Abstract
A new analysis method, called Hybrid Finite Cover Method (Hybrid-FCM), is developed based on the modified variational principles with relaxed continuity requirements. The method is formulated for the characterization of the mechanical behavior of multi-phase materials, which possibly involve interface fracture. Due to the introduction of Lagrange multiplier to satisfy the continuity conditions for displacement vectors on the interface, the proposed Hybrid-FCM provide much more realistic solution than those of the conventional FCM with penalty method and of the image-based FEM. The performance of the proposed method is well demonstrated by the nonlinear analysis of interface fracture.
