External Coupling of FE Codes for Structural Dynamics

Abstract eng:
Two external coupling software, whose purpose is enabling to conduct multi-time step explicit/implicit co-computations for structural dynamics problems, are set up. They are based on the coupling algorithms proposed by Gravouil and Combescure (GC method) and Prakash and Hjelmstad (PH method). The salient features of the multi-time step partitioning methods are presented: they involve non-overlapping partitions, follow a dual Schur approach by ensuring the velocity continuity at the interface with Lagrange multipliers. The main difference between the two methods lies in the time scale at which the interface problem is solved: micro time scale for the GC-algorithm and macro time scale for the PH-algorithm. During the multi-time step co-computations involving two Finite Element codes (explicit and implicit FE codes), the tasks carried out by the coupling software PH-CPL, based on a variant of the PH algorithm, are illustrated and compared to the coupling software GC-CPL based on the GC-algorithm. The advantage of the new coupling software PH-CPL is highlighted in terms of parallel capabilities. In addition, the coupling software PH-CPL alleviates the dissipative drawback of the GC method at the interface between the subdomains. Academic cases are investigated to check the accuracy order for the GC and PH algorithms. Finally, explicit/implicit multi-time step co-computations with GC-CPL and PH-CPL software are conducted under the assumption of linear elastic material for a reinforced concrete frame structure under blast loading striking its front face.

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