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A Proper Generalized Decomposition (PGD) approach to crack propagation in brittle materials: with application to random field material properties

Author
Garikapati, H.; Zlotnik, S.; Diez, P.; V. Verhoosel, .; van Brummelen, .
Type of activity
Journal article
Journal
Computational mechanics
Date of publication
2020-02
Volume
65
Number
2
First page
451
Last page
473
DOI
10.1007/s00466-019-01778-0
Project funding
Data assimilation for credible engineering simulations
Repository
http://hdl.handle.net/2117/178346 Open in new window
URL
https://link.springer.com/article/10.1007%2Fs00466-019-01778-0 Open in new window
Abstract
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-019-01778-0 Understanding the failure of brittle heterogeneous materials is essential in many applications. Heterogeneities in materialproperties are frequently modeled through random fields, which typically induces the need to solve finite element problemsfor a large number of realizations. In this context, we make use of reduced order modeling to solve these problems at anaffordable computational cost. This pap...
Citation
Garikapati, H. [et al.]. A Proper Generalized Decomposition (PGD) approach to crack propagation in brittle materials: with application to random field material properties. "Computational mechanics", Febrer 2020, vol. 65, núm. 2, p. 451-473.
Keywords
Brittle fracture, Crack propagation, Model order reduction, Monte Carlo method, Proper Generalized Decomposition, Random fields
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants