A unified family of generalized integration operators [GInO] for non-linear structural dynamics: implementation aspects

Abstract The present paper proposes recent developments in theoretical and implementation aspects including parallel computations via a single analysis code of a unified family of generalized integration operators [GInO] in time with particular emphasis on non-linear structural dynamics. The focus of this research is on the implementation aspects including the development of coarse-grained parallel computational models for such generalized time integration operators that be can readily ported to a wide range of parallel architectures via a message-passing paradigm (using MPI) and domain decomposition techniques. The implementation aspects are first described followed by an evaluation for a range of problems which exhibit large deformation, elastic, elastic–plastic dynamic behavior. For geometric non-linearity a total Lagrangian formulation and for material non-linearity elasto-plastic formulations are employed. Serial and parallel performance issues on the SGI Origin 2000 system are discussed and analyzed for illustration for selected schemes. For illustration, particular forms of [GInO] are investigated and a complete development via a single analysis code is currently underway. Nevertheless, this is the first time that such a capability is plausible and the developments further enhance computational structural dynamics areas.

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