Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.82 CiteScore™: 2

ISSN Print: 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

ABSTRACT

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.


Articles with similar content:

A GRADIENT-ENHANCED SPARSE GRID ALGORITHM FOR UNCERTAINTY QUANTIFICATION
International Journal for Uncertainty Quantification, Vol.5, 2015, issue 5
Brendan Harding, Jouke H. S. de Baar
COMPUTATIONAL FRAMEWORK FOR SHORT-STEEL FIBER-REINFORCED ULTRA-HIGH PERFORMANCE CONCRETE (COR-TUF)
International Journal for Multiscale Computational Engineering, Vol.17, 2019, issue 5
Shanqiao Huang, Zifeng Yuan, Jacob Fish
MOLECULAR DYNAMICS/XFEM COUPLING BY A THREE-DIMENSIONAL EXTENDED BRIDGING DOMAIN WITH APPLICATIONS TO DYNAMIC BRITTLE FRACTURE
International Journal for Multiscale Computational Engineering, Vol.11, 2013, issue 6
M. Silani, S. P. A. Bordas, Timon Rabczuk, Hossein Talebi, Pierre Kerfriden
IDENTIFICATION OF OPTIMAL REDUCED ORDER HOMOGENIZATION MODELS FOR FAILURE OF HETEROGENEOUS MATERIALS
International Journal for Multiscale Computational Engineering, Vol.11, 2013, issue 3
Caglar Oskay, Paul Sparks
Symmetric Mesomechanical Model for Failure Analysis of Heterogeneous Materials
International Journal for Multiscale Computational Engineering, Vol.8, 2010, issue 5
Caglar Oskay, Robert Crouch