低速冲击下短纤维复合材料本构方程研究

借助ZWT非线性粘弹性一维本构关系,导出了常应变率条件下,热固性聚合物不含时间变量和积分项的、简化的、三次多项式型本构方程;采用细观力学方法,将建立在线弹性理论之上的Eshelby等效包容体理论推广应用于非线性弹性问题.在上述工作基础之上,结合应变率影响,提出了低速冲击下随机分布短纤维复合材料的一维率相关本构方程;把方程预测结果与实验结果对比,发现吻合很好,因而初步验证了所提本构方程的可靠性.

Study on Constitutive Equation of Short-Fibre Composites Subjected to Low Velocity Impact

With the help of ZWT one-dimensional non-linear viscoelastic constitutive relations,the simple and tripolynomial constitutive equation of thermoset polymers,which does not contain time variable and integral function,is deduced under constant strain rates conditions.By means of micromechanics,the theory of Eshelby Equivalent Inclusion,which was based on linear elastic theory,is extended applied to solving non-linear elastic problem.Then,the one-dimensional rate-dependence constitutive equation of random short-fibre composites being adapted to low velocity impact and considering the strain rate factor is advanced.It is found that the calculating results by the equation very tally with the testing outcomes.Therefore,the reliability of the constitutive equation, which is proposed in this paper,is preliminary verified.