Coupled FEM/Mesh-free Shear-deformable Shells for Nonlinear Analysis of Shell Structures

摘要

A coupled FEM/Mesh-free shell formulation is developed based on the Mindlin-Reissner shell theory. An interface constraint is enforced on the coupling between the finite element zone and the mesh-free zone, resulting in conforming solutions across the interface and the Kronecker delta property for the shape functions at the boundary nodes. Two integration constraints ensure the satisfaction of the patch test. A global parametric representation and a local projection representation of the shell surface are proposed. With the local projection method, an area averaging is necessary to obtain conforming shape functions. The mesh-free shells utilize the degenerated, first-order shear-deformable shell theory and a co-rotational updated Lagrangian formulation. Selective reduced local boundary integration scheme is used to suppress the shear locking problem. Two test problems are solved to demonstrate the performance of the coupled FEM/Mesh-free shells.