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材料的屈服函数是建立相应的塑性本构关系以及进行塑性分析的首要条件,文章基于静水压对金属材料屈服无影响以及各向同性假设,将一般屈服函数进行泰勒展开,推导出包含应力1次~4次项的新型各向同性金属材料屈服函数以及相应八阶塑性张量。通过对该屈服函数退化,得到各向同性金属材料拉压屈服性能相同和不同条件下的屈服函数。利用Lode实验结果进行验证,结果表明,该屈服函数仅包含3个材料参数,并且对拉压屈服性能相同和不同的金属材料都有较好的适用性,具有较高的工程应用价值。
The yield function of the material is the primary condition for establishing the corresponding plastic constitutive relation and for the plastic analysis. Based on the hydrostatic pressure without influence on the yield of metal material and the isotropic assumption, the general yield function is Taylor expansion, Second to fourth terms of the new isotropic metallic material yield function and the corresponding eight-order plastic tensor. By degenerating the yield function, the yield functions under the same and different conditions of tension-compression yield strength of isotropic metallic materials are obtained. The results of Lode test show that the yield function contains only three material parameters, and has good applicability to the same and different metal materials with different yield strength and tensile properties. It has high engineering application value.