A new practical equation for evaluation of strain-energy density distribution and J-integral in plates with blunt V-notches under bending loading

作者：Barati Ehsan^*; Mohammadi Abbas

来源：Materials & Design, 2013, 46: 873-880.

DOI：10.1016/j.matdes.2012.11.019

• Blunt V-notch
• J-integral
• Strain-energy density distribution

The main aim of the present paper is providing a new practical equation for evaluation of the J-integral in plates with blunt V-notches under bending loading. Although some closed-form solutions exist in the literature, the present equation is useful as a rapid engineering purpose.
The distribution of the strain-energy density (SED) over the semi-circular arc of the notch root has been evaluated by means of finite element analyses using ANSYS software. The effect of the notch acuity (a/rho), the specimen width to the notch depth ratio (w/a), and the notch angle (2 alpha) on the strain-energy density distribution have been studied. In these studies the parameters were chosen as 4 <= a/rho <= 200, 2 <= w/a <= 100, and 30 <= 2 alpha <= 150; from which a total of 800 models were analyzed. The J-integral has been evaluated using the strain-energy density distribution over the notch root. The semi-circular arc of the notch root, which is traction-free, has been used as integration path. The J-integral evaluated by means of proposed numerical relations was compared with that calculated by closed-form solutions, and good agreement was found.

• 出版日期2013-4