单个薄壁多孔金属空心球体力学行为研究
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摘要
金属空心球多胞材料结构是一种新型的多孔金属材料,它是由多个金属空心球组合而成,对于单个金属空心球的力学行为研究是整体材料力学性能的基础。通过对外径2 mm～3 mm,且壁厚不等厚(壁厚10μm～40μm)的单个超薄壁多孔空心球体进行纳米压痕试验、准静态单轴压缩试验以及纯弹性阶段的压缩试验,进而得到该金属空心球体材料和整个球体的弹性模量等相关力学参数,以及金属空心球体压缩变形过程和特征,并对金属空心球体弹性阶段采用有限元软件Abaqus进行模拟,分析孔隙率对于球体弹性模量的影响,结果表明,随着球壁孔隙率的增大,球体的弹性模量减小,且呈非线性分布,并可以描述成与球壁孔隙率与球壁材料的力学性能关系相同的幂函数形式。
Cellular metal materials structure is a new type of porous metal material, it is made up by lots of metal hollow spheres(MHS), and mechanical behavior research of the single metallic hollow sphere is the foundation of the whole material mechanical performance. The individual MHS with 2 mm to 3 mm outside diameter,10 μm to 40 μm thick walls with porosity were studied, and nano-indentation test, quasi-static uniaxial compression experiment and elastic compression test were performed on the metallic hollow spheres to get the Young's modulus and hardness of the MHS and the material which was made up of the sphere, also single MHS compression deformation process and characteristics could be observed, finally simulated elastic stage of metallic hollow sphere by finite element software ABAQUS, analyzed the influence of the Young's modulus of the whole MHS by porosity on thin wall, and result shows that with the porosity increasing, the elastic modulus of MHS will decrease, and present nonlinear distribution, it can be described the same format of a power law function as the relation of porosity with the porous thin wall.
Cellular metal materials structure is a new type of porous metal material, it is made up by lots of metal hollow spheres(MHS), and mechanical behavior research of the single metallic hollow sphere is the foundation of the whole material mechanical performance. The individual MHS with 2 mm to 3 mm outside diameter,10 μm to 40 μm thick walls with porosity were studied, and nano-indentation test, quasi-static uniaxial compression experiment and elastic compression test were performed on the metallic hollow spheres to get the Young's modulus and hardness of the MHS and the material which was made up of the sphere, also single MHS compression deformation process and characteristics could be observed, finally simulated elastic stage of metallic hollow sphere by finite element software ABAQUS, analyzed the influence of the Young's modulus of the whole MHS by porosity on thin wall, and result shows that with the porosity increasing, the elastic modulus of MHS will decrease, and present nonlinear distribution, it can be described the same format of a power law function as the relation of porosity with the porous thin wall.
引文
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[14] Nix W D,Gao H J.Indentation size effects in crystalline materials:a law for strain gradient plasticity [J].Journal of the Mechanics & Physics of Solids,1998,46(3):411-425.
[15] Tabor D.The physical meaning of indentation and scratch hardness [J].British Journal of Applied Physics,2002,7(5):159.
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[17] Song J L,Sun Q S,Yang Z N,et al.Effects of microporosity on the elasticity and yielding of thin-walled metallic hollow spheres[J].Materials Science & Engineering A,2017(688):134-145.
[2] 李智伟,魏尊杰,王宏伟.空心球金属泡沫的研究进展[J].机械工程材料,2008,11(32):1-4.LI ZhiWei,WEI ZunJie,WANG HongWei.Research progress of hollow sphere metallic foams[J].Materials for Mechanical Engineering,2008,11(32):1-4 (In Chinese).
[3] Lim T J,Smith B,Dowell DL.Behavior of a random hollow sphere metal foam [J].Acta Mater 2002,50(11):2867-2879.
[4] Karagiozova D,Yu T X,Gao Z Y.Modelling of MHS cellular solid in large strains [J].International Journal of Mechanical Sciences,2006,48(11):1273-1286.
[5] Ruan H H,Gao Z Y,Yu T X.Crushing of thin-walled spheres and sphere arrays [J].International Journal of Mechanical Sciences,2006,48(2):117-133.
[6] Gao Z Y,Yu T X,Karagiozova D.Finite element simulations on the mechanical properties of MHS materials [J].Acta Mechanica Sinica,2007,23(1):65-75.
[7] 吴承伟,张鹏程,周平.薄壁球壳超轻质结构力学行为研究[J].大连理工大学学报,2008,48(5):625-630.WU ChengWei,ZHANG PengCheng,ZHOU Ping.Research on mechanical behavior of super-light weight structure made of thin-walled spheres [J].Journal of Dalian University of Technology,2008,48(5):625-630 (In Chinese).
[8] Updike D P,Kalnins A.Axisymmetric behavior of an elastic spherical shell compressed between rigid plates [J].Journal of Applied Mechanics,1970(37):635-640.
[9] Gupta N K,Sheriff N M,Velmurugan R.Experimental and theoretical studies on buckling of thin spherical shells under axial loads [J].International Journal of Mechanical Sciences,2008,50(3):422-432.
[10] 余为,李慧剑,梁希,等.金属半球壳压缩力学性能试验和模拟研究[J].工程力学,2013,30(11):260-265.YU Wei,LI HuiJian,Liang Xi,et al.Numerical and experimental studies on the compressive mechanical properties of metallic hemisphere shells[J].Engineering Mechanics,2013,30(11):260-265(In Chinese).
[11] Oliver W C,Pharr G M.An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiment [J].Journal of Materials Research,1992,7(6):1564-1583.
[12] Pharr G M,Oliver W C,Brotzen,F R.On the generality of the relationship among contact stiffness,contact area,and elastic-modulus during indentation [J].Journal of Materials Research,1992,7(3):613-617.
[13] Zhao Y P,Yu T X.Influences of strain rate and temperature variation on material intrinsic length of plasticity strain gradient theory.Key Engineering Materials,2000(177):47-52.
[14] Nix W D,Gao H J.Indentation size effects in crystalline materials:a law for strain gradient plasticity [J].Journal of the Mechanics & Physics of Solids,1998,46(3):411-425.
[15] Tabor D.The physical meaning of indentation and scratch hardness [J].British Journal of Applied Physics,2002,7(5):159.
[16] Johnson K L.Contact mechanics[M].Cambridge University Press,1985:90-104.
[17] Song J L,Sun Q S,Yang Z N,et al.Effects of microporosity on the elasticity and yielding of thin-walled metallic hollow spheres[J].Materials Science & Engineering A,2017(688):134-145.