泊松比与体积应变和轴向应变的关系

Relationship between Poisson's Ratio and Volumetric Strain and Axial Strain

通过对等直杆微元体的变形进行分析,得到了泊松比与体积应变和轴向应变之间的函数关系式。依据该关系式分析得出结论:对于变形过程中体积变化较小的材料,泊松比接近上限0.5;对于变形过程中体积变化较大的材料,泊松比接近下限0;弹塑性泊松比介于弹性泊松比和塑性泊松比之间。

Based on analysis on the deformation of micro elements of the prismatic straight rod,the functional relationship between volumetric strain,axial strain and Poisson＇s ratio was concluded.By analyzing the relationship formulas,it is concluded that：for materials with small volume change during the deformation,Poisson＇s ratio was close to the upper limit of 0.5;for materials with large volume change during the deformation,Poisson＇s ratio was close to the lower limit of 0;the elastic-plastic Poisson＇s ratio was between the elastic Poisson＇s ratio and the plastic Poisson＇s ratio.