Conditions for crack initiation in an orthotropic bi-material corner determined by means of the strain energy density factor

0354558 - ÚFM 2011 RIV TW eng C - Konferenční příspěvek (zahraniční konf.)
Profant, T. - Klusák, Jan - Kotoul, M.
Conditions for crack initiation in an orthotropic bi-material corner determined by means of the strain energy density factor.
Multiscaling of Synthetic and Natural Systems with Self-Adaptive Capability. Taipei: National Taiwan University of Science and Technology, 2010 - (Sih, G.; Chao, C.), s. 149-152. ISBN 978-986-02-3909-6.
[International Conference on Mesomechanics /12./. Taipei (TW), 21.06.2010-25.06.2010]
Grant CEP: GA ČR GA101/08/0994; GA ČR GAP108/10/2049
Výzkumný záměr: CEZ:AV0Z20410507
Klíčová slova: orthotropic bi-material corner * stability criterion * strain energy density factor
Kód oboru RIV: JL - Únava materiálu a lomová mechanika

A bi-material notch composed of two orthotropic parts is considered. The stress components and the strain energy density are expressed using the Stroh-Eshelby-Lekhnitskii formalism for 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. Generally, there is more than one solution of this eigenvalue problem and consequently the stress intensity factors. The potential direction of crack initiation is determined from the local minimum of the mean value of the 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 stress intensity factor can be obtained.
Trvalý link: http://hdl.handle.net/11104/0193536