横向增强芯材的等效弹性模量研究  

Research on the Equivalent Modulus of Elasticity of Transverse Reinforced Core Materials

作　　者：李飘[1] 陈美霞[1] 罗琦[1] 

机构地区：[1]华中科技大学船舶与海洋工程学院,湖北武汉430074

出　　处：《中国舰船研究》2013年第2期65-72,共8页Chinese Journal of Ship Research

基　　金：国家自然科学基金资助项目(51179071);中央高校基本科研业务费资助项目(2012QN056)

摘　　要：为研究横向增强芯材的等效弹性模量,首先采用基于Eshelby等效夹杂原理的Mori-Tanaka方法,求解出包含横向增强构件的复合材料夹芯板中芯层的等效弹性模量。同时,采用有限元软件ANSYS对芯材元胞进行数值模拟并计算出等效弹性模量,其与Mori-Tanaka方法的计算结果误差基本在5%以内,验证了Mori-Tana ka方法的准确性。在此前提下,继续研究基体和增强构件的弹性模量及尺寸参数等因素对复合芯材等效弹性模量的影响规律。研究结果表明,Mori-Tanaka方法能够有效地用来进行横向增强芯材的等效处理,具有较高的准确性;基体和增强构件的弹性模量及尺寸对厚度方向的等效杨氏模量和面内泊松比影响显著,而对面内等效杨氏模量和厚度方向的泊松比影响较小。In order to investigate the equivalent modulus of elasticity for the transverse reinforced core ma- terial, the Mori-Tanaka method, based on the Eshelby theory, is first applied to obtain the equivalent mod- ulus of elasticity of the core material embedded in a composite sandwich plate. The numerical simulation is then conducted via the ANSYS code package to obtain the equivalent modulus of elasticity for a unit cell, and the simulation results are compared with those calculated with the Mori-Tanaka method, which re- veals a difference less than 5%. On this premise, further research is conducted to investigate the effects of variable Young modulus and related matrix sizes on the equivalent modulus of elasticity of the composite core material. The results indicate that the transverse effective elastic Young modulus and in-plane Pois- son ratio can be easily affected by changing parameters, yet less influence is observed for the in-plane Young modulus and the transverse Poisson ratio.

关 键 词：等效弹性模量 Eshelby等效夹杂原理 Mori—Tanaka方法 横向增强 复合材料 有限元 

分 类 号：U661.42[交通运输工程—船舶及航道工程]