acta Mech,37: 1050-1062.doi:10.1007/s10409-021-01087-x Liu K, Xiao C, Peng Z, et al. 2022. Dynamic mechanical performances of enhanced anti-tetra-chiral structure with rolled cross-section ligaments under impact lo ading.International Journal of Impact Engineering,166: 104204.doi:10.1016/j.ijimpeng.2022.104204 Liu W, Song H, Huang C. 2020. Maximizing mechanical properties and minimizing support material of PolyJet fabricated 3D lattice structures.Additive Manufacturing,35: 101257.doi:10.1016/j.addma.2020.101257 Liu W, Song H, Wang Z, et al. 2019. Improving mechanical performance of fused deposition modeling lattice structures by a snap-fitting method.Materials & Design,181: 108065. Liu X, Wada T, Suzki A, et al. 2021. Understanding and suppressing shear band formation in strut-based lattice structures manufactured by laser powder bed fusion.Materials and Design,199: 109416.doi:10.1016/j.matdes.2020.109416 Liu Y, Zhang J, Gu X, et al. 2020. Mechanical performance of a node reinforced body-centred cubic lattice structure manufactured via selective laser melting.Scripta Materialia,189: 95-100.doi:10.1016/j.scriptamat.2020.08.015 Liu Y, Wang L. 2015. Enhanced stiffness, strength and energy absorption for co-continuous composites with liquid filler.Composite Structures,128: 274-283.doi:10.1016/j.compstruct.2015.03.064 Liu Y, Schaedler T A, Jacobsen A J, et al. 2014. Quasi-static energy absorption of hollow microlattice structures.Composites Part B,67: 39-49.doi:10.1016/j.compositesb.2014.06.024 Long B A, Cheng G A, Xc A, et al. 2021. Quasi-Static compressive responses and fatigue behaviour of Ti-6Al-4V graded lattice structures fabricated by laser powder bed fusion.Materials & Design,210: 110110. Lu Z, Yan W, Yan P, et al. 2020. A novel precipitate-type architected metamaterial strengthened via orowan bypass-like mechanism.Applied Sciences,10: 7525.doi:10.3390/app10217525 Manno R, Gao W, Benedetti I. 2019. Engineering the crack path in lattice cellular materials through bio-inspired micro-structural alterations.Extreme Mechanics Letters,26: 8-17.doi:10.1016/j.eml.2018.11.002 Mcgregor M, Patel S, Mclachlin S, et al. 2021. Architectural bone parameters and the relationship to titanium lattice design for powder bed fusion additive manufacturing.Additive Manufacturing,39: 107633. Mercer C, Lee J, Balint D S. 2015. An investigation of the mechanical fatigue behavior of low thermal expansion lattice structures.International Journal of Fatigue,81: 238-248.doi:10.1016/j.ijfatigue.2015.08.009 Pham M S, Liu C, Todd I, et al. 2019. Damage-tolerant architected materials inspired bycrystal microstructure.Nature,565: 305-311.doi:10.1038/s41586-018-0850-3 Mo C, Raney J R. 2019. Spatial programming of defect distributions to enhance material failure characteristics.Extreme Mechanics Letters,34: 100598. Moestopo W P, Mateos A J, Fuller R M, et al. 2020. Pushing and pulling on ropes: Hierarchical woven materials.Advanced Science,7: 20011271. Mousanezhad D, Haghpanah B, Ghosh R, et al. 2016. Elastic properties of chiral, anti-chiral and hierarchical honeycombs: A simple energy-based approach.Theoretical and Applied Mechanics Letters,6: 81-96.doi:10.1016/j.taml.2016.02.004 Mueller J, Matlack K H, Shea K, et al. 2019. Energy absorption properties of periodic and stochastic 3D lattice materials.Advanced Theory and Simulations,2: 1900081.doi:10.1002/adts.201900081 Mueller J, Shea K. 2018. Stepwise graded struts for maximizing energy absorption in lattices.Extreme Mechanics Letters,25: 7-15.doi:10.1016/j.eml.2018.10.006 Munford M, Hossain U, Gh Ouse S, et al. 2020. Prediction of anisotropic mechanical properties for lattice structures.Additive Manufacturing,32: 101041.doi:10.1016/j.addma.2020.101041 Niknam H, Akbarzadeh A H. 2020. Graded lattice structures: Simultaneous enhancement in stiffness and energy absorption.Materials & Design,196: 109-129. Oftadeh R, Haghpanah B, Vella D, et al. 2014. Optimal fractal-like hierarchical honeycombs.Physical Review Letters,113: 104301.doi:10.1103/PhysRevLett.113.104301 