Some 2D interface crack and rigid inclusion problems in microperiodically layered elastic composites

This paper presents a comparative analysis of stress and displacement plane fields due to the presence of an interface Griffith crack and a ribbon absolutely rigid inclusion in a microperiodic laminated medium consisting of alternating layers of two homogeneous, isotropic and linear-elastic materials. The study is based on the approximate treatment by using the homogenized model with microlocal paramaters (cf Woźniak, 1987). Useful solutions with the standard (non-oscillatory) inverse square-root singularity are obtained and the stress intensity factors are defined as local failure parameters. Some illustrative examples are also given.