Nonlocal elastodynamics and fracture

RP Lipton, PK Jha - Nonlinear Differential