繊維/マトリックス間の摩擦接触をともなう界面き裂の解析

抄録

An axisymmetric interface crack with frictional contact is theoretically analyzed. The eigen-equation determining the stress singular order, and the stress and displacement fields near the crack tip are deduced in details. Based on the results obtained by theoretical analysis, the condition under which the contact will occur is discussed. If the condition is not satisfied, the crack can be dealt as a crack with free surface. The results show that the stress singularity order is dependent on the material combination, the frictional coefficient, and also the direction of the relative displacement of the crack-face. When the crack has a contact region, the oscillatory singularity disappears, and the stress field near the crack tip is similar to that of a pure mode II crack, as it does in plane problems. However, to express the effect of material combinations on stress or displacement fields, three composite parameters are needed, while only two is needed in the plane problems.