A quasi-static algorithm that includes effects of characteristic time scales for simulating failures in brittle materials
Type
ArticleAuthors
Liu, JinxingEl Sayed, Tamer S.
KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionPhysical Science and Engineering (PSE) Division
Date
2013-04-24Online Publication Date
2013-04-24Print Publication Date
2014-01Permanent link to this record
http://hdl.handle.net/10754/562728
Metadata
Show full item recordAbstract
When the brittle heterogeneous material is simulated via lattice models, the quasi-static failure depends on the relative magnitudes of Telem, the characteristic releasing time of the internal forces of the broken elements and Tlattice, the characteristic relaxation time of the lattice, both of which are infinitesimal compared with Tload, the characteristic loading period. The load-unload (L-U) method is used for one extreme, Telem << Tlattice, whereas the force-release (F-R) method is used for the other, Telem T lattice. For cases between the above two extremes, we develop a new algorithm by combining the L-U and the F-R trial displacement fields to construct the new trial field. As a result, our algorithm includes both L-U and F-R failure characteristics, which allows us to observe the influence of the ratio of Telem to Tlattice by adjusting their contributions in the trial displacement field. Therefore, the material dependence of the snap-back instabilities is implemented by introducing one snap-back parameter γ. Although in principle catastrophic failures can hardly be predicted accurately without knowing all microstructural information, effects of γ can be captured by numerical simulations conducted on samples with exactly the same microstructure but different γs. Such a same-specimen-based study shows how the lattice behaves along with the changing ratio of the L-U and F-R components. © 2013 The Author(s).Citation
Liu, J., & Sayed, T. E. (2013). A quasi-static algorithm that includes effects of characteristic time scales for simulating failures in brittle materials. International Journal of Damage Mechanics, 23(1), 83–103. doi:10.1177/1056789513485966Sponsors
This work was funded by the KAUST baseline fund.Publisher
SAGE Publicationsae974a485f413a2113503eed53cd6c53
10.1177/1056789513485966