2015-Sustainable Industrial Processing Summit
SIPS 2015 Volume 1: Aifantis Intl. Symp. / Multiscale Material Mechanics
| Editors: | Kongoli F, Bordas S, Estrin Y |
| Publisher: | Flogen Star OUTREACH |
| Publication Year: | 2015 |
| Pages: | 300 pages |
| ISBN: | 978-1-987820-24-9 |
| ISSN: | 2291-1227 (Metals and Materials Processing in a Clean Environment Series) |
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Analysis of Anisotropic Finite Cracked Wedge under Antiplane Shear Loading
Hamid Ghasemi1;1, Qazvin, Iran (Islamic Republic of Iran);
Type of Paper: Regular
Id Paper: 387
Topic: 1
Abstract:
In this study, we are going to present a method for solving the differential equation which is governed to an anisotropic finite cracked wedge. The wedge's radial boundaries are traction–traction and the circular boundary of the wedge is considered as a fixed displacement condition. Because the circular boundary of the wedge has never been fixed in previous studies, thus an appropriate mapping and semi first and second kind of finite Mellin transforms are presented in the solution procedure of the problem. According to the aforementioned mathematical operations, new complex functions based on fixed displacement boundary conditions on the circular segment of the wedge is defined. By inserting this novelty to the problem, the corresponding equations have been developed. Then, the governing singular integral equation is extracted using the complex functions regarding to radial boundary conditions. Finally, the corresponding integral equation is solved numerically and the results are plotted.