Auxetic orthotropic materials: Numerical determination of a phenomenological spline-based stored density energy and its implementation for finite element analysis

CRESPO, José, DUNCAN, Oliver, ALDERSON, Andrew and MONTÁNS, Francisco J. (2020). Auxetic orthotropic materials: Numerical determination of a phenomenological spline-based stored density energy and its implementation for finite element analysis. Computer Methods in Applied Mechanics and Engineering, 371, p. 113300.

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Link to published version:: https://doi.org/10.1016/j.cma.2020.113300
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    Abstract

    Abstract Auxetic materials, which have negative Poisson’s ratio, show potential to be used in many interesting applications. Finite element analysis (FEA) is an important phase in implementing auxetic materials, but may become computationally expensive because simulation often needs microscale details and a fine mesh. It is also necessary to check that topological aspects of the microscale reflects not only micro but macromechanical behavior. This work presents a phenomenological approach to the problem using data-driven spline-based techniques to properly characterize orthotropic auxetic material requiring neither analytical constraints nor micromechanics, expanding on previous methods for isotropic materials. Hyperelastic energies of auxetic orthotropic material are determined from experimental data by solving the equilibrium differential functional equations directly, so no fitting or analytical estimation is necessary. This offers two advantages; (i) it allows the FEA study of orthotropic auxetic materials without requiring micromechanics considerations, reducing modeling and computational time costs by two to three orders of magnitude; (ii) it adapts the hyperelastic energies to the nature of the material with precision, which could be critical in scenarios where accuracy is essential (e.g. robotic surgery).

    Item Type: Article
    Additional Information: ** Article version: AM ** Embargo end date: 19-08-2021 ** From Elsevier via Jisc Publications Router ** Licence for AM version of this article starting on 19-08-2021: http://creativecommons.org/licenses/by-nc-nd/4.0/ **Journal IDs: issn 00457825 **History: issue date 01-11-2020; published_online 19-08-2020; accepted 19-07-2020
    Identification Number: https://doi.org/10.1016/j.cma.2020.113300
    Page Range: p. 113300
    SWORD Depositor: Colin Knott
    Depositing User: Colin Knott
    Date Deposited: 25 Aug 2020 14:22
    Last Modified: 26 Aug 2020 11:00
    URI: http://shura.shu.ac.uk/id/eprint/27028

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