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为了研究材料的三维弹塑性应力-应变本构,文章以胡克定律为立足点对处于弹塑性材料的应力-应变关系进行了进一步的推导,并通过三维有限元方法建立了单轴拉伸状态下的含圆孔有限厚度板模型进行应力应变分析,将其结果与所推导的应力-应变关系对比验证。对用于预测二维材料局部弹塑性应力应变场的Neuber准则,本文在三维情况下对其做了进一步验证,并将其与做了对比,证明其依然具有适用性。
In order to study the three-dimensional elastic-plastic stress-strain constitutive relationship of materials, the paper further derives the stress-strain relationship of the elasto-plastic material based on Hooke’s law and establishes the uniaxial tension state by the three-dimensional finite element method Under the limited thickness of the hole with a hole plate model for stress and strain analysis, the results of the stress-strain relationship derived comparison and verification. The Neuber criterion, which is used to predict the local elastic-plastic stress and strain field of two-dimensional material, is further validated in the three-dimensional case and compared with that of the Neuber criterion to prove its applicability.