The Proceedings of the Materials and Mechanics Conference
Online ISSN : 2424-2845
2012
Session ID : OS2008
Conference information
OS2008 Estimation of Stress Fields near Notch Roots in Real Plates Subjected to Large Deflections with Strain Data and Analytic Functions
Naoki MORITAToyomitsu HARADAHiroshi NOGUCHI
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Abstract
This study aims to estimate of stress fields of real notched plates that are subjected to large deflections. The general solutions of von Karman equations on this problem does not exist, therefore the authors try to estimate a stress fields of large deflection problem by superposing stress fields of two soluble linear problems, a bending problem and a plane problem. This paper provides the approximate procedure to estimate of stress fields in a circular-holed plate subjected to large deflections using strain gages and the equations on stress fields near a notch root in a plate subjected to out-of-plane bending and in-plane deformation. Unknown coefficients of the equations are determined by the stress values from rosette-type strain gages using the method of least squares. The rosette-type strain gages are located on circular arc whose radius is 1.5 times the notch root radius. The estimated maximum stress values at a notch root are compared with those by the finite element analyses. The estimated results are approximate to those by the finite element analyses in the cases when the ratio of the maximum deflection to the plate thickness is less than 0.8. In these cases, the membrane stress is large enough for problems of large deflection.
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© 2012 The Japan Society of Mechanical Engineers
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