Theory and numerics of geometrically non-linear gradient plasticity
From MaRDI portal
Publication:535814
DOI10.1016/S0020-7225(03)00030-2zbMath1211.74042OpenAlexW1997855464MaRDI QIDQ535814
Tina Liebe, Paul Steinmann, Andreas Menzel
Publication date: 13 May 2011
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0020-7225(03)00030-2
Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)
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Cites Work
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- A finite element formulation for elastoplasticity based on a three-field variational equation
- On the role of gradients in the localization of deformation and fracture
- Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
- Complementary mixed finite element formulations for elastoplasticity
- Strain measures, integrability condition and frame indifference in the theory of oriented media
- One-dimensional localisation studied with a second grade model
- A thermodynamics-based formulation of gradient-dependent plasticity
- Post-necking behaviour modelled by a gradient dependent plasticity theory
- Views on multiplicative elastoplasticity and the continuum theory of dislocations
- Lattice incompatibility and a gradient theory of crystal plasticity
- An algorithm for gradient-regularized plasticity coupled to damage based on a dual mixed FE-formulation
- Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials
- A thermodynamical theory of gradient elastoplasticity with dislocation density tensor. I: Fundamentals
- Wave propagation, localization and dispersion in a gradient-dependent medium
- On the thermodynamics of system with nonlocality
- On the numerical treatment and analysis of finite deformation ductile single crystal plasticity
- Theory and numerics of a thermodynamically consistent framework for geometrically linear gradient plasticity
- Nonlocal Continuum Damage, Localization Instability and Convergence
- EXPONENTIAL MAP ALGORITHM FOR STRESS UPDATES IN ANISOTROPIC MULTIPLICATIVE ELASTOPLASTICITY FOR SINGLE CRYSTALS
- GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
- Formulation and computation of geometrically non-linear gradient damage
- On the characterization of geometrically necessary dislocations in finite plasticity
- Elastoplastic-damage modelling including the gradient of damage: Formulation and computational aspects
