Developments encompassing stress based finite element formulations for materially nonlinear static/dynamic problems

Hirak Chanda, Kumar K. Tamma

Research output: Contribution to journalConference articlepeer-review


Alternative finite element representations employing stress based element formulations are described for the solution of static/dynamic nonlinear stress analysis problems. In particular, this work investigates the proposed formulations as applied to both static and dynamic situations involving material nonlinearity. The formulations eliminate the need to employ numerical integration in evaluating the stiffness matrix and the residual force vector. Some noteworthy aspects via the present formulation include independence of element integral computations from nonlinearities, introduction of boundary conditions in a direct and natural manner and the applicability to general situations. Numerical test cases are described to validate the present formulations for finite element computations. The overall results show good accuracy and improvement in efficiency for the computations.

Original languageEnglish (US)
Pages (from-to)2797-2806
Number of pages10
JournalCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
StatePublished - 1994
EventProceedings of the 35th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Part 1 (of 5) - Hilton Head, SC, USA
Duration: Apr 18 1994Apr 20 1994

Bibliographical note

Funding Information:
Acknowledgements-Thirse searcihs supporteidn partb y NASA-Langley ResearchC enter, Hampton, Virginia, NASA-JohnsonS paceC entera nd LockheedE ngineering andS erviceCso mpanyH, oustonT, exasa, ndt heU .S.Army High PerformanceC omputingR esearchC enter( AHPCRC) on a contract from the Army ResearchO ffice (ARO). Speciala cknowledgemenist also due to grants from the Minnesota SupercomputeIrn stitute (MU), Minneapolis, Minnesota.T hanks are also due to R. R. Namburu for specialc ommentsa nd preliminaryr elatedr esearche fforts.


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