A proof of geotechnical materials not in agreement with Drucker's postulate
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摘要: 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。Abstract: The Drucker`s postulate is the basis of the normality rules in plasticity, but a lot of experiments indicate that the rock and soil materials do not follow the Drucker`s postulate, and that the non-normality rules are fitter for the experiments. The problem is: what is the theoretical basis of the non-normality rules? This paper proves that the Drucker`s postulate is not suitable for the friction materials such as geological materials through the process that the stress cycling of a simple friction body does work, and that the normality rules in the stress space are also not suitable for the friction materials, hence the Drucker`s postulate is not the axiom that must be followed, and the non-normality rules can be used. It is also proved that the Ильюшина postulate that the strain is used as the state variable has a larger scope of application.
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Keywords:
- geotechnical material /
- friction material /
- Drucker's postulate
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