年間 6 号発行
ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352
Indexed in
Iterative Algorithms for Computing the Averaged Response of Nonlinear Composites under Stress-Controlled Loadings
要約
Formulations of linear and nonlinear multiscale analyses for media with lattice periodic microstructures based on the homogenization theory are proposed. For continuum media, the conventional homogenization theory leads to boundary value problems of continuum for both micro- and macroscales. However, it is rational to discretize lattice microstructures, such as cellular solids, by frame elements since they consist of slender members. The main difficulty in utilizing structural elements, such as frame elements, for microscale problems is due to the inconsistency between the kinematics assumed for the frame elements and the periodic displacement field for the microscale problem. In order to overcome this difficulty, we propose a formulation that does not employ the periodic microscale displacement, but the total displacement, including the displacement due to uniform deformation as well as periodic deformation, as the independent variable of the micro scale problem. Some numerical examples of cellular solids are provided to show both the feasibility and the computational efficiency of the proposed method.
-
Shiga Akira, Umezawa Osamu, Effects of Thermo-Mechanical Treatment on the Tensile and Compressive Properties of a Glass-Balloon-Dispersed Aluminum Alloy Composite, MATERIALS TRANSACTIONS, 48, 12, 2007. Crossref
-
Terada K., Kato J., Hirayama N., Inugai T., Yamamoto K., A method of two-scale analysis with micro-macro decoupling scheme: application to hyperelastic composite materials, Computational Mechanics, 52, 5, 2013. Crossref
-
Terada Kenjiro, Hirayama Norio, Yamamoto Koji, Kato Junji, Kyoya Takashi, Matsubara Seishiro, Arakawa Yusuke, Ueno Yuta, Miyanaga Naohiro, Applicability of micro–macro decoupling scheme to two-scale analysis of fiber-reinforced plastics, Advanced Composite Materials, 23, 5-6, 2014. Crossref