Affiliations: [a] Faculty of Sciences and Technology, Acoustics and Civil Engineering Laboratory, Khemis Miliana University, Khemis Miliana, Algeria | [b] Department of Structures and Materials, Civil Engineering Faculty, Built Environmental Research Lab, University of Sciences and Technology Houari Boumediene, Bab Ezzouar, Algeria | [c] Department of Mathematics, Faculty of Sciences and Technology, University of Khemis-Miliana, Khemis Miliana, Algeria
Abstract: The main goal of this research is to evaluate the strain energy in a brittle material during the interaction of the semi-infinite crack with a neighboring micro-crack. The problem is formulated by considering a cracked thin plate having a micro-crack that rotates around itself and around the semi-infinite crack whose the cracked plate is subjected to a uniform load under mode I. During the interaction between the semi-infinite crack and micro-crack, the strain energy and stress field can be generated at the crack tip of semi-infinite crack. The theoretical analysis of this interaction is treated mathematically by the complex potentials functions. It is shown that the positioning of the micro-crack relative to the semi-infinite crack leads to amplification, reduction and absorption of the strain energy at the crack-tip. The theoretical results agree with those found numerically.
