模糊弹粘塑性问题及其解的唯一性和存在性

Promblem of Fuzzy Elasto-Visco-lasticity and Uniqueness and Existence of the Solution

本文基于模糊集提出了模糊弹粘塑性力学问题。为使模糊屈服面明朗化,文中引入了与模糊集截集相应的模糊屈服函数族。并巧妙地将隶属函数和屈服函数联系起来。在模糊集下的闭凸集意义上,给出了模糊弹粘塑性问题的变分表述,进而论述了问题解的唯一性和存在性。

This paper presents a mechanics problem of fuzzy elasto—viscoplasticity based on the theory of fuzzy sets. Fuzzy yield functions corresponding to he cut—set of fuzzy sets are introduced for the obviousness of fuzzy yield surface, and the membership function is ingeniously related with yield function. The variational description of fuzzy elasto—viscoplasticity is given under the closed convex set of fuzzy sets. Fourthcrmore, the uniqueness and exisience of solutions are studied