Analysis of anisotropic in-plane corners

Singular behavior of the mechanical in-plane fields occurs at a laminate reinforcement patch corner due to the geometry and different material properties in the reinforced and non-reinforced domain, respectively. Adopting Lekhnitskii’s approach of the complex potential method, an asymptotic analysis of the mechanical fields is performed near laminate reinforcement patch corners. The mechanical in-plane fields at the two-dimensionally modeled interface corner can be determined in closed-form manner. Various configurations of interface corners are examined and their effect on the singular characteristics of the cross-sectional force field is studied. It is found that for a characterization of the singular behaviour of the in-plane forces each singular in-plane force term has to be considered and that the corresponding displacement modes are useful for understanding this behaviour.