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Drucker公设是塑性力学中正交流动法则的基础,但岩土材料的很多试验表明是不符合Drucker公设的,认为非正交流动法则更符合试验结果,而非正交流动法则一直缺乏理论基础。通过一个简单摩擦体的应力循环做功过程,证明了Drucker塑性公设是不适用于岩土等摩擦类材料的,因而Drucker公设并不是必须要遵守的公理,摩擦类材料并不受Drucker公设的限制,因而应力空间的正交流动法则并不适用于岩土等摩擦类材料,而非正交流动法则是可用的。同时,以应变作为状态变量的伊留申公设则具有较大的适用范围。
Drucker’s public is the basis of orthogonality in plastic mechanics. However, many tests of geomaterials show that it is not in conformity with Drucker’s public assumption. Non-orthogonal laws of motion are more in line with experimental results. Non-orthogonal laws of motion have been lacking in theory. Through a stress-cycled work process of a simple friction body, it is proved that the Drucker plasticity is not applicable to geotechnical and other friction materials. Therefore, Drucker’s public utility is not an axiom to be obeyed. The friction material is not limited by Drucker’s public policy. Therefore, the law of orthogonal flow in stress space is not suitable for geotechnical and other friction materials, but non-orthogonal law of flow is available. At the same time, the Iliushchenian public utility that takes strain as a state variable has a larger scope of application.