Oraid K T, Lee D W, Rashid K. 2021. Mechanical properties of additively-manufactured sheet-based gyroidal stochastic cellular materials.Additive Manufacturing,48: 102418.doi:10.1016/j.addma.2021.102418 Pan C, Han Y, J Lu. 2020. Design and optimization of lattice structures: A review.Applied Sciences,10: 6374.doi:10.3390/app10186374 Pang Y, Chen S, Y Chu, et al. 2019. Matryoshka-inspired hierarchically structured triboelectric nanogenerators for wave energy harvesting.Nano Energy,66: 104131.doi:10.1016/j.nanoen.2019.104131 Peirce D, Asaro R J, Needleman A. 1982. An analysis of nonuniform and localized deformation in ductile single crystals.Acta Metallurgica,30: 1087-1119.doi:10.1016/0001-6160(82)90005-0 Portela C M, Greer J R, Kochmann D M. 2018. Impact of node geometry on the effective stiffness of non-slender three-dimensional truss lattice architectures.Extreme Mechanics Letters,22: 138-148.doi:10.1016/j.eml.2018.06.004 Portela C M, Vidyasagar A, Krdel S, et al. 2020. Extreme mechanical resilience of self-assembled nanolabyrinthine materials.Proceedings of the National Academy of Sciences of the United States of America,117: 5686-5693.doi:10.1073/pnas.1916817117 Polley C, Radlof W, Hauschulz C, et al. 2022. Morphological and mechanical characterisation of three-dimensional gyroid structures fabricated by electron beam melting for the use as a porous biomaterial.Journal of the Mechanical Behavior of Biomedical Materials,125: 104882.doi:10.1016/j.jmbbm.2021.104882 Qi D, Lu Q, He C W, et al. 2019a. Impact energy absorption of functionally graded chiral honeycomb structures.Extreme Mechanics Letters,32: 100568.doi:10.1016/j.eml.2019.100568 Qi D, Yu H, Liu M, et al. 2019b. Mechanical behaviors of SLM additive manufactured octet-truss and truncated-octahedron lattice structures with uniform and taper beams.International Journal of Mechanical Sciences,163: 105091.doi:10.1016/j.ijmecsci.2019.105091 Quang T D, Nguyen C H P, Choi Y. 2021. Homogenization-based optimum design of additively manufactured Voronoi cellular structures-ScienceDirect.Additive Manufacturing,45: 102057.doi:10.1016/j.addma.2021.102057 Queyreau S, Monnet G, Devince B, et al. 2010. Orowan strengthening and forest hardeningsuperposition examined by dislocation dynamics simulations.Acta Materialia,58: 5586-5595.doi:10.1016/j.actamat.2010.06.028 Rafiee M, Farahani R D, The Rr Iault D. 2020. Multi-material 3D and 4D printing: A survey.Advanced Science,7: 1902307.doi:10.1002/advs.201902307 Raghavendra S, Molinari A, Dallago M, et al. 2021. Uniaxial static mechanical properties of regular, irregular and random additively manufactured cellular materials: Nominal vs. real geometry.Forces in Mechanics,2: 100007.doi:10.1016/j.finmec.2020.100007 Refai K, Brugger C, Montemurro M, et al. 2020. An experimental and numerical study of the high cycle multiaxial fatigue strength of titanium lattice structures produced by selective laser melting (SLM).International Journal of Fatigue,138: 105623.doi:10.1016/j.ijfatigue.2020.105623 Restrepo D, Mankame N, Zavattieri P, et al. 2015. Phase transforming cellular materials.Extreme Mechanics Letters,4: 52-60.doi:10.1016/j.eml.2015.08.001 Roberts A D. 1949. Symposium on internal stresses in metals and alloys.Nature,164: 420-5.doi:10.1038/164420a0 Roters F, Eisenlohr P, Bieler T R, et al. 2010. Crystal Plasticity Finite Element Methods: In Materials Science and Engineering. John Wiley & Sons. Sajadi S M, Vásárhelyi L, Mousavi R, et al. 2021. Damage-tolerant 3D-printed ceramics via conformal coating.Science Advances,7: 5028.doi:10.1126/sciadv.abc5028 Saleh B, Jiang J, Fathi R, et al. 2020. 