Some Aspects of a Discontinuous Galerkin Formulation for Gradient Plasticity at Finite Strains

DOI10.1007/978-1-4020-9090-5_22zbMath1209.74053OpenAlexW2283242176MaRDI QIDQ5391697

Reddy, B. Daya, Andrew T. McBride

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_22

zbMATH Keywords

finite deformationsgradient plasticitydiscontinuous Galerkin

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-dependent theories of plasticity (74C20)

Related Items

Alternative formulations of isotropic hardening for Mises materials, and associated variational inequalities, The role of dissipation and defect energy in variational formulations of problems in strain-gradient plasticity. I: Polycrystalline plasticity, Some Aspects of a Discontinuous Galerkin Formulation for Gradient Plasticity at Finite Strains

Cites Work

• Finite strain logarithmic hyperelasto-plasticity with softening: a strongly non-local implicit gradient framework
• A discontinuous Galerkin formulation for classical and gradient plasticity. II: Algorithms and numerical analysis
• A discontinuous Galerkin formulation for classical and gradient plasticity. I: Formulation and analysis
• Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
• Plasticity. Mathematical theory and numerical analysis
• A unified treatment of strain gradient plasticity
• A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
• An evaluation of higher-order plasticity theories for predicting size effects and localisation
• On the formulation of enhanced strain finite elements in finite deformations
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
• Some Aspects of a Discontinuous Galerkin Formulation for Gradient Plasticity at Finite Strains