Robust Algorithm for Brittle Fracture based on Energy Minimization

Date

2006-03-31

Author

Gürses, Ercan

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The paper outlines a variational formulation of brittle fracture in solids and considers its numerical implementation by adistinct ﬁnite element method. The starting point is a variational setting of fracture mechanics that recasts a monotonicquasistatic fracture process into a sequence of incremental minimization problems. The proposed implementation introducesdiscretized crack patterns with material-force-driven incremental crack-segment releases. These releases of crack segmentsconstitute a sequence of positive deﬁnite subproblems with successively decreasing overall stiffness, providing an extremelyrobust algorithmic setting in the postcritical range. The formulation is embedded into accompanying r-adaptive crack-patternreorientation procedures with material-force-based indicators, providing reorientations of elements at the crack-tip.

URI

https://hdl.handle.net/11511/78141
https://onlinelibrary.wiley.com/doi/epdf/10.1002/pamm.200610064

Conference Name

77th Annual Meeting of Gesellschaft für Angewandte Mathematik und Mechanik (GAMM) (27 - 31 Mart 2006)

Collections

Department of Aerospace Engineering, Conference / Seminar

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Citation Formats

E. Gürses, “Robust Algorithm for Brittle Fracture based on Energy Minimization,” Berlin, Germany, 2006, vol. 6, p. 167, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/78141.