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International Journal for Multiscale Computational Engineering
Impact-faktor: 1.016 5-jähriger Impact-Faktor: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2016018702
pages 515-534

THE METHOD OF FAILURE PATHS FOR REDUCED-ORDER COMPUTATIONAL HOMOGENIZATION

Paul Sparks
Department of Civil and Environmental Engineering, Vanderbilt University, Nashville, Tennessee 37235, USA
Caglar Oskay
Department of Civil and Environmental Engineering, Vanderbilt University, Nashville, Tennessee 37235, USA

ABSTRAKT

We present a new eigendeformation-based reduced order homogenization approach for simulating progressive degradation and failure in brittle composite materials. A new reduced model basis construction strategy is proposed, where the bases are based on numerically calculated "failure paths" within the material microstructure subjected to a pre-selected set of load configurations. The failure paths are allowed to overlap, leading to a slight deviation from orthonormality of the basis functions of the reduced order model. In order to alleviate the spurious post failure residual stresses, we propose a new hierarchical failure path update approach, where the influence functions are adaptively updated to incorporate compatible eigenstrains as microstructural failures are detected. The reduced order modeling approach is verified against particulate composite microstructures with ordered and random configurations. The proposed approach leads to significant improvements in accuracy, while maintaining a low model order.


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