Research Output

A novel efficient mixed formulation for strain-gradient models.

  Various finite elements based on mixed formulations have been proposed for the solution of boundary value problems involving strain-gradient models. The relevant literature, however, does not provide details on some important theoretical aspects of these elements. In this work we first present the existing elements within a novel, single mathematical framework, identifying some theoretical issues common to all of them that affect their robustness and numerical efficiency. We then proceed to develop a new family of mixed elements that addresses these issues, while being simpler and computationally cheaper. The behaviour of the new elements is further demonstrated through a numerical example.

  • Type:

    Article

  • Date:

    06 November 2018

  • Publication Status:

    Published

  • DOI:

    10.1002/nme.5985

  • ISSN:

    0029-5981

  • Library of Congress:

    TA Engineering (General). Civil engineering (General)

  • Dewey Decimal Classification:

    620 Engineering and allied operations

  • Funders:

    European Commission; Edinburgh Napier Funded; The University of Edinburgh

Citation

Papanicolopulos, S., Gulib, F., & Marinelli, A. (2019). A novel efficient mixed formulation for strain-gradient models. International Journal for Numerical Methods in Engineering, 117(8), 926-937. doi:10.1002/nme.5985

Authors

Keywords

Strain-gradient models, Finite element method, mixed formulation, penalty formulation,

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    A novel efficient mixed formulation for strain-gradient models

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    This is the peer reviewed version of the following article: Papanicolopulos, S., Gulib, F., & Marinelli, A. (in press). A novel efficient mixed formulation for strain-gradient models. International Journal for Numerical Methods in Engineering,, which has been published in final form at [Link to final article using the DOI-tbc]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions."

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