Affiliation:
1. Sichuan University Department of Civil Engineering and Applied Mechanics Chengdu, Sichuan 610065, People's Republic of China
Abstract
First, based on an approximate analysis, simple closed-form expressions of the stress concentration factor (SCF) for two- or three-dimensional models with a circular hole or a spherical cavity in a finite domain are derived. Then, an asymptotic method is adopted to improve the accuracy of the derived solutions for an extremely large circular hole or spherical cavity, when the remaining ligament approaches zero. Exact limit SCF values for these two kinds of models were given by Koiter; these values are used for the adjustment of the coefficients in the SCF expressions. Finally, simple SCF formulae for these finite domain problems are obtained, their accuracy is demonstrated to be very good by comparison with the available data from the literature, and the asymptotic validity is guaranteed.
Subject
Applied Mathematics,Mechanical Engineering,Mechanics of Materials,Modelling and Simulation
Cited by
23 articles.
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