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.
Bibliographical noteFunding Information:
The authors are very pleased to acknowledge support in part by Battelle/US Army Research Office (ARO) Research Triangle Park, North Carolina, under grant number DAAH04-96-C-0086. The support of the ARL/MSRC and the IMT activities and additional support in the form of computer grants from Minnesota Supercomputer Institute (MSI) are gratefully acknowledged. The support in part, by the Army High Performance Computing Research Center (AHPCRC) under the auspices of the Department of the Army, Army Research Laboratory (ARL) cooperative agreement number DAAH04-95-2-0003/contract number DAAH04-95-C-0008 is also acknowledged. The content does not necessarily reflect the position or the policy of the government, and no official endorsement should be inferred. Additional thanks are also due to D. Sha, X. Zhou and Dr A. Mark and Dr R. Namburu. Thanks are also due to B.U. Oztekin, Prof. G. Karypis and Prof. V. Kumar of the Computer Science Department at the University of Minnesota for providing the mesh partitioning viewing code in a short time.