30 Years of functionally graded materials: An overview of manufacturing methods.Applications and Future Challenges. Composites Part B Engineering,201: 108376.doi:10.1016/j.compositesb.2020.108376 Savio G, Rosso S, Curtarello A, et al. 2019. Implications of modeling approaches on the fatigue behavior of cellular solids.Additive Manufacturing,25: 50-58.doi:10.1016/j.addma.2018.10.047 Shyu T C, Damasceno P F, Dodd P M, et al. 2015. A kirigami approach to engineering elasticity in nanocomposites through patterned defects.Nature Materials,14: 785-789.doi:10.1038/nmat4327 Somera A, Poncelet M, Auffray N, et al. 2022. Quasi-periodic lattices: Pattern matters too.Scripta Materialia,209: 114378.doi:10.1016/j.scriptamat.2021.114378 Suard M, Plancher E, Martin G, et al. 2020. Surface defects sensitivity during the unfolding of corrugated struts made by powder-bed additive manufacturing.Advanced Engineering Materials,22: 2000315.doi:10.1002/adem.202000315 Surjadi J U, Feng X, Zhou W, et al. 2021. Optimizing film thickness to delay strut fracture in high-entropy alloy composite microlattices.International Journal of Extreme Manufacturing,3: 025101.doi:10.1088/2631-7990/abd8e8 Tamburrino F. 2018, The design process of additively manufactured mesoscale lattice structures: A review.Journal of Computing and Information Science in Engineering,18: 040801. Tancogne-Dejean T, Mohr D. 2018a. Elastically-isotropic elementary cubic lattices composed of tailored hollow beams.Extreme Mechanics Letters,22: 13-18.doi:10.1016/j.eml.2018.04.005 Tancogne-Dejean T, Mohr D. 2018b. Stiffness and specific energy absorption of additively-manufactured metallic BCC metamaterials composed of tapered beams.International Journal of Mechanical Sciences,141: 101-116.doi:10.1016/j.ijmecsci.2018.03.027 Tancogne-Dejean T, Diamantopoulou M, Gorji M B, et al. 2018. 3D Plate-lattices: An emerging class of low-density metamaterial exhibiting optimal isotropic stiffness.Advanced Materials,30: 180334.doi:10.1002/adma.201803334 Tankasala H C, Fleck N A. 2019. The crack growth resistance of an elastoplastic lattice.International Journal of Solids and Structures,188-189: 233-243. Tao W, Leu M C. 2016. Design of lattice structure for additive manufacturing.International Symposium on Flexible Automation(ISFA). IEEE,10: 7790182. Taylor C M, Smith C W, Miller W, et al. 2012. Functional grading in hierarchical honeycombs: Density specific elastic performance.Composite Structures,94: 2296-2305.doi:10.1016/j.compstruct.2012.01.021 Taylor C M. 2012. A hierarchical honeycomb formed from a super-and sub-structural honeycombs, both hexagonal cell.Exeter University, 7. Torres A M, Trikanad A A, Aubin C A, et al. 2019. Bone-inspired microarchitectures achieve enhanced fatigue life.Proceedings of the National Academy of Sciences,116: 24457-24462.doi:10.1073/pnas.1905814116 Traxel K D, Groden C, Valladares J, et al. 2021, Mechanical properties of additively manufactured variable lattice structures of Ti6Al4V.Materials Science and Engineering A,809: 140925. Vangelatos Z, Komvopoulos K, Grigoropoulos C P. 2020a. Regulating the mechanical behavior of metamaterial microlattices by tactical structure modification.Journal of the Mechanics and Physics of Solids,144: 104112.doi:10.1016/j.jmps.2020.104112 Vangelatos Z, Komvopoulos K, Spanos J, et al. 2020b. Anisotropic and curved lattice members enhance the structural integrity and mechanical performance of architected metamaterials.International Journal of Solids and Structures,193–194: 287-301. Vangelatos Z, Melissinaki V, Farsari M, et al. 2019. Intertwined microlattices greatly enhance the performance of mechanical metamaterials.Mathematics and Mechanics of Solids,24: 2636-2648.doi:10.1177/1081286519848041 Vangelatos Z, Sheikh H M, Marcus P S, et. al. 2021. Strength through defects: A novel Bayesian approach for the optimization of architected materials.Science Advances,7: 2218. Wagner M A, Lumpe T S, Chen T, et al. 2019. Programmable, active lattice structures: Unifying stretch-dominated and bending-dominated topologies.Extreme Mechanics Letters,29: 100461.doi:10.1016/j.eml.2019.100461 Wang B, Ding Q, Sun Y, et al. 2019. Enhanced tunable fracture properties of the high stiffness hierarchical honeycombs with stochastic Voronoi substructures.Results in Physics,12: 1190-1196.doi:10.1016/j.rinp.2018.12.068 Wang B, Hao P, Li G, et al. 2014. Optimum design of hierarchical stiffened