纸张材料弹性模量与剪切模量的关系

研究了正交各向异性的纸张的各个材料参数之间的关系,以减少描述纸张材料性能所需的独立参数,并在纸制结构分析中,合理匹配了材料参数。通过对材料单元在纯剪切载荷作用时与纯主应力载荷作用时的两种变形进行力学比较分析,获得了纸张的弹性模量、剪切模量和泊松系数之间的关系,并导出了简单数学公式。该公式在纸制结构设计、振动分析以及有限元计算等方面有实用的意义。

Relationship between Elastic Modulus and Shear Modulus of Paper

The relationship among material parameters of orthotropic paper was studied to reduce the independent parameters of paper performance for reasonable parameter matching in paper structure. The deformations of material unit in pure shear loading and pure normal stress loading were compared. The relationship among elastic modulus, shear modulus and Poisson''s ratio was obtained and a simple mathematic equation of the relationship was educed. The purpose was to provide reference structure design, deformation calculation, vibration analysis and FEM simulation of orthotropic paper.