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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.

Journal Article Type Article
Publication Date Sep 1, 2014
Journal Computational Mechanics
Print ISSN 0178-7675
Electronic ISSN 0178-7675
Publisher Humana Press
Peer Reviewed Peer Reviewed
Volume 54
Issue 3
APA6 Citation Triantafyllou, S. P., & Chatzi, E. (2014). A hysteretic multiscale formulation for nonlinear dynamic analysis of composite materials. Computational Mechanics, 54(3), doi:10.1007/s00466-014-1032-2
DOI https://doi.org/10.1007/s00466-014-1032-2
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.

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



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