A high-order finite deformation phase-field approach to fracture

DOI10.1007/s00161-015-0440-7zbMath1379.74026OpenAlexW285315254MaRDI QIDQ680853

Kerstin Weinberg, Christian Hesch

Publication date: 29 January 2018

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-015-0440-7

zbMATH Keywords

fracture mechanicsfinite deformationsisogeometric analysishigh-order phase-field model

Mathematics Subject Classification ID

Brittle fracture (74R10)

Related Items

Variational modeling of hydromechanical fracture in saturated porous media: a micromechanics-based phase-field approach ⋮ Continuum modeling of twinning, amorphization, and fracture: theory and numerical simulations ⋮ Phase field theory for fracture at large strains including surface stresses ⋮ Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation ⋮ Adaptive multi-patch isogeometric phase-field method for quasi-static brittle fracture based on Nitsche's method ⋮ Variational modeling of thermomechanical fracture and anisotropic frictional mortar contact problems with adhesion ⋮ Variational phase-field formulation of non-linear ductile fracture ⋮ On penalization in variational phase-field models of brittle fracture ⋮ A phase-field approach to conchoidal fracture ⋮ A framework for efficient isogeometric computations of phase-field brittle fracture in multipatch shell structures ⋮ Numerical Implementation of Phase-Field Models of Brittle Fracture

Cites Work

• Unnamed Item
• A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework
• A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
• A phase-field description of dynamic brittle fracture
• Revisiting brittle fracture as an energy minimization problem
• The Influence of Quadrature Errors on Isogeometric Mortar Methods
• Overlapping Schwarz Methods for Isogeometric Analysis
• Thermodynamically consistent algorithms for a finite-deformation phase-field approach to fracture
• Local Casimir energy for a wedge with a circular outer boundary
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• The variational formulation of brittle fracture: numerical implementation and extensions