A study of the stability of sharp notches in the orthotropic heterogeneous media

0354567 - ÚFM 2011 RIV IT eng C - Conference Paper (international conference)
Profant, T. - Klusák, Jan - Kotoul, M.
A study of the stability of sharp notches in the orthotropic heterogeneous media.
Proceedings of ICMFF9. Parma: University of Parma, 2010 - (Carpinteri, A.), s. 733-740. ISBN 978-88-95940-31-1.
[International Conference on Multiaxial Fatigue and Fracture. Parma (IT), 07.06.2010-09.06.2010]
R&D Projects: GA ČR GAP108/10/2049; GA ČR GA101/08/0994
Institutional research plan: CEZ:AV0Z20410507
Keywords : Orthotropic bi-material notch * composite materials * crack initiation
Subject RIV: JL - Materials Fatigue, Friction Mechanics

The bi-material notch composed of two orthotropic parts is considered. The radial and tangential stresses and strain energy density are expressed using the Stroh-Eshelby-Lekhnitskii formalism for the plane elasticity. The stress singular exponents and corresponding eigenvectors are the solution of the eigenvalue problem leading from the prescribed notch boundary and compatibility conditions. In generally, there is more than one solution of this eigenvalue problem and consequently the generalized stress intensity factors. The potential direction of the crack initiation is determined from the maximum mean value of the tangential stresses and local minimum of the mean value of the generalized strain energy density factor in both materials. Following the assumption of the same mechanism of the rupture in the case of the crack and the notch, an expression can be obtained for the critical values of the generalized stress intensity factor.
Permanent Link: http://hdl.handle.net/11104/0006269