新型Ti-Al金属间化合物多孔材料有效泊松比的理论表征  

Theoretic characterization on poisson's ratio characterization of new Ti-Al intermetallic porous material

作　　者：苏淑兰[1] 饶秋华[2] 贺跃辉[3] SU Shulan RAO Qiuhua HE Yuehui(College of Civil Engineering and Mechanics, Central South University of Forestry ＆ Technology, Changsha 410004, China School of Civil Engineering, Central South University, Changsha 410075, China Powder Metallurgy Research Institute, Central South University, Changsha 410083, China)

机构地区：[1]中南林业科技大学土木工程与力学学院,长沙410004 [2]中南大学土木工程学院,长沙410075 [3]中南大学粉末冶金研究院,长沙410083

出　　处：《粉末冶金材料科学与工程》2017年第3期301-306,共6页Materials Science and Engineering of Powder Metallurgy

基　　金：国家自然青年科学基金项目(11502307);湖南省自然青年科学基金项目(2016JJ3187);湖南省教育厅一般项目(14C1189);中南林业科技大学引进高层次人才科研启动基金

摘　　要：基于新型Ti-Al金属间化合物多孔材料真实孔隙的空间结构特征,采用三维八面体结构模型,首次通过能量法推导出表征多孔材料有效泊松比的理论公式,给出有效泊松比与其相对密度的显式表达式。并以圆形截面的孔棱为例,将本文有效泊松比与已有结果进行比较。结果表明:本文方法表征有效泊松比理论公式的推导过程更简单直接,所得结果更合理可靠。同时分析了孔棱横截面的几何形状和孔棱变形时剪力对有效泊松比的影响规律。分析表明,两者对有效泊松比的影响均随相对密度增大而增加,当相对密度较大时必须考虑剪力的影响。Based on pore spatial structure features of the new Ti-AI intermetallic porous material, a three-dimensional octahedral model was used to firstly deduce the calculation formula of its effective Poisson＇s ratio by the energy method and an explicit expression between effective Poisson＇s ratio and relative density was obtained. Meanwhile, the effect of cross-section shape and shear force of pore-edge on effective Poisson＇s ratio was analyzed. Compared with the present calculation formulas of Poisson＇s ratio with circular cross-section pore-edge as an example, this result is more reasonable and reliable for porous material and the derivation process is more direct and effective for Poisson＇s ratio characterization by the energy method. The results show that the effect of cross-section shape and shear force increase with the increase of the relative density and the shear force of pore-edge must be considered if the relative density is larger.

关 键 词：Ti-Al金属间化合物 多孔材料 八面体模型 能量法 泊松比 

分 类 号：TB383[一般工业技术—材料科学与工程]