摘要
利用双模量材料圆轴扭转时纯剪切应力状态单元体,推导出了双模量材料剪切弹性模量表达式,求得了双模量材料圆轴扭转时轴向正应变.通过分析发现:各向同性材料圆轴纯扭转时轴向正应变为零,而双模量材料圆轴纯扭转时轴向正应变却不为零,双模量材料圆轴纯扭转时轴向正应变的大小主要受拉压弹性模量、拉压泊松比的影响.双模量材料圆轴纯扭转时轴向正应变不为零的原因是:双模量材料的拉压弹性模量、拉压泊松比均不相等,这是双模量材料固有的特点,也是双模量材料与各向同性材料的不同之处.因此,提出了双模量材料圆轴纯扭转时的平面假设:双模量材料圆轴扭转变形前,原为平面的横截面变形后仍保持为平面,形状不变,半径仍保持为直线.
Using the pure shear stress state element of circular shaft with bimodulus materials in torsion, the shear modulus expression is derived, and then the axial normal strain of circular shaft with bimodulus materials in torsion is obtained. And the analysis shows that the normal strain was zero of circular shaft in torsion with isotropic properties materials, while the normal strain was not zero with bimodulus materials. And the axial normal strain of circular shaft with bimodulus materials in torsion was mainly controlled by the tensile and compressive elastic modulus, tensile and compression Poisson ratio. The reason of axial normal strain being not zero is as follow:elastic modulus of tension and compression, tension and compression Poisson ratio are not equal. So this is the characteristic of bimodulus material, and which is different from isotropic properties materials. Therefore, the hypothesis is proposed of circular shaft with bimodulus materials in torsion:the cross section of circular shaft with bimodulus materials in torsion remains plane, and its shape remains same, radius remains as a straight line.
出处
《湖南文理学院学报（自然科学版）》
CAS
2014年第3期63-66,共4页
Journal of Hunan University of Arts and Science(Science and Technology)
基金
湖南省"十一五"重点建设学科资助(湘教通[2006]180号)
关键词
双模量
材料
扭转
剪切
应变
平面假设
bimodulous
materials
torsion
shear,strain
plane assumption
