皮革蠕变性能的三维数学模型研究

Three-dimensional Mathematics Model of Leather Creep Behavior

在皮革顶伸状态下蠕变性能研究中,采用2个单元的修正广义Kelvin模型,对不同载荷下的应变(ε)-时间(t)关系曲线进行了拟合,并用一元三次多项式拟合出了皮革在顶伸状态下的应变(ε)-负荷(F)关系曲线;采用补充数据的方法,拟合出应变(ε)-负荷(F)-时间(t)关系的三维曲面模型,并通过该模型可以在一定的范围内对皮革的蠕变性能进行预测,可以计算出皮革在特定条件下的蠕变性能参数。

In the study of leather creep behavior under lastometer state, a modified generalized Kelvin model with two Kelvin units was used to simulate the relationship of strain（ε） -time （t）, and one monadic cubic polynomial was used to simulate the relationship of strain（ε） - force（F） , under different loads. A three - dimensional mathematics model with strain（ε） - force（F） - time （t） relation was simulated by adding data method. According to this three - dimensional mathematics model, leather creep behavior at different loads can be predicted, and parameters of leather creep behavior can be calculated in the certain range.