An adaptive \(h\)-refinement algorithm for local damage models

DOI10.3390/A2041281zbMath1461.74076OpenAlexW2152981527MaRDI QIDQ1662508

Jonathan S. Pitt, Francesco Costanzo

Publication date: 20 August 2018

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a2041281

zbMATH Keywords

continuum damage mechanicsadaptive mesh refinementdynamic fracturedamage-based refinement indicatorsdiscontinuous-Galerkin finite element methods

Mathematics Subject Classification ID

Brittle fracture (74R10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical and other methods in solid mechanics (74S99)

Uses Software

• deal.ii
• CUBIT

Cites Work

• Unnamed Item
• The thermodynamics of elastic materials with heat conduction and viscosity
• Introduction to continuum mechanics for engineers
• Computational inelasticity
• On the constitutive relations of materials with evolving microstructure due to microcracking
• An introduction to continuum mechanics
• A posteriori error analysis and adaptive processes in the finite element method: Part I—error analysis
• A‐posteriori error estimates for the finite element method
• GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• A non-local model with tension and compression damage mechanisms

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