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Towards a Multiscale Scheme for Nonlinear Dynamic Analysis of Masonry Structures with Damage

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Book cover Seismic Assessment, Behavior and Retrofit of Heritage Buildings and Monuments

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 37))

Abstract

In this work, a three dimensional multiscale formulation is presented for the analysis of masonry structures based on the multiscale finite element formulation. The method is developed within the framework of the Enhanced Multiscale Finite Element Method. Through this approach, two discretization schemes are considered, namely a fine mesh that accounts for the micro-structure and a coarse mesh that encapsulates the former. Through a numerically derived mapping, the fine scale information is propagated to the coarse mesh where the numerical solution of the governing equations is performed. Inelasticity is introduced at the fine mesh by considering a set of internal variables corresponding to the plastic deformation accumulating at the Gauss points of each fine-scale element. These additional quantities evolve according to properly defined smooth evolution equations. The proposed formalism results in a nonlinear dynamic analysis method where the micro-level state matrices need only be evaluated once at the beginning of the analysis procedure. The accuracy and computational efficiency of the proposed scheme is verified through an illustrative example.

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Acknowledgments

This work has been carried out under the support of the Swiss National Science Foundation for Research Grant #200021_146996: “Hysteretic Multi/Scale Modeling for the Reinforcing of Masonry Structures”.

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Authors and Affiliations

  1. Department of Civil Engineering, The University of Nottingham, University Park, Nottingham, NG7 2RD, UK

    Savvas P. Triantafyllou

  2. Institute of Structural Engineering, ETH, Stefano-Franscini-Platz 5, 8093, Zurich, Switzerland

    Eleni N. Chatzi

Authors
  1. Savvas P. Triantafyllou
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  2. Eleni N. Chatzi
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Corresponding author

Correspondence to Savvas P. Triantafyllou .

Editor information

Editors and Affiliations

  1. Laboratory of Earthquake Engineering, School of Civil Engineering, National Technical University of Athens, Athens, Greece

    Ioannis N. Psycharis

  2. Dept of Civil and Environmental Eng., University of Cyprus, Nicosia, Cyprus

    Stavroula J. Pantazopoulou

  3. Institute of Structural Analysis & Antiseismic Research, School of Civil Engineering, National Technical University of Athens, Athens, Greece

    Manolis Papadrakakis

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Triantafyllou, S.P., Chatzi, E.N. (2015). Towards a Multiscale Scheme for Nonlinear Dynamic Analysis of Masonry Structures with Damage. In: Psycharis, I., Pantazopoulou, S., Papadrakakis, M. (eds) Seismic Assessment, Behavior and Retrofit of Heritage Buildings and Monuments. Computational Methods in Applied Sciences, vol 37. Springer, Cham. https://doi.org/10.1007/978-3-319-16130-3_7

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  • DOI: https://doi.org/10.1007/978-3-319-16130-3_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16129-7

  • Online ISBN: 978-3-319-16130-3

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