Adaptive Numerical Simulation of a Phase-Field Fracture Model in Mixed Form Tested on an L-shaped Specimen with High Poisson Ratios
| Autor: | Katrin Mang, Mirjam Walloth, Winnifried Wollner, Thomas Wick |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Lecture Notes in Computational Science and Engineering ISBN: 9783030558734 ENUMATH |
| DOI: | 10.1007/978-3-030-55874-1_118 |
| Popis: | This work presents a new adaptive approach for the numerical simulation of a phase-field model for fractures in nearly incompressible solids. In order to cope with locking effects, we use a recently proposed mixed form where we have a hydro-static pressure as additional unknown besides the displacement field and the phase-field variable. To fulfill the fracture irreversibility constraint, we consider a formulation as a variational inequality in the phase-field variable. For adaptive mesh refinement, we use a recently developed residual-type a posteriori error estimator for the phase-field variational inequality which is efficient and reliable, and robust with respect to the phase-field regularization parameter. The proposed model and the adaptive error-based refinement strategy are demonstrated by means of numerical tests derived from the L-shaped panel test, originally developed for concrete. Here, the Poisson’s ratio is changed from the standard setting towards the incompressible limit ν → 0.5. |
| Databáze: | OpenAIRE |
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