复合材料单向板横向弹性模量E_T的细观力学分析

Micromcchanics Analysis of Transverse Elastic Modulus E_T for Single Layer Composit

单层板横向弹性模量主要由基体控制,然而纤维的存在制约了基体的变形,从而间接地影响着横向弹性模量.由于纤维的纵向弹性模量远远高于基体的弹性模量,基体的纵向变形受到了纤维的制约而处于面内二向应力状态.本文在矩形模型的基础上进行了二向应力状态的修正.经与目前普遍认为可行的 Halpin-Tsai 半经验公式进行比较,二者具有同等的精确性,而本文在理论上和逻辑上更具有简单性和合理性.

Transverse elastic modulus of single layer composit is controlled by matrix,however,fibers constraine the deformation of the matrix and this affects the transverse elastic modulus.Since the transverse elastic modulus of fibers is much higher than the one of matrix,the transverse deformation of the matrix is con- strained by fibers so that the deformation is in a two dimensional stress state.Comparing with popular Halpin—Tsai empirical formula,two results have the same accuracy.The analysis in this paper is theoretically and logically simpler and more reasonabie.