Stationary and Moving Interface Cracks with Contact in Anisotropic Bimaterials

C. Guo ； C. T. Sun

《The Chinese Journal of Mechanics》 19卷1期 (2003/03) Pp. 31-39

並列摘要

The problem of a stationary or moving interface crack lying between two anisotropic elastic materials with Coulomb frictional crack surfaces in contact is investigated with an emphasis on the asymptotic structure of the crack tip fields. It is found that for generally anisotropic bimaterials, the near-tip stress field possesses two different oscillatory singularities which are either stronger or weaker than the inverse square root type singularity. For an anisotropic bimaterial with a plane of elastic symmetry parallel to the crack surfaces, the two singularities become non-oscillatory: an inverse square root type singularity and a stronger or weaker than inverse square root type singularity. The explicit expressions for the singular near-tip stress and displacement fields are derived. The asymptotic solutions of an interface crack in an anisotropic bimaterial with frictionless contact are derived as a special case, with explicit expressions for the singular near-tip stress and displacement fields when the anisotropic bimaterial has a plane of symmetry parallel to the crack surfaces. Solutions are applied to the numerical study of edge delamination of composite laminates subjected to uniform axial extension in the presence of frictionless contact of crack surfaces. It is found that for the [90/0](subscript S) laminate, crack surface contact must be considered even though the crack tip stays open after contact conditions are imposed. For angle ply laminates, surface contact may be neglected even though the crack tip is closed and the size of the contact zone is comparable to that of the crack.

並列關鍵字

Interface crack ； Singularity ； Stress intensity factor ； Laminate