A phase-field model for fractures in nearly incompressible solids

DOI10.1007/s00466-019-01752-wzbMath1477.65233arXiv1901.05378OpenAlexW3101127800WikidataQ113327059 ScholiaQ113327059MaRDI QIDQ2665018

Katrin Mang, Winnifried Wollner, Thomas Wick

Publication date: 18 November 2021

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05378

zbMATH Keywords

fracturefinite elementsphase-fieldmixed systemincompressible solids

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Brittle fracture (74R10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (14)

Mixed displacement-pressure-phase field framework for finite strain fracture of nearly incompressible hyperelastic materials ⋮ Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture ⋮ Phase-field modeling of crack propagation in heterogeneous materials with multiple crack order parameters ⋮ A comparative review of peridynamics and phase-field models for engineering fracture mechanics ⋮ Bayesian inversion for unified ductile phase-field fracture ⋮ Locking treatment of penalty-based gradient-enhanced damage formulation for failure of compressible and nearly incompressible hyperelastic materials ⋮ Truncated nonsmooth Newton multigrid for phase-field brittle-fracture problems, with analysis ⋮ Stabilized formulation for phase‐field fracture in nearly incompressible hyperelasticity ⋮ An efficient and robust monolithic approach to phase-field quasi-static brittle fracture using a modified Newton method ⋮ Matrix-free multigrid solvers for phase-field fracture problems ⋮ Interior-point methods for the phase-field approach to brittle and ductile fracture ⋮ A phase-field multirate scheme with stabilized iterative coupling for pressure driven fracture propagation in porous media ⋮ Adaptive Numerical Simulation of a Phase-Field Fracture Model in Mixed Form Tested on an L-shaped Specimen with High Poisson Ratios ⋮ Space-time formulation, discretization, and computational performance studies for phase-field fracture optimal control problems

Uses Software

• DOpElib

Cites Work

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