Second-Order Computational Homogenization Scheme Preserving Microlevel C1 Continuity

Lesičar, Tomislav and Tonković, Zdenko and Sorić, Jurica (2015) Second-Order Computational Homogenization Scheme Preserving Microlevel C1 Continuity. = Second-Order Computational Homogenization Scheme Preserving Microlevel C1 Continuity. In: International Conference on Fracture and Damage Mechanics, 23.-25. 09. 2014., Azori, Portugal.

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Abstract

The paper deals with a new second-order computational homogenization procedure for modeling of heterogeneous materials at small strains, where C1 continuity is preserved at the microlevel. The multiscale model is based on the Aifantis theory of gradient elasticity. The C1 two dimensional triangular finite element used for the discretization of macro- and microlevel is described. Contrary to the C1 - C0 transition, here besides the displacements, the displacement gradients are included into the boundary conditions on the representative volume element (RVE). According to the second order continuum at microlevel, the relevant homogenization relations are derived. Finally, the performance of the algorithms derived is investigated. Dependency of homogenized stresses on mesh density and microstructural parameter l are examined in simple loading cases.

Item Type: Conference or Workshop Item (Lecture)
Keywords (Croatian): heterogeneous materials, C1 finite element, C1 continuity microlevel, second-order computational homogenization, gradient generalized periodic boundary conditions
Subjects: TECHNICAL SCIENCE > Mechanical Engineering
Divisions: 200 Department of Engineering Mechanics > 210 Chair of Mechanics and Strength of Materials
Indexed in Web of Science: No
Indexed in Current Contents: No
Date Deposited: 21 Mar 2016 11:50
Last Modified: 30 Nov 2016 14:04
URI: http://repozitorij.fsb.hr/id/eprint/5297

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