Dynamics of Cracks with Interacting Faces

Professor  Igor A. GUZ 

Sixth Century Chair in Solid Mechanics

Head of School of Engineering

University of Aberdeen

Fraser Noble Building, Aberdeen AB24 3UE, Scotland

e-mail: i.guz@abdn.ac.uk

The presence of cracks and delaminations considerably decreases the strength and the lifetime of engineering structures as well as significantly increases the cost of exploitation. In particular, localized damage in form of micro-cracks or delaminations often occurs at the bonding surfaces between two materials of the same or different mechanical properties. The elastodynamic response of intra- and inter-component cracks to an elastic wave is a topic of long standing interest. The overwhelming majority of studies focus on the wave diffraction problems for a crack in homogeneous materials. They also neglect the contact interaction of crack faces in spite of the evident significance of this factor. Only the recent works consider the non-linear effects due to the crack closure under dynamic loading. However, inter-component cracks received considerably less attention than cracks in homogeneous materials.

The talk gives several examples of modelling elastodynamic response of cracks in homogeneous and composite materials with the focus on the effect of crack closure leading to contact interaction of the opposite faces. In particular, application of boundary integral equations to the problem of interface microcracks between two dissimilar elastic half-spaces is considered in detail. The distributions of the displacements and tractions at the interface and the crack surface are obtained and analysed. The stress intensity factors (opening and shear modes) are computed for different values of the wave frequency and different properties of the half-spaces, and the effect of the distance between cracks, the friction between the crack faces and the direction of the applied harmonic loading are investigated.

Organized by: Department of Mechanical Engineering and CAMLab, University of Chile
When: Wednesday, March 19th, 2014 at 12:00 PM
Where: Faculty of Physical and Mathematical Sciences, Av. Beauchef 850, Santiago. Room: Sala de Seminarios, 4to Piso Torre Central