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基于Huang(北京大学)和Wang(北京大学)的理论和热力学第二定律,研究了有限变形下闭孔泡沫铝的非线性压缩行为。通过引入内变量及内变量的演化方程,给出了有限变形下同时考虑细观结构参数和黏性效应的有效幂律势函数及相应的应力表达式。基于所提出的理论模型,通过算例讨论了细观力学方法、孔隙度和黏性效应对泡沫铝应力-应变曲线的影响规律。结果表明:模型预测与实验结果基本一致,且随着黏性系数的增大,考虑黏性效应的模型预测趋向于未考虑黏性效应时的模型预测。
Based on the theorem and the second law of thermodynamics of Huang (Peking University) and Wang (Peking University), the nonlinear behavior of closed-cell aluminum foam under finite deformation was studied. By introducing the evolutionary equations of internal variables and internal variables, the effective power-law potential functions and the corresponding stress expressions for both the microstructure parameters and the viscous effects under finite deformation are given. Based on the proposed theoretical model, the influences of the meso-mechanics method, porosity and viscous effect on the stress-strain curve of aluminum foam were discussed. The results show that the model predictions are in good agreement with the experimental ones. And with the increase of the viscosity coefficient, the model prediction considering the sticky effect tends to predict the model without considering the sticky effect.