Plastic zones in an orthotropic plate of finite width containing a Griffith crack

Abstract

The problem of an orthotropic infinite plate of finite width containing a centrally located stressed Griffith crack is considered. The crack is located perpendicular to the edges of the orthotropic plate. The crack tips are fully yielded and in the inelastic zones the material carries only constant normal stresses equal to the yield stress. Dugdale's model is employed to find the effects of the material anisotropy on the size of the plastic zones around the crack tips. Graphical results showing the effects of anisotropy on the length of the plastic zone are also presented.

Plastic Deformation at the Tip of an Edge Crack

“…Recently some of the authors of the papers [5][6][7][8][9][10][11][12] have contributed significantly to penny and line crack problems in elastic solids by using the Dugdale hypothesis. It is also important to mention the work by Olesiak and Shadley [13], Olesiak and Wnuk [14], and Tsai [15] for a penny-shaped crack, by Wang and Shen [16], by Herrmann and Wang [17] for thermal loading, and by Smith [18] for the stability problem.…”

Closed-form solution for the size of plastic zone in an edge-cracked strip

“…A number of solutions for notches, cracks and spatial penny-shaped cracks under anti-plane or in-plane deformations were obtained using the Dugdale hypothesis, for example, see recent works by Singh and coworkers [2][3][4][5][6][7][8][9][10], Olesiak and Wnuk [11], Olesiak and Shadley [12], Tsai [13], Fan [14,15], Wang and Shen [16]. It is also important to mention the early work by Atkinson and Howard [17], Bilby et al [18], Field [19], Koskinen [20], Rice [21], Smith [22].…”