Solution of the Nonlinear High-Fidelity Generalized Method of Cells Micromechanics Relations via Order-Reduction Techniques
Joint Authors
Ricks, Trenton M.
Lacy, Thomas E.
Bednarcyk, Brett A.
Robens-Radermacher, Annika
Pineda, Evan J.
Arnold, Steven M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The High-Fidelity Generalized Method of Cells (HFGMC) is one technique, distinct from traditional finite-element approaches, for accurately simulating nonlinear composite material behavior.
In this work, the HFGMC global system of equations for doubly periodic repeating unit cells with nonlinear constituents has been reduced in size through the novel application of a Petrov-Galerkin Proper Orthogonal Decomposition order-reduction scheme in order to improve its computational efficiency.
Order-reduced models of an E-glass/Nylon 12 composite led to a 4.8–6.3x speedup in the equation assembly/solution runtime while maintaining model accuracy.
This corresponded to a 21–38% reduction in total runtime.
The significant difference in assembly/solution and total runtimes was attributed to the evaluation of integration point inelastic field quantities; this step was identical between the unreduced and order-reduced models.
Nonetheless, order-reduced techniques offer the potential to significantly improve the computational efficiency of multiscale calculations.
American Psychological Association (APA)
Ricks, Trenton M.& Lacy, Thomas E.& Bednarcyk, Brett A.& Robens-Radermacher, Annika& Pineda, Evan J.& Arnold, Steven M.. 2018. Solution of the Nonlinear High-Fidelity Generalized Method of Cells Micromechanics Relations via Order-Reduction Techniques. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1206634
Modern Language Association (MLA)
Ricks, Trenton M.…[et al.]. Solution of the Nonlinear High-Fidelity Generalized Method of Cells Micromechanics Relations via Order-Reduction Techniques. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1206634
American Medical Association (AMA)
Ricks, Trenton M.& Lacy, Thomas E.& Bednarcyk, Brett A.& Robens-Radermacher, Annika& Pineda, Evan J.& Arnold, Steven M.. Solution of the Nonlinear High-Fidelity Generalized Method of Cells Micromechanics Relations via Order-Reduction Techniques. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1206634
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206634