激光选区熔化制备负泊松比椭圆多孔AlSi10Mg合金性能的数值模拟

将椭圆孔的长/短轴之比、短轴半轴长和初始胞元的边长作为设计参数,提出了一种简化的负泊松比椭圆多孔材料设计方法,通过几何关系建立了材料泊松比与设计参数间的数学模型,基于Gibson-Ashby模型建立了弹性模量与设计参数间的数学模型;通过准静态压缩试验对采用激光选区熔化技术制备的负泊松比椭圆多孔AlSi10Mg合金的泊松比数学模型进行验证,并确定弹性模量数学模型中的常数C。结果表明:采用所建立的泊松比与设计参数数学模型计算得到负泊松比椭圆多孔AlSi10Mg合金的泊松比与试验值相吻合,相对误差在10%~15%;椭圆长/短轴之比、短轴半轴长与泊松比呈负相关,而初始胞元边长与泊松比呈正相关;计算得到泊松比椭圆多孔AlSi10Mg合金弹性模量数学模型中的常数C约为4.123。

Numerical Simulation of Properties of Auxetic Elliptical Porous AlSi10Mg Alloy Prepared by Selective Laser Melting

A simplified design method of auxetic elliptical porous material was pointed out with major/minor axis ratio and semi-minor axis length of ellipse,and initial cell edge length as design parameters.The mathematical model between Possion′s ratio of the material and the design parameters was established by geometric relation,and the mathematical model between elastic moduli and design parameters was established on basis of Gibson-Ashby model.The Possion′s ratio mathematical model of auxetic elliptical porous AlSi10Mg alloy prepared by selective laser melting technique was verified by quasi-static compressing experiments,and the constant C of the elastic moduli mathematical model was also determined.The results show that the Possion′s ratios of auxetic elliptical porous AlSi10Mg alloy calculated by the mathematical model of Possion′s ratio and design parameters were consistent with the test results,and the relative error was 10%-15%.The ratio of major/minor axis,semi-minor axis length were negatively correlated with Posssion′s ratio,and the initial cell edge length was postively correlated with Possion′s ratio.The constant Cof the elastic moduli mathematical model of auxetic elliptical porous AlSi10Mg alloy obtained by calculation was about 4.123.