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Original scientific paper

https://doi.org/10.21857/m3v76tzpwy

Multiscale numerical modeling of deformation responses of heterogeneous materials

Jurica Sorić ; Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia
Zdenko Tonković ; Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia
Tomislav Lesičar orcid id orcid.org/0000-0003-3837-3059 ; Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Zagreb, Croatia


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Abstract

A multiscale computational algorithm employing the second-order computational homogenization under assumption of large strain is presented. A macro-micro transition procedure has been derived, where the discretization at the macrolevel has been performed by the newly developed C1 continuity displacement based finite elements. The representative volume element at the microlevel is discretized by using standard C0 continuity finite elements. The performed verifications of the proposed C1 finite element formulation show an advantage in comparison to available finite elements based on mixed formulations. In order to improve numerical efficiency of the computational procedures, the new algorithms are embedded into the finite element program Abaqus. The performance of the presented multiscale homogenization approach is demonstrated in numerical examples, where the elastoplastic deformation responses are displayed.

Keywords

Large strains; second-order homogenization; multiscale computational approach; C1 continuity finite element; heterogeneous materials

Hrčak ID:

216398

URI

https://hrcak.srce.hr/216398

Publication date:

28.9.2017.

Article data in other languages: croatian

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