Dispersion and isogeometric analyses of second-order and fourth-order implicit gradient-enhanced plasticity models

Numerical computation using splines (65D07) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

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Comparison of integral-type nonlocal plasticity models for strain-softening materials
Localization properties of strain-softening gradient plasticity models. II: Theories with gradients of internal variables
A numerical approach for arbitrary cracks in a fluid-saturated medium
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
A variational principle for gradient plasticity
Effect of boundaries and interfaces on shear-band localization
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An isogeometric analysis approach to gradient damage models
Isogeometric finite element data structures based on Bézier extraction of NURBS
Non-local yield limit degradation
Gradient-dependent plasticity: Formulation and algorithmic aspects
GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
Interpolation requirements for implicit gradient-enhanced continuum damage models
The Numerical Evaluation of B-Splines
A critical comparison of nonlocal and gradient-enhanced softening continua
An isogeometric analysis approach to gradient-dependent plasticity
Isogeometric analysis of fluid-saturated porous media including flow in the cracks

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