Calculation on stress intensity factory by V-line hybrid extrapolation method --application to finite element analysis--

摘要

One of the authors has derived K (r, θ), namely the equation of extrapolation curve in a series and proposed a new short-cut method called V4ine extrapolation method. Also, it was reported there are the specific angles at which we can obtain an accurate stress intensity factor by using boundary element analysis. In this paper, an application of the V-line hybrid extrapolation method was conducted to finite element analysis by an approximate angle which is easy to use. At first, it is found that the accuracy of S.I.F is considerably improved by using the angles, i.e. σ{sub}y at θ = π/2, τ{sub}(xy) at θ = π/4 in a plate with a central slant crack under remote tension. Furthermore, the effects of element types to the accuracy were discussed. It is clarified that the accuracy for K{sub}1 by the V4ine hybrid extrapolation method applying to 4 nodes-element is much better than the one by the conventional method applying to 8 nodes-element.