Strain gradient continuum plasticity theories: theoretical, numerical and experimental investigations

GZ Voyiadjis, Y Song - International Journal of Plasticity, 2019 - Elsevier
Over the last three decades, a number of researchers have used the gradient-enhanced
plasticity theory to model the microstructural material behavior, which is not able to be …

Modelling the torsion of thin metal wires by distortion gradient plasticity

L Bardella, A Panteghini - Journal of the Mechanics and Physics of Solids, 2015 - Elsevier
Under small strains and rotations, we apply a phenomenological higher-order theory of
distortion gradient plasticity to the torsion problem, here assumed as a paradigmatic …

Resolving geometrically necessary dislocation density onto individual dislocation types using EBSD-based continuum dislocation microscopy

TJ Ruggles, DT Fullwood, JW Kysar - International Journal of Plasticity, 2016 - Elsevier
Modeling of plasticity is often hampered by the difficulty in accurately characterizing
dislocation density on the microscale for real samples. It is particularly difficult to resolve …

[HTML][HTML] A finite element framework for distortion gradient plasticity with applications to bending of thin foils

E Martínez-Pañeda, CF Niordson, L Bardella - International Journal of …, 2016 - Elsevier
A novel general purpose Finite Element framework is presented to study small-scale metal
plasticity. A distinct feature of the adopted distortion gradient plasticity formulation, with …

Thermo-mechanical strain gradient plasticity with energetic and dissipative length scales

GZ Voyiadjis, D Faghihi - International Journal of Plasticity, 2012 - Elsevier
Plasticity in heterogeneous metallic materials of small volumes is governed by the
interactions of the dislocations in the bulk and at the interfaces. The temperature distribution …

On the finite element implementation of higher-order gradient plasticity, with focus on theories based on plastic distortion incompatibility

A Panteghini, L Bardella - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
We consider work-conjugate Gradient Plasticity (GP) theories involving both energetic and
dissipative higher-order contributions. We show that the conceptually most straightforward …

Influence of loading direction on the behavior of anisotropic granular materials

X Li, HS Yu - International Journal of Engineering Science, 2009 - Elsevier
Due to material anisotropy, the behavior of a granular material is generally directional-
dependent. The directions of stress and strain increment have been observed non …

Size effects in phenomenological strain gradient plasticity constitutively involving the plastic spin

L Bardella - International Journal of Engineering Science, 2010 - Elsevier
In the small deformation range, we consider and discuss the phenomenological (or
isotropic)“higher-order” theory of strain gradient plasticity put forward in Section 12 of Gurtin …

Fracture in distortion gradient plasticity

S Fuentes-Alonso, E Martínez-Pañeda - International Journal of …, 2020 - Elsevier
Due to its superior modelling capabilities, there is an increasing interest in distortion
gradient plasticity theory, where the role of the plastic spin is accounted for in the free energy …

[HTML][HTML] Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures

S Khakalo, A Laukkanen - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
In the present work, we combine Mindlin's strain gradient elasticity theory and Gudmundson–
Gurtin–Anand strain gradient plasticity theory to form a unified framework. The gradient …