Skip to main content

Research Repository

Advanced Search

A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials

Triantafyllou, Savvas P.; Chatzi, E.N.

Authors

Savvas P. Triantafyllou

E.N. Chatzi



Abstract

A new multiscale finite element formulation is presented for nonlinear dynamic analysis of heterogeneous structures. The proposed multiscale approach utilizes the hysteretic finite element method to model the microstructure. Using the proposed computational scheme, the micro-basis functions, that are used to map the micro-displacement components to the coarse mesh, are only evaluated once and remain constant throughout the analysis procedure. This is accomplished by treating inelasticity at the micro-elemental level through properly defined hysteretic evolution equations. Two types of imposed boundary conditions are considered for the derivation of the multiscale basis functions, namely the linear and periodic boundary conditions. The validity of the proposed formulation as well as its computational efficiency are verified through illustrative numerical experiments.

Citation

Triantafyllou, S. P., & Chatzi, E. (2014). A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials. Computational Mechanics, 54(3), https://doi.org/10.1007/s00466-014-1032-2

Journal Article Type Article
Acceptance Date Apr 7, 2014
Online Publication Date May 1, 2014
Publication Date Sep 1, 2014
Deposit Date Jul 4, 2016
Publicly Available Date Jul 4, 2016
Journal Computational Mechanics
Print ISSN 0178-7675
Electronic ISSN 0178-7675
Publisher Springer Verlag
Peer Reviewed Peer Reviewed
Volume 54
Issue 3
DOI https://doi.org/10.1007/s00466-014-1032-2
Public URL http://eprints.nottingham.ac.uk/id/eprint/34602
Publisher URL http://link.springer.com/article/10.1007%2Fs00466-014-1032-2
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
Additional Information The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-014-1032-2.

Files

466_2014_1032_OnlinePDF_ST_corrected.pdf (2.2 Mb)
PDF

Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf



You might also like



Downloadable Citations