从热力学定律出发，利用自由能函数和耗散函数，通过严格的理论推导得到屈服函数、流动法则和硬化规律。

Starting with the first and second laws of thermodynamics, the free energy function and dissipation potential function are discussed;

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这就让我们开始思考，要怎么来表示亥姆霍兹自由能,用正则配分函数？

So it becomes interesting, then, to figure out, how can we write the Helmholtz free energy in terms of the canonical partition function?

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所得自由能是温度的解析函数。

The free energy is analytic function in temperature.

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In other words, now I know how to tell how the Helmholtz free energy changes as a function of temperature.

换句话说，我现在知道如何写出亥姆赫兹,自由能作为温度的函数。

麻省理工公开课 - 热力学与动力学课程节选

It turns out we can express all these functions in terms of G, G we wouldn't need to choose G, but it's a very useful function to choose.

最终我们能把所有的这些函数,用自由焓G表示出来，我们没有必要选择，但是这个选择很有用。

麻省理工公开课 - 热力学与动力学课程节选