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 …

A review of continuum damage and plasticity in concrete: Part II–Numerical framework

GZ Voyiadjis, B Ahmed, T Park - International Journal of …, 2022 - journals.sagepub.com
In this part II, companion article, we present the numerical review of continuum damage
mechanics and plasticity in the context of finite element. The numerical advancements in …

[PDF][PDF] Computational homogenization for the multi-scale analysis of multi-phase materials

V Kouznetsova - 2002 - research.tue.nl
Most of the materials produced and utilized in industry are heterogeneous on one or another
spatial scale. Typical examples include metal alloy systems, porous media, polycrystalline …

Nonlocal implicit gradient-enhanced elasto-plasticity for the modelling of softening behaviour

RAB Engelen, MGD Geers, FPT Baaijens - International journal of Plasticity, 2003 - Elsevier
An improved gradient-enhanced approach for softening elasto-plasticity is proposed, which
in essence is fully nonlocal, ie an equivalent integral nonlocal format exists. The method …

Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro-and nano-indentation experiments

RKA Al-Rub, GZ Voyiadjis - International Journal of plasticity, 2004 - Elsevier
The enhanced gradient plasticity theories formulate a constitutive framework on the
continuum level that is used to bridge the gap between the micromechanical plasticity and …

An isogeometric analysis approach to gradient damage models

CV Verhoosel, MA Scott, TJR Hughes… - … Journal for Numerical …, 2011 - Wiley Online Library
Continuum damage formulations are commonly used for the simulation of diffuse fracture
processes. Implicit gradient damage models are employed to avoid the spurious mesh …

[HTML][HTML] Gradient plasticity theory with a variable length scale parameter

GZ Voyiadjis, RKA Al-Rub - International Journal of solids and structures, 2005 - Elsevier
The definition and magnitude of the intrinsic length scale are keys to the development of the
gradient plasticity theory that incorporates size effects. However, a fixed value of the material …

Mixed finite element formulations of strain-gradient elasticity problems

E Amanatidou, N Aravas - Computer Methods in Applied Mechanics and …, 2002 - Elsevier
Theories on intrinsic or material length scales find applications in the modeling of size-
dependent phenomena. In elasticity, length scales enter the constitutive equations through …

A three-dimensional meso-scale modelling of concrete fracture, based on cohesive elements and X-ray μCT images

W Trawiński, J Tejchman, J Bobiński - Engineering fracture mechanics, 2018 - Elsevier
The paper shows three-dimensional numerical results regarding concrete fracture at
aggregate level in a notched concrete beam under bending using cohesive interface …

Two-dimensional simulations of concrete fracture at aggregate level with cohesive elements based on X-ray μCT images

W Trawiński, J Bobiński, J Tejchman - Engineering Fracture Mechanics, 2016 - Elsevier
The paper presents results of two-dimensional meso-scale simulations of fracture in notched
concrete beams subjected to three-point bending test. Concrete was assumed as a 4-phase …