A hysteretic multiscale formulation for validating computational models of heterogeneous structures

Triantafyllou, Savvas P. and Chatzi, Eleni N. (2016) A hysteretic multiscale formulation for validating computational models of heterogeneous structures. Journal of Strain Analysis for Engineering Design, 51 (1). pp. 46-52. ISSN 2041-3130

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A framework for the development of accurate yet computationally efficient numerical models is proposed in this work, within the context of computational model validation. The accelerated computation achieved herein relies on the implementation of a recently derived multiscale finite element formulation, able to alternate between scales of different complexity. In such a scheme, the micro-scale is modelled using a hysteretic finite elements formulation. In the micro-level, nonlinearity is captured via a set of additional hysteretic degrees of freedom compactly described by an appropriate hysteric law, which gravely simplifies the dynamic analysis task. The computational efficiency of the scheme is rooted in the interaction between the micro- and a macro-mesh level, defined through suitable interpolation fields that map the finer mesh displacement field to the coarser mesh displacement field. Furthermore, damage related phenomena that are manifested at the micro-level are accounted for, using a set of additional evolution equations corresponding to the stiffness degradation and strength deterioration of the underlying material. The developed modelling approach is utilized for the purpose of model validation; firstly, in the context of reliability analysis; and secondly, within an inverse problem formulation where the identification of constitutive parameters via availability of acceleration response data is sought.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/776335
Keywords: Heterogeneous structures ; multiscale finite elements ; hysteresis ; nonlinear dynamic analysis ; model validation ; inverse problem formulation
Schools/Departments: University of Nottingham, UK > Faculty of Engineering > Department of Civil Engineering
Identification Number: https://doi.org/10.1177/0309324715582113
Depositing User: Eprints, Support
Date Deposited: 04 Jul 2016 11:03
Last Modified: 04 May 2020 17:37
URI: https://eprints.nottingham.ac.uk/id/eprint/34611

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