Adaptive Numerical Simulation of a Phase-Field Fracture Model in Mixed Form Tested on an L-shaped Specimen with High Poisson Ratios

DOI10.1007/978-3-030-55874-1_118zbMath1475.74111arXiv2003.09459OpenAlexW3012763802MaRDI QIDQ3379544

Katrin Mang, Thomas Wick, Winnifried Wollner, Mirjam Walloth

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.09459

zbMATH Keywords

finite elementserror estimationadaptive refinementphase-field fracturemixed systemincompressible solids

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (2)

Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture ⋮ A modified combined active-set Newton method for solving phase-field fracture into the monolithic limit

Cites Work

• A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
• Validation simulations for the variational approach to fracture
• Revisiting brittle fracture as an energy minimization problem
• The deal.II library, version 8.5
• A phase-field model for fractures in nearly incompressible solids
• Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
• VI. The phenomena of rupture and flow in solids
• Mesh adaptivity for quasi‐static phase‐field fractures based on a residual‐type a posteriori error estimator

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