General analytical solution for stress intensity factor of a hypocycloid hole with many cusps in an infinite plate.

• Main Authors: Nik Long, Nik Mohd Asri, Yaghobifar, Mohammad
• Format: Article
• Language: English; English
• Published: Taylor & Francis 2011
• Online Access: http://psasir.upm.edu.my/id/eprint/24852/1/General%20analytical%20solution%20for%20stress%20intensity%20factor%20of%20a%20hypocycloid%20hole%20with%20many%20cusps%20in%20an%20infinite%20plate.pdf; http://psasir.upm.edu.my/id/eprint/24852/; http://www.tandf.co.uk/

In this article, the problem for the determination of the displacement functions and the stress intensity factors (SIFs) around a boundary of a hypocycloid hole with cusps in an infinite elastic plate subject to normal and shear stresses are presented. A hole with cusps (hypocycloid) is mapped onto a unit circle and the modified complex potential is used for solving the relevant boundary value problems. An analytical solution for the SIF of a hypocycloid hole is obtained. For a special case, our results agree with others.