shells for low imperfection sensitivity.Acta Mechanica Sinica,30: 391-402.doi:10.1007/s10409-014-0003-3 Wang P, Yang F, Ru D H, et al. 2021. Additive-manufactured hierarchical multi-circular lattice structures for energy absorption application.Materials & Design,210: 110116.doi:10.1016/j.matdes.2021.110116 Wang Y, Sigmund O. 2020. Quasiperiodic mechanical metamaterials with extreme isotropic stiffness.Extreme Mechanics Letters,34: 100596.doi:10.1016/j.eml.2019.100596 Weeger O. 2021. Numerical homogenization of second gradient, linear elastic constitutive models for cubic 3D beam-lattice metamaterials.International Journal of Solids and Structures,224: 111037.doi:10.1016/j.ijsolstr.2021.03.024 White B C, Garland A, Alberdi R, et al. 2020. Interpenetrating lattices with enhanced mechanical functionality.Additive Manufacturing,38: 101741. Wu Q, Vaziri A, Asl M E, et al. 2019. Lattice materials with pyramidal hierarchy: Systematic analysis and three dimensional failure mechanism maps.Journal of the Mechanics and Physics of Solids,125: 112-114.doi:10.1016/j.jmps.2018.12.006 Wu W, Hu W, Qian G, et al. 2019. Mechanical design and multifunctional applications of chiral mechanical metamaterials: A review.Materials & design,180: 107950. Wu W, Kim S, Ramazani A, et al. 2022. Twin mechanical metamaterials inspired by nano-twin metals: Experimental investigations.Composite Structure,291: 115580.doi:10.1016/j.compstruct.2022.115580 Wu W, Tao Y, Xia Y, et al. 2017. Mechanical properties of hierarchical anti-tetrachiral metastructures.Extreme Mechanics Letters,16: 18-32.doi:10.1016/j.eml.2017.08.004 Wu X, Yang M, Yuan F, et al. 2015. Heterogeneous lamella structure unites ultrafine-grain strength with coarse-grain ductility.Proceedings of the National Academy of Sciences of the United States of America,112: 14501.doi:10.1073/pnas.1517193112 Xiao R, Li X, Jia H, et al. 2021. 3D printing of dual phase-strengthened microlattices for lightweight micro aerial vehicles.Materials & Design,206: 109767. Xiao Z, Howon L, Weisgraber T D, et al. 2014. Ultrastiff mechanical metamaterials.Science,344: 1373-1377.doi:10.1126/science.1252291 Xue R, Cui X, Zhang P, et al. 2020. Mechanical design and energy absorption performances of novel dual scale hybrid plate-lattice mechanical metamaterials.Extreme Mechanics Letters, 100918. Xu F, Zhang X, Zhang H. 2018. A review on functionally graded structures and materials for energy absorption.Engineering Structures,171: 309-325.doi:10.1016/j.engstruct.2018.05.094 Xu Y, Zhang H, Avija B, et al. 2019. Deformation and fracture of 3D printed disordered lattice materials: Experiments and modeling.Materials & Design,162: 143-153. Yan D, Chang J, Zhang H, et al. 2020. Soft three-dimensional network materials with rational bio-mimetic designs.Nature Communications,11: 1180.doi:10.1038/s41467-020-14996-5 Yang D, Jin L, Martinez R, et al. 2015. Phase-transforming and switchable metamaterials.Extreme Mechanics Letters,6: 1-9. Yang J, Gu D, Lin K, et al. 2021. Laser additive manufacturing of cellular structure with enhanced compressive performance inspired by Al–Si crystalline microstructure.CIRP Journal of Manufacturing Science and Technology,32: 26-36.doi:10.1016/j.cirpj.2020.11.003 Yavari S A, Ahmadi S M, Wauthle R, et al. 2015. Relationship between unit cell type and porosity and the fatigue behavior of selective laser melted meta-biomaterials.Journal of the Mechanical Behavior of Biomedical Materials,43: 91-100.doi:10.1016/j.jmbbm.2014.12.015 Yin S, Chen H, Yang R, et al. 2020. Tough nature-inspired helicoidal composites with printing-induced voids.Cell Reports Physical Science,1: 100109.doi:10.1016/j.xcrp.2020.100109 Yin S, Guo W, Wang H, et al. 2021. Strong and tough bioinspired additive-manufactured dual-phase mechanical metamaterial composites.Journal of the Mechanics and Physics of Solids,149: 104341.doi:10.1016/j.jmps.2021.104341 Yu K, Feng Z, Du H, et al. 2021. Photosynthesis-assisted remodeling of three-dimensional printed structures.Proceedings of the National Academy of Sciences,118: 2016524118.doi:10.1073/pnas.2016524118 Yu W, Qing Y, Xia L, et al. 2021. Multi-bionic mechanical metamaterials: A composite of FCC lattice and bone structures.International Journal of Mechanical Sciences,213: 106857. Yu Z, Yu L, Ying L, et al. 2021. 