Computationally efficient High-Fidelity Generalized Method of Cells micromechanics via order-reduction techniques. (15th November 2016)

• Record Type: Journal Article
• Authors: Ricks, Trenton M.; Lacy, Thomas E.; Pineda, Evan J.; Bednarcyk, Brett A.; Arnold, Steven M.
• Is Part Of: Composite structures. Volume 156(2016)
• Page Start: 2
• Page End: 9
• Publication Date: 2016-11-15
• Subjects: Order-reduction -- Micromechanics -- Method of cells -- Multiscale -- Composites; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2016.05.093
• Languages: English
• ISSNs: 0263-8223

Abstract

Abstract: The High-Fidelity Generalized Method of Cells (HFGMC) is a powerful technique for simulating composite materials. The HFGMC uses a higher-order approximation for the subcell displacement field that allows for accurate determination of the subcell stress/strain fields. In order to reduce computational costs associated with the solution of the ensuing system of simultaneous equations, the HFGMC global system of equations for doubly-periodic RUCs was reduced in size through the use of Proper Orthogonal Decomposition. Accurate order-reduced HFGMC models were then implemented within a special-purpose finite element user material subroutine and used to perform multiscale composite analyses. A number of cases were presented that demonstrate the computational feasibility of using order-reduction techniques to solve solid mechanics problems with complex microstructures. By simulating composite materials in a more computationally efficient manner, a pathway forward is presented for performing high-fidelity multiscale analyses of composite structures.