Second-Order Computational Homogenization Approach Using Higher-Order Gradients at Microlevel

Lesičar, Tomislav and Tonković, Zdenko and Sorić, Jurica (2016) Second-Order Computational Homogenization Approach Using Higher-Order Gradients at Microlevel. = Second-Order Computational Homogenization Approach Using Higher-Order Gradients at Microlevel. In: 14th International Conference on Fracture and Damage Mechanics, FDM 2015, 23.-23.09.2015., Budva; Montenegro.

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Official URL: http://www.scientific.net/KEM.665.181

Abstract

Realistic description of heterogeneous material behavior demands more accurate modeling at macroscopic and microscopic scales. To observe strain localization phenomena and material softening occurring at the microstructural level, an analysis on the microlevel is unavoidable. Multiscale techniques employing several homogenization schemes can be found in literature. Widely used second-order homogenization requires C1 continuity at the macrolevel, while standard C0 continuity has usually been hold at microlevel. However, due to the C1-C0 transition macroscale variables cannot be defined fully consistently. The present contribution is concerned with a multiscale second-order computational homogenization employing C1 continuity at both scales under assumptions of small strains and linear elastic material behavior. All algorithms derived are implemented into the FE software ABAQUS. The numerical efficiency and accuracy of the proposed computational strategy is demonstrated by modeling three point bending test of the notched specimen.

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 11:48
Last Modified: 30 Nov 2016 14:11
URI: http://repozitorij.fsb.hr/id/eprint/5296

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