A Density Result in GSBDp with Applications to the Approximation of Brittle Fracture Energies

A Chambolle, V Crismale - Archive for Rational Mechanics and Analysis, 2019 - Springer
We prove that any function in GSBD^ p (Ω) GSBD p (Ω), with Ω Ω an-dimensional open
bounded set with finite perimeter, is approximated by functions u_k ∈ SBV (Ω; R^ n) ∩ L^ ∞ …

[PDF][PDF] Quasistatic crack growth in finite elasticity with non-interpenetration

G Dal Maso, G Lazzaroni - Annales de l'IHP Analyse non linéaire, 2010 - numdam.org
Quasistatic crack growth in finite elasticity with non-interpenetration Page 1 Ann. IH Poincaré –
AN 27 (2010) 257–290 www.elsevier.com/locate/anihpc Quasistatic crack growth in finite …

Photoelectron spectra and geometric structures of small niobium cluster anions

H Kietzmann, J Morenzin, PS Bechthold, G Ganteför… - Physical review …, 1996 - APS
Photoelectron spectroscopy measurements and density functional theory calculations are
combined to determine structures of Nb n−(n= 3–8) clusters. A detailed comparison between …

Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture

S Almi, E Davoli, M Friedrich - Journal de Mathématiques Pures et …, 2023 - Elsevier
We characterize the passage from nonlinear to linearized Griffith-fracture theories under non-
interpenetration constraints. In particular, sequences of deformations satisfying a Ciarlet …

Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue

V Crismale, G Lazzaroni, G Orlando - Mathematical Models and …, 2018 - World Scientific
In this paper we prove the existence of quasistatic evolutions for a cohesive fracture on a
prescribed crack surface, in small-strain antiplane elasticity. The main feature of the model is …

On hyperelastic solid with thin rigid inclusion and crack subjected to global injectivity condition

AI Furtsev, EM Rudoy… - Philosophical …, 2024 - royalsocietypublishing.org
The paper investigates a problem concerning the equilibrium of a solid body containing a
thin rigid inclusion and a crack. It is assumed that the body is hyperelastic, therefore, it is …

Non-local damage modelling of quasi-brittle composites

J Vala, V Kozák - Applications of Mathematics, 2021 - Springer
Most building materials can be characterized as quasi-brittle composites with a cementitious
matrix, reinforced by some stiffening particles or elements. Their massive exploitation …

On the quasistatic limit of dynamic evolutions for a peeling test in dimension one

G Lazzaroni, L Nardini - Journal of Nonlinear Science, 2018 - Springer
The aim of this paper is to study the quasistatic limit of a one-dimensional model of dynamic
debonding. We start from a dynamic problem that strongly couples the wave equation in a …

[HTML][HTML] Existence and uniqueness of dynamic evolutions for a peeling test in dimension one

G Dal Maso, G Lazzaroni, L Nardini - Journal of Differential Equations, 2016 - Elsevier
In this paper we present a one-dimensional model of a dynamic peeling test for a thin film,
where the wave equation is coupled with a Griffith criterion for the propagation of the …

Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models

M Bonacini, S Conti, F Iurlano - Archive for Rational Mechanics and …, 2021 - Springer
In this paper we propose a notion of irreversibility for the evolution of cracks in the presence
of cohesive forces, which allows for different responses in the loading and unloading …