A Discontinuous Galerkin Method for an Incompatibility-Based Strain Gradient Plasticity Theory

DOI10.1007/978-1-4020-9090-5_20zbMath1209.74059OpenAlexW53478451MaRDI QIDQ5391695

J. T. Ostien, Krishna Garikipati

Publication date: 7 April 2011

Published in: IUTAM BookSeries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-9090-5_20

zbMATH Keywords

microforcesinterior penaltylifting operator

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (5)

Modelling the torsion of thin metal wires by distortion gradient plasticity ⋮ Three-dimensional isogeometric solutions to general boundary value problems of Toupin's gradient elasticity theory at finite strains ⋮ Size effects in phenomenological strain gradient plasticity constitutively involving the plastic spin ⋮ On the finite element implementation of higher-order gradient plasticity, with focus on theories based on plastic distortion incompatibility ⋮ 3D strain gradient elasticity: variational formulations, isogeometric analysis and model peculiarities

Cites Work

• A discontinuous Galerkin formulation for classical and gradient plasticity. II: Algorithms and numerical analysis
• A \(C^0\) discontinuous Galerkin formulation for Kirchhoff plates
• A discontinuous Galerkin formulation for classical and gradient plasticity. I: Formulation and analysis
• Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
• A discontinuous Galerkin method for strain gradient-dependent damage: study of interpolations and convergence
• A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
• A discontinuous Galerkin formulation for a strain gradient-dependent damage model
• A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin
• An explicit discontinuous Galerkin method for non-linear solid dynamics: Formulation, parallel implementation and scalability properties
• A discontinuous Galerkin method for the Cahn-Hilliard equation

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