Gradient damage models and their use to approximate brittle fracture

K Pham, H Amor, JJ Marigo… - International Journal of …, 2011 - journals.sagepub.com
In its numerical implementation, the variational approach to brittle fracture approximates the
crack evolution in an elastic solid through the use of gradient damage models. In this article …

A critical comparison of nonlocal and gradient-enhanced softening continua

RHJ Peerlings, MGD Geers, R de Borst… - International Journal of …, 2001 - Elsevier
Continuous models of material degradation may cease to produced meaningful results in
the presence of high strain gradients. These gradients may occur for instance in the …

Nonlocal models for damage and fracture: comparison of approaches

M Jirasek - International Journal of Solids and Structures, 1998 - Elsevier
The paper analyzes nonlocal constitutive models used in simulations of damage and
fracture processes of quasibrittle materials. A number of nonlocal formulations found in the …

State of the art on structural reinforced concrete design guidelines with non-linear analyses

MRT Arruda, M Deividas, K Vadimas - Mechanics of Advanced …, 2024 - Taylor & Francis
Structural design rules of reinforced concrete structures for using non-linear analysis with
MC2010 are presented in this article. The authors propose guidelines and good practice for …

Performance of the ALEPH detector at LEP

D Buskulic, D Casper, I De Bonis, D Decamp… - Nuclear Instruments and …, 1995 - Elsevier
The performance of the ALEPH detector at the LEP e+ e− collider is reviewed. The accuracy
of the tracking detectors to measure the impact parameter and momentum of charged tracks …

Discrete element modelling of concrete submitted to dynamic loading at high strain rates

S Hentz, FV Donzé, L Daudeville - Computers & structures, 2004 - Elsevier
The use of a 3D discrete element method (DEM) is proposed to study concrete submitted to
dynamic loading. The model has already been validated through quasi-static simulations …

From damage to fracture mechanics and conversely: a combined approach

J Mazars, G Pijaudier-Cabot - International journal of solids and structures, 1996 - Elsevier
Fracture mechanics and damage mechanics are two correlated theories. In some instances,
eg, for large specimens, crack propagation may be viewed equivalently as a sudden …

Some observations on localisation in non-local and gradient damage models

RHJ Peerlings, R De Borst… - European Journal of …, 1996 - research.tue.nl
Classical continuum descriptions of material degradation may cease tobe mathematically
meaningful in case of softening-induced localisationof deformation. Several enhancements …

A symmetric nonlocal damage theory

G Borino, B Failla, F Parrinello - International Journal of Solids and …, 2003 - Elsevier
The paper presents a thermodynamically consistent formulation for nonlocal damage
models. Nonlocal models have been recognized as a theoretically clean and …

The issues of the uniqueness and the stability of the homogeneous response in uniaxial tests with gradient damage models

K Pham, JJ Marigo, C Maurini - Journal of the Mechanics and Physics of …, 2011 - Elsevier
We consider a wide class of gradient damage models which are characterized by two
constitutive functions after a normalization of the scalar damage parameter. The evolution …