有限要素法による半円切欠き丸棒の応力集中率及びひずみ集中率の解析

概要

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The problem of elastic-plastic tension of the one-semicircular grooved shaft is numerically investigated by means of the finite element method. The stress and strain distributions at the notch root of the grooved shaft are obtained. The validity about the relationship between stress and strain concentration factors Neuber proposed, saying that the geometric mean of stress and stain concentration factors is equal to the linear elastic stress concentration factor, is discussed by making use of the numercally analyzed results. The analyzed results of the plastic strain concentration are compared with the results gotten out of the precision strain gage measurment. We come to the following conclusions. The stresses in the axial and the tangential direction on the minimum cross section of the notched bar have their maximum values, both axial and tangential, inside of the notch root. This tendency is more clearly observed in the sharp notch than in the blunt notch. The strain gradient near the notch root is presented in the following equation: [numerical formula] The Neuber's equation evaluates more than the value of the stress and strain by the finite element method. The concentration ratios caluculated for the one-semicircular grooved shafts are in good agreement with the strain gage measurement.
高山自動車短期大学の論文
1980-01-31