一、问题的引出从数学上证明用Gibb_8热力学函数导出橡胶弹性热力学公式是完全可行的。在橡胶弹性热力学理论中,有一个重要的公式,即: r=(((?)U)/((?)L))_(T·V)-T(((?)S)v/((?)L))_(T,V) (1-1)式中f、U、T、S和L分别为张力,内能、温度、熵和橡皮长度。此式描写了橡胶在外力作用下的行为,说明了橡胶张力产生的主要原因。然而,要从实验上研究橡胶的性能运用(1—1)式是不方便的。因此,人们总是把上式中 First, the problem leads to mathematical proof that the use of Gibb_8 thermodynamic function derived rubber elastic thermodynamic formula is completely feasible. In rubber elastic thermodynamic theory, there is an important formula, namely: r=(((?)U)/((?)L))_(T·V)-T((())S/() () L)) (T, V) (1-1) where f, U, T, S, and L are tension, internal energy, temperature, entropy, and eraser length, respectively. This type describes the behavior of rubber under external forces and explains the main reason for rubber tension. However, it is inconvenient to experimentally study the performance of rubber (1–1). Therefore, people always put the above formula