Isogeometric Phase-Field Methods for Modeling Fracture in Shell Structures
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- Institutt for marin teknikk 
The simulation of the fracture of engineering structures is a challenging topic that requires accurate and eﬃcient numerical models. This thesis focuses on the modeling of brittle and ductile fracture in thin shell structures employing the phase-ﬁeld approach. A rotation-free isogeometric Kirchhoﬀ-Love shell model is therefore adopted and combined with brittle and ductile phase-ﬁeld fracture for-mulations. For the modeling of complex structures, a penalty-based approach is employed for coupling the structural and phase-ﬁeld behaviors in correspondence of patch interfaces. All the penalty parameters involved in the model are con-trolled by a single dimensionless penalty coeﬃcient, independently of the type and setup of the problem. The eﬃciency of the solution algorithm is improved by adopting a predictor-corrector algorithm for adaptive local reﬁnement of the mesh based on Locally Reﬁned Non Rational B-Splines, an adaptive time-stepping scheme, and a strongly coupled staggered solution scheme for the solution of the nonlinear system of equations. The presented formulation is qualitatively and quantitatively evaluated through several numerical tests and validated against experimental benchmarks involving complex shell geometries, thus opening for the application of the model to real-world structures.
Has partsPaper 1: Herrema, Austin; Emily, Johnson; Proserpio, Davide; Wu, M.C.H.; Kiendl, Josef; Hsu, Ming-Chen. Penalty coupling of non-matching isogeometric Kirchhoff-Love shell patches with application to composite wind turbine blades. Computer Methods in Applied Mechanics and Engineering 2019 ;Volum 346. s. 810-840 © 2019 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Paper 2: Proserpio, Davide; Kiendl, Josef; Ambati, Marreddy; De Lorenzis, Laura; Johannessen, Kjetil Andre; Kvamsdal, Trond. Simulation of brittle fracture in shells using a phase-field approach and LR B-splines. 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry, 2017; 2017-10-11 - 2017-10-13
Paper 3: Proserpio, Davide; Ambati, Marreddy; De Lorenzis, Laura; Kiendl, Josef. A framework for efficient isogeometric computations of phase-field brittle fracture in multipatch shell structures. Computer Methods in Applied Mechanics and Engineering 2020 ;Volum 372. s. -
Paper 4: Proserpio, Davide; Ambati, Marreddy; De Lorenzis, Laura; Kiendl, Josef. Phase-field simulation of ductile fracture in shell structures This paper is awaiting publication and is therefore not included.