TY - JOUR
T1 - Achieving pervasive fracture and fragmentation in three-dimensions
T2 - an unstructuring-based approach
AU - Spring, Daniel W.
AU - Paulino, Glaucio H.
N1 - Funding Information:
We acknowledge support from the Natural Sciences and Engineering Research Council of Canada and from the U.S. National Science Foundation (NSF) through Grant #1624232 (formerly #1437535). The information presented in this publication is the sole opinion of the authors and does not necessarily reflect the views of the sponsors or sponsoring agencies.
Funding Information:
Acknowledgements We acknowledge support from the Natural Sciences and Engineering Research Council of Canada and from the U.S. National Science Foundation (NSF) through Grant #1624232 (formerly #1437535). The information presented in this publication is the sole opinion of the authors and does not necessarily reflect the views of the sponsors or sponsoring agencies.
Publisher Copyright:
© 2018, Springer Science+Business Media B.V., part of Springer Nature.
PY - 2018/3/1
Y1 - 2018/3/1
N2 - There are few methods capable of capturing the full spectrum of pervasive fracture behavior in three-dimensions. Throughout pervasive fracture simulations, many cracks initiate, propagate, branch and coalesce simultaneously. Because of the cohesive element method framework, this behavior can be captured in a regularized manner. However, since the cohesive element method is only able to propagate cracks along element facets, a poorly designed discretization of the problem domain may introduce artifacts into the simulated results. To reduce the influence of the discretization, geometrically and constitutively unstructured means can be used. In this paper, we present and investigate the use of three-dimensional nodal perturbation to introduce geometric randomness into a finite element mesh. We also discuss the use of statistical methods for introducing randomness in heterogeneous constitutive relations. The geometrically unstructured method of nodal perturbation is then combined with a random heterogeneous constitutive relation in three numerical examples. The examples are chosen in order to represent some of the significant influencing factors on pervasive fracture and fragmentation; including surface features, loading conditions, and material gradation. Finally, some concluding remarks and potential extensions are discussed.
AB - There are few methods capable of capturing the full spectrum of pervasive fracture behavior in three-dimensions. Throughout pervasive fracture simulations, many cracks initiate, propagate, branch and coalesce simultaneously. Because of the cohesive element method framework, this behavior can be captured in a regularized manner. However, since the cohesive element method is only able to propagate cracks along element facets, a poorly designed discretization of the problem domain may introduce artifacts into the simulated results. To reduce the influence of the discretization, geometrically and constitutively unstructured means can be used. In this paper, we present and investigate the use of three-dimensional nodal perturbation to introduce geometric randomness into a finite element mesh. We also discuss the use of statistical methods for introducing randomness in heterogeneous constitutive relations. The geometrically unstructured method of nodal perturbation is then combined with a random heterogeneous constitutive relation in three numerical examples. The examples are chosen in order to represent some of the significant influencing factors on pervasive fracture and fragmentation; including surface features, loading conditions, and material gradation. Finally, some concluding remarks and potential extensions are discussed.
KW - Cohesive elements
KW - Extrinsic PPR model
KW - Fragmentation
KW - Nodal perturbation
KW - Pervasive fracture
KW - Weibull distribution
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U2 - 10.1007/s10704-018-0265-z
DO - 10.1007/s10704-018-0265-z
M3 - Article
AN - SCOPUS:85042222242
SN - 0376-9429
VL - 210
SP - 113
EP - 136
JO - International Journal of Fracture
JF - International Journal of Fracture
IS - 1-2
ER -