Model order reduction of linear peridynamic systems using static condensation

Galadima, Yakubu Kasimu and Oterkus, Erkan and Oterkus, Selda (2020) Model order reduction of linear peridynamic systems using static condensation. Mathematics and Mechanics of Solids. ISSN 1081-2865

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    Abstract

    Static condensation is widely used as a model order reduction technique to reduce the computational effort and complexity of classical continuum-based computational models, such as finite-element models. Peridynamic theory is a nonlocal theory developed primarily to overcome the shortcoming of classical continuum-based models in handling discontinuous system responses. In this study, a model order reduction algorithm is developed based on the static condensation technique to reduce the order of peridynamic models. Numerical examples are considered to demonstrate the robustness of the proposed reduction algorithm in reproducing the static and dynamic response and the eigenresponse of the full peridynamic models.

    Creators(s): Galadima, Yakubu Kasimu, Oterkus, Erkan ORCID logoORCID: https://orcid.org/0000-0002-4614-7214 and Oterkus, Selda ORCID logoORCID: https://orcid.org/0000-0003-0474-0279;
    Item type:Article
    ID code:72818
    Keywords:peridynamic theory, classical continuum theory, finite element models, static condensation, Hydraulic engineering. Ocean engineering, Mechanics of Materials, Materials Science(all), Mathematics(all)
    Subjects:Technology > Hydraulic engineering. Ocean engineering
    Department:Faculty of Engineering > Naval Architecture, Ocean & Marine Engineering
    Strategic Research Themes > Society and Policy
    Strategic Research Themes > Ocean, Air and Space
    Strategic Research Themes > Measurement Science and Enabling Technologies
    Strategic Research Themes > Innovation Entrepreneurship
    Strategic Research Themes > Health and Wellbeing
    Strategic Research Themes > Energy
    Strategic Research Themes > Advanced Manufacturing and Materials
    Depositing user: Pure Administrator
    Date deposited:18 Jun 2020 13:26
    Last modified:21 Jan 2021 12:01
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/72818
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