瓦楞纸板本构模型参数识别方法

目的 解决瓦楞纸板的本构模型参数识别难题,建立一个数学函数较为简单的本构方程.方法 采用正弦函数和正切函数分别表征应力-应变曲线的波动部分和压实部分,正弦正切函数组合构建瓦楞纸板本构方程,利用参数识别软件得到瓦楞纸板本构模型中的参数.结果 实验结果得出,应力-应变曲线与理论应力-应变曲线的平均相对误差均小于5％.结论 本构模型中的参数比现有文献中的本构参数数量少,利用软件能简化本构模型参数识别过程,提高了计算效率.参数识别软件的运用为瓦楞纸板力学应用提供了方便.

Method to Determine Parameter Results of Constitutive Modelling of Corrugated Paperboard

In order to solve the problem of parameter identification of corrugated cardboard constitutive model and establish a constitutive equation with simple mathematical function. The sinusoidal function and tangent function were used to represent the undulating part and the compacted part of the stress-strain curve, respectively. The sinusoidal tangent function was used to construct the constitutive equation of corrugated cardboard, and the parameters in the constitutive model of corrugated cardboard were obtained by using parameter recognition software. The average relative errors between the experimental and theoretical stress-strain curves are less than 5%. Based on the stress-strain relationship of single corrugated cardboard and the original constitutive equation, the sine tangent constitutive equation is proposed. Based on sinusoidal tangent constitutive equation, parameter identification software is used to obtain the parameter results of constitutive equation. The application of this software provides convenience for mechanical application of corrugated cardboard. The number of constitutive parameters in the constitutive model is less than that in the existing literature, and the process of parameter identification in the constitutive model can be greatly simplified by using software, and the calculation efficiency is improved.