Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 312, Issue -, Pages 374-394Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.09.011
Keywords
Phase field; Fracture; Shell; Plate; Kirchhoff-Love; Isogeometric analysis
Funding
- European Research Council, ERC Starting Researcher Grant INTERFACES [279439]
- European Research Council through the Starting Grant Program [GA 307201]
- Xunta de Galicia
- European Research Council through the FP7 Ideas Starting Grant ISOBIO Isogeometric Methods for Biomechanics [259229]
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We present an approach for phase-field modeling of fracture in thin structures like plates and shells, where the kinematics is defined by midsurface variables. Accordingly, the phase field is defined as a two-dimensional field on the midsurface of the structure. In this work, we consider brittle fracture and a Kirchhoff-Love shell model for structural analysis. We show that, for a correct description of fracture, the variation of strains through the shell thickness has to be considered and the split into tensile and compressive elastic energy components, needed to prevent cracking in compression, has to be carried out at various points through the thickness, which prohibits the typical separation of the elastic energy into membrane and bending terms. For numerical analysis, we employ isogeometric discretizations and a rotation-free Kirchhoff-Love shell formulation. In several numerical examples we show the applicability of the approach and detailed comparisons with 3D solid simulations confirm its accuracy and efficiency. (C) 2016 Elsevier B.V. All rights reserved.
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