Coupling of non‐conforming meshes in a component mode synthesis method

Abstract

SUMMARYA common mesh refinement-based coupling technique is embedded into a component mode synthesis method, Craig-Bampton. More specifically, a common mesh is generated between the non-conforming interfaces of the coupled structures, and the compatibility constraints are enforced on that mesh via L2-minimization. This new integrated method is suitable for structural dynamic analysis problems where the substructures may have non-conforming curvilinear and/or surface interface meshes. That is, coupled substructures may have different element types such as shell, solid, and/or beam elements. The proposed method is implemented into a commercial finite element software, B2000++, and its demonstration is carried out using an academic and industry oriented test problems.

Polyhedral elements with strain smoothing for coupling hexahedral meshes at arbitrary nonmatching interfaces

“…That is, conditions of nodal connectivity and element compatibility are not satisfied at the nonmatching interfaces. Adaptive mesh refinement [3][4][5][6], multiscale simulations [7][8][9], and multiphysics simulations [10][11][12] can also involve nonmatching interface problems. If such nonmatching interface problems are not resolved in an appropriate manner, the convergence and accuracy of solutions obtained by the finite element method (FEM) cannot be guaranteed.…”