Material length scale of strain gradient plasticity: A physical interpretation

D Liu, DJ Dunstan - International journal of plasticity, 2017 - Elsevier
The physical basis and the magnitude of the material length scale in theories of strain
gradient plasticity are crucial for accounting for size effects in the plastic behavior of metals …

Numerical simulation of strain localization through an integrated Cosserat continuum theory and strong discontinuity approach

H Tang, Y Li, Z Hu, X Song - Computers and Geotechnics, 2022 - Elsevier
In this paper, we propose a new numerical approach abbreviated as Cos-SDA for analyzing
strain localization problems of geomaterials. The Cos-SDA is achieved by implanting the …

[HTML][HTML] Eulerian rates of elastic incompatibilities applied to size-dependent hardening in finite torsion

MB Rubin, L Bardella - Journal of the Mechanics and Physics of Solids, 2024 - Elsevier
Measures of rates of elastic incompatibilities are developed within an Eulerian framework for
finite-deformation response of anisotropic elastic–inelastic materials. Such framework relies …

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 …

A potential for higher-order phenomenological strain gradient plasticity to predict reliable response under non-proportional loading

A Panteghini, L Bardella… - Proceedings of the …, 2019 - royalsocietypublishing.org
We propose a plastic potential for higher-order (HO) phenomenological strain gradient
plasticity (SGP), predicting reliable size-dependent response for general loading histories …

On the role of higher-order conditions in distortion gradient plasticity

A Panteghini, L Bardella - Journal of the Mechanics and Physics of Solids, 2018 - Elsevier
We focus on Gurtin's gradient plasticity (GP) theory adopting Nye's tensor as primal higher-
order (HO) kinematic variable, contributing to the free energy. In the absence of other HO …

Regularization of softening plasticity with the cumulative plastic strain-rate gradient

G Bacquaert, J Bleyer, C Maurini - Journal of the Mechanics and Physics of …, 2025 - Elsevier
We propose a novel variational framework to regularize softening plasticity problems.
Specifically, we modify the plastic dissipation potential term by adding a contribution …

[HTML][HTML] Modeling yield stress scaling and cyclic response using a size-dependent theory with two plasticity rate fields

A Panteghini, L Bardella, MB Rubin - Journal of the Mechanics and Physics …, 2025 - Elsevier
This work considers a recently developed finite-deformation elastoplasticity theory that
assumes distinct tensorial fields describing macro-plasticity and micro-plasticity, where the …

[HTML][HTML] Dissipation-consistent modelling and classification of extended plasticity formulations

AT McBride, BD Reddy, P Steinmann - … of the Mechanics and Physics of …, 2018 - Elsevier
A unified classification framework for models of extended plasticity is presented. The models
include well known micromorphic and strain-gradient plasticity formulations. A unified …

On dissipative gradient effect in higher-order strain gradient plasticity: the modelling of surface passivation

F Hua, D Liu - Acta Mechanica Sinica, 2020 - Springer
The phenomenological flow theory of higher-order strain gradient plasticity proposed by
Fleck and Hutchinson (J. Mech. Phys. Solids, 2001) and then improved by Fleck and Willis …