A second-order two-scale homogenization procedure using C1 macrolevel discretization

Lesičar, Tomislav and Tonković, Zdenko and Sorić, Jurica (2014) A second-order two-scale homogenization procedure using C1 macrolevel discretization. = A second-order two-scale homogenization procedure using C1 macrolevel discretization. Computational Mechanics, 54 (2). pp. 425-441. ISSN 0178-7675. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q1 (2013). Točan broj autora: 3.

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Official URL: http://link.springer.com/article/10.1007/s00466-01...


The present study deals with a second-order two-scale computational homogenization procedure for modeling deformation responses of heterogeneous materials at small strains. The macro to micro transition and the application of generalized periodic boundary conditions on the representative volume element (RVE) at the microlevel are investigated. The structure at macroscale level is discretized by the C 1 two dimensional triangular finite elements, while the C 0 quadrilateral finite element is used for the discretization of the RVE. The finite element formulations and the new proposed multiscale scheme have been implemented into the finite element software ABAQUS using user subroutines derived. Due to the C 1 - C 0 continuity transition, an additional integral condition on microlevel fluctuation field has to be imposed, as expected. The integration has been performed using various numerical integration techniques and the results obtained are compared in a few examples. It is concluded that only trapezoidal rule gives a physically based deformed shape of the RVE. Finally, the efficiency and accuracy of the proposed multiscale homogenization approach are demonstrated by the modeling of a shear layer problem, usually used as a benchmark in multiscale analyses. © 2014 Springer-Verlag Berlin Heidelberg.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian): ABAQUS; Boundary conditions; Subroutines; Computational homogenization; Integral conditions; Multi scale analysis; Numerical integration techniques; Periodic boundary conditions; Quadrilateral finite element; Representative volume element (RVE); Second orders; Finite element method
Subjects: TECHNICAL SCIENCE > Mechanical Engineering
Divisions: 200 Department of Engineering Mechanics > 210 Chair of Mechanics and Strength of Materials
Indexed in Web of Science: Yes
Indexed in Current Contents: Yes
Quartiles: Q1 (2013)
Date Deposited: 28 May 2015 11:59
Last Modified: 08 Apr 2016 12:06
URI: http://repozitorij.fsb.hr/id/eprint/4245

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