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带圆角孔口的应力集中问题是一类典型的数理力学问题,它广泛应用于工程实践中,可惜以往在这方面的研究结果却为数很少。本文在H.N.穆斯海里什维里复应力函数理论及文献[2]的基础上,研究并分析计算了下列两类荷载作用下,六十种常用带圆角孔口的应力集中问题;提出了理论计算关系式。 (1) 无限域内带圆角孔口在三种均匀应力场内的应力集中; (2) 无限域内带圆角孔口在孔边界作用有均匀荷载时的应力集中。为了便于工程应用,文中详细介绍了理论计算过程,利用最后的普遍关系式通过电算实际计算了六十种孔口的应力集中,获得了十二万个计算数据,可为工程实际方便的应用。文中以廊道型孔口及几种不同的圆角孔口为范例,系统的阐明了理论计算方法的实际应用。文中所得成果与实验结果吻合较好。本文成果已经在军工民用等工程实践中获得了重要的应用[6]。
Stress concentration problem with fillet is a kind of typical mathematical mechanics problem, which is widely used in engineering practice. However, there are few results in the past. Based on the theory of HN Moeshearsevich stress function and literature [2], this paper studied and calculated the stress concentration problems of 60 kinds of commonly used fillet holes under the following two kinds of loads: Theoretical calculation of the relationship. (1) The stress concentration in the three uniform stress fields in the infinite domain with the fillet orifice; (2) The stress concentration in the infinite boundary with the uniform circular hole at the boundary of the hole. In order to facilitate the application of the project, the theoretical calculation process is introduced in detail in this paper. The stress concentration of 60 kinds of orifices is actually calculated by using the final universal relation and 120,000 pieces of calculation data are obtained, which is practical and convenient for the project . Taking corridor-shaped orifices and several different fillet openings as an example, the paper systematically illustrates the practical application of theoretical calculation methods. The results obtained in this paper are in good agreement with the experimental results. The results of this paper have been in the military and civilian engineering practice has been an important application [6].