Analysis of the crack initiated from the orthotropic bi-material sharp notch

0370068 - ÚFM 2012 RIV CZ eng K - Konferenční příspěvek (tuzemská konf.)
Profant, T. - Klusák, Jan - Kotoul, M.
Analysis of the crack initiated from the orthotropic bi-material sharp notch.
Engineering Mechanics. Praha: Institute of Thermomechanics AS CR, v.v.i, 2011 - (Fuis, V.), s. 491-494. ISBN 978-80-87012-33-8.
[Engineering Mechanics 2011. Svratka (CZ), 09.05.2011-12.05.2011]
Grant CEP: GA ČR GAP108/10/2049
Výzkumný záměr: CEZ:AV0Z20410507
Klíčová slova: Orthotropic * Bi-material notch * LES formalism
Kód oboru RIV: JL - Únava materiálu a lomová mechanika

Under the consideration of the bi-material notch composed of two orthotropic materials the potential direction of the crack initiated from the notch tip 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 for the critical values of the generalized stress intensity factor can be obtained. The radial and tangential stresses and strain energy density are expressed using the Lekhnitskii-Eshelby-Stroh (LES) 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.
Trvalý link: http://hdl.handle.net/11104/0203977