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本文从Илъюшин公设出发评述了在应变空间中研究岩土弹塑性问题的必要性和特点.建立了应力不变量与弹性应变不变量之间的关系式,实现了应力屈服面到应变屈服面的转换,导出和讨论了十二个以应力表达的屈服准则的应变表达式.应用正交法则导出了十二个与上述应变屈服准则相联系的理想塑性材料的本构关系.本文工作的结果可供实际应用,并有助于应变空间塑性理论的进一步研究.
This paper reviews the necessity and characteristics of studying elasto-plastic problems of rock and soil in strain space from the public design of Илъюшин. The relationship between stress invariants and elastic strain invariants is established, and the transformation from stress yield surface to strain yield surface is realized. The strain expressions of twelve yield criteria expressed in terms of stress are derived and discussed. By using the orthogonal method, twelve constitutive relations of ideal plastic materials associated with the above-mentioned strain yield criterion are derived. The results of this work are available. Practical application and contribute to the further study of strain space plasticity theory.