An Adaptive Discontinuous Galerkin Model for Coupled Viscoplastic Crack Growth and Chemical Transport

Carranza, F. L.; Haber, R. B.

doi:10.1007/978-3-642-59721-3_22

F. L. Carranza⁸ &
R. B. Haber⁹

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 11))

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Abstract

This paper presents an adaptive finite element model for oxidation-driven fracture that uses space-time elements to track continuous crack-tip motion. The model incorporates viscoplastic material behavior, stress-enhanced diffusive transport of reactive chemical species and a cohesive interface fracture criterion. We discuss the weak formulation of the coupled system, including stabilized discontinuous Galerkin formulations for the chemical diffusion and the material evolution equations.

Supported in part by NASA Grant No. NGT-70374.

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References

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Authors and Affiliations

Hibbit, Karlsson and Sorenson, Inc., 1080 Main Street, Pawtucket, RI, 02860, USA
F. L. Carranza
Department of Theoretical & Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA
R. B. Haber

Authors

F. L. Carranza
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R. B. Haber
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Editors and Affiliations

School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN, 55455, USA
Bernardo Cockburn
Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA
George E. Karniadakis & Chi-Wang Shu &

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Carranza, F.L., Haber, R.B. (2000). An Adaptive Discontinuous Galerkin Model for Coupled Viscoplastic Crack Growth and Chemical Transport. In: Cockburn, B., Karniadakis, G.E., Shu, CW. (eds) Discontinuous Galerkin Methods. Lecture Notes in Computational Science and Engineering, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59721-3_22

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DOI: https://doi.org/10.1007/978-3-642-59721-3_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64098-8
Online ISBN: 978-3-642-59721-3
eBook Packages: Springer Book Archive

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