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Relationship between J-integral and averaged strain-energy density for U-notches in the case of large control volume under Mode I loading |
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| Authors: | Ehsan Barati Younes Alizadeh Jamshid Aghazadeh Mohandesi |
| Affiliation: | aMechanical and Aerospace Engineering Department, Malek-Ashtar University of Technology, Shahinshahr, Esfahan, Iran;bMechanical Engineering Department, Amir Kabir University of Technology, Tehran, Iran;cMetallurgical Engineering Department, Amir Kabir University of Technology, Tehran, Iran |
| Abstract: | The main purpose of this technical note is to present a relationship between J-integral and averaged strain-energy density ( ) in U-notches under Mode I loading for brittle or quasi-brittle materials. In this work, control volume includes the rectilinear edge of the notch in addition to semi-circular arc of the notch root. A dimensionless function (f) between J and  has been presented in this paper. Finite element analysis has been used for verification. It is found that this relationship is identical for tension or bending loading. |
| Keywords: | Elastic&ndash plastic fracture mechanics U-notches J-integral Averaged strain-energy density Control volume |
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