Boundary conditions in a multiscale homogenization procedure

Lesičar, Tomislav and Tonković, Zdenko and Sorić, Jurica (2014) Boundary conditions in a multiscale homogenization procedure. = Boundary conditions in a multiscale homogenization procedure. In: 12th International Conference on Fracture and Damage Mechanics, FDM 2013, 17-19.09.2013., Sardinia; Italy.


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This paper is concerned with a second-order multiscale computational homogenization scheme for heterogeneous materials at small strains. A special attention is directed to the macro-micro transition and the application of the generalized periodic boundary conditions on the representative volume element at the microlevel. For discretization at the macrolevel the C1 plane strain triangular finite element based on the strain gradient theory is derived, while the standard C0 quadrilateral finite element is used on the RVE. The implementation of a microfluctuation integral condition has been performed using several numerical integration techniques. Finally, a numerical example of a pure bending problem is given to illustrate the efficiency and accuracy of the proposed multiscale homogenization approach. © (2014) Trans Tech Publications.

Item Type: Conference or Workshop Item (Lecture)
Keywords (Croatian): Computational homogenization; Heterogeneous materials; Integral conditions; Multiscale; Periodic boundary conditions; Fracture; Strain; Superconducting materials; 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: Yes
Indexed in Current Contents: No
Citations JCR: 0 (30.11.2016.)
Date Deposited: 27 May 2015 10:40
Last Modified: 30 Nov 2016 13:56

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