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在塑性本构关系的研究中,人们一直延用着单一曲线假设和维象理论的屈服条件.因此,不但使得塑性变形过程中的理论问题得不到解决,而且由此得到的本构关系只能近似地用于少数塑性性能很好的材料.本文在作者于1984年导出的σ_m,τ_p,S_2空间内对塑性变形进行分析,根据相似曲线假设和在σ_m,τ_p,S_2空间建立的更加理性化的屈服条件建立的全量本构关系,较好地描述了各种工程材料在各种应力状态作用下的塑性变形规律及塑性变形时的体积变化规律.根据σ_m,τ_p,S_2以及它们各自引起的变形的相互独立性,还较好地解决了偏离简单加载的问题,并从理论上提出了材料在拉伸时失稳的原因.使塑性力学中的几个疑难问题得到了解决.为建立一个与材料变形行为一致的更加理性化的新塑性理论体系奠定了基础.
In the study of plastic constitutive relations, people have been using the single curve hypothesis and the yield condition of the theory of dimensional image, so not only the theoretical problems in plastic deformation can not be solved, but the constitutive relation Which can be approximated to a few materials with good plasticity.In this paper, the plastic deformation is analyzed in the σ_m, τ_p, S_2 space derived by the author in 1984, and based on the similar curve assumption and the more rational in σ_m, τ_p, S_2 space Plastic yielding conditions to establish a full set of constitutive relations, a good description of a variety of engineering materials under various stress conditions plastic deformation law and the volume of plastic deformation of the law of change according to σ_m, τ_p, S_2 and their each caused Of the deformation of the mutual independence, but also a better solution to the problem of deviation from the simple loading, and put forward in theory the reason for the instability of the material in tension, so that several difficult problems in plastic mechanics have been resolved for the establishment A foundation of a more rational new theoretical system of plasticity that is consistent with the deformation behavior of materials is laid.