3D printed self-similar AlSi10Mg alloy hierarchical honeycomb architectures under in-plane large deformation.Thin-Walled Structures,164: 107795.doi:10.1016/j.tws.2021.107795 Yue W, Fei L, Xin Z, et al. 2021. Cell-size graded sandwich enhances additive manufacturing fidelity and energy absorption.International Journal of Mechanical Sciences,211: 106798.doi:10.1016/j.ijmecsci.2021.106798 Zadpoor A A. 2020. On bone fatigue and its relevance for the design of architected materials.Proceedings of the National Academy of Sciences,117: 6985.doi:10.1073/pnas.1922857117 Zargarian A, Esfahanian M, Kadkhodapour J, et al. 2016. Numerical simulation of the fatigue behavior of additive manufactured titanium porous lattice structures.Materials Science & Engineering C Materials for Biological Applications,60: 339-347. Zhang J, Lu G, You Z. 2020a. Large deformation and energy absorption of additively manufactured auxetic materials and structures: A review.Composites Part B:Engineering,201: 108340.doi:10.1016/j.compositesb.2020.108340 Zhang J, Song B, Yang L, et al. 2020b. Microstructure evolution and mechanical properties of TiB/Ti6Al4V gradient-material lattice structure fabricated by laser powder bed fusion.Composites Part B Engineering,202: 108417.doi:10.1016/j.compositesb.2020.108417 Zhang L, Hu Z, Wang Y, et al. 2021. Hierarchical sheet triply periodic minimal surface lattices: design, geometric and mechanical performance.Materials & Design,209: 109931.doi:10.1016/j.matdes.2021.109931 Zhang S, Le C, Gain A L, et al. 2019. Fatigue-based topology optimization with non-proportional loads.Computer Methods in Applied Mechanics and Engineering,345: 805-825.doi:10.1016/j.cma.2018.11.015 Zhang W, Chen J, Li X, et al. 2020. Metamaterials: Liquid metal-polymer microlattice metamaterials with high fracture toughness and damage recoverability.Small,16: 2070252.doi:10.1002/smll.202070252 Zhang X, Jia Y, Bin L, et al. 2018. Three-dimensional high-entropy alloy-polymer composite nanolattices that overcome the strength-recoverability trade-off.Nano Letters,18: 4247-4256.doi:10.1021/acs.nanolett.8b01241 Zhang X, Vyatskikh A, Gao H, et al. 2019. Lightweight, flaw-tolerant, and ultrastrong nanoarchitected carbon.Proceedings of the National Academy of Sciences,116: 6665-6672.doi:10.1073/pnas.1817309116 Zhang Y, Hsieh M T, Valdevit L. 2021. Mechanical performance of 3D printed interpenetrating phase composites with spinodal topologies.Composite Structures,263: 113693.doi:10.1016/j.compstruct.2021.113693 Zhao S, Li J, Hou W T, et al. 2016. The influence of cell morphology on the compressive fatigue behavior of Ti-6Al-4V meshes fabricated by electron beam melting.Journal of the Mechanical Behavior of Biomedical Materials,59: 251-264.doi:10.1016/j.jmbbm.2016.01.034 Zhao Z, Yuan C, Lei M, et al. 2019. Three-dimensionally printed mechanical metamaterials with thermally tunable auxetic behavior.Physical Review Applied,11: 044074. Zheng Q, Fan H. 2021. Equivalent continuum method of plane-stress dominated plate-lattice materials.Thin-Walled Structures,164: 107865.doi:10.1016/j.tws.2021.107865 Zheng X, Smith W, Jackson J, et al. 2016. Multiscale metallic metamaterials.Nature Materials,15: 1100-1106.doi:10.1038/nmat4694 Zian J, Li W. 2019. 3D printing of biomimetic composites with improved fracture toughness.Acta Materialia,173: 61-73.doi:10.1016/j.actamat.2019.04.052 Zok F W. 2019. Integrating latt ice materials science into the traditional processing-structure- properties paradigm.MRS Communications,9: 1284-1291.doi:10.1557/mrc.2019.152 Zok F W, Latture R M, Begley M R. 2016. Periodic truss structures.Journal of the Mechanics & Physics of Solids,96: 184-203. -
下载:
点击查看大图
图(20)
计量
- 文章访问数:3680
- HTML全文浏览量:1076
- PDF下载量:1086
- 被引次数:0
