Title: Transient load concentration caused by an asymmetric break in a lamina via finite difference method

Authors: Erfan Mirshekari; Arash Reza

Addresses: Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, 61349-37333, Iran ' Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, 61349-37333, Iran

Abstract: The present study focuses on the transient stress concentration caused by a break in the fibres of a fibre-reinforced single layer. Shear-lag theory is applied for deriving the governing equations. Governing differential equations of system is partial and the explicit finite difference method is used for solving them. This paper is concerned on the transient load concentration factor in the adjacent intact fibres of a break. To validate this work, the steady state load concentration factor has been compared with the analytical static solution. A good agreement was observed in both approaches. The results show that closing the location of broken fibre to the edges, increases the value of stress concentration factor. Also, it can be seen that the transient load concentration has an adverse relationship with the spacing between the fibres and its value reduces by increasing this parameter.

Keywords: transient stress; finite difference method; FDM; stress concentration; unidirectional fibrous lamina; asymmetric breaks; shear-lag theory; fibre breaks; broken fibres; fibre spacing.

DOI: 10.1504/IJMMP.2015.074996

International Journal of Microstructure and Materials Properties, 2015 Vol.10 No.5/6, pp.435 - 444

Received: 29 Apr 2015
Accepted: 12 Nov 2015

Published online: 28 Feb 2016 *

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