Measure of nonlocal response in multiscale gradient modeling

Lesičar, Tomislav and Tonković, Zdenko and Sorić, Jurica (2016) Measure of nonlocal response in multiscale gradient modeling. = Measure of nonlocal response in multiscale gradient modeling. In: 15th International Conference on Fracture and Damage Mechanics, FDM 2016, 14.-16.09.2016., Alicante; Spain.

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Realistic description of heterogeneous material behavior demands more accurate modeling at multiple scales. Multiscale scheme employing second-order homogenization requires C1 continuity at the macrolevel, while classical continuum is usually kept at the microlevel (C1-C0 homogenization). However, due to C1-C0 transition, consistency of macroscale variables is violated. This research proposes a new second-order homogenization scheme employing C1 continuity at both scales. Discretization is performed by the C1 finite element and Aifantis gradient elasticity theory. A new gradient boundary conditions are derived. The relation between the Aifantis length scale and the RVE size has been found. The new procedure is tested on a benchmark example. After successful development of the C1-C1 multiscale scheme, the next step is an extension to consistent scaling of the microscale strain localization towards a macroscopic fracture.

Item Type: Conference or Workshop Item (Lecture)
Keywords (Croatian): heterogeneous materials, C1 finite element, C1 continuity microlevel, second-order computational homogenization
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: 30 Nov 2016 14:18
Last Modified: 01 Mar 2018 13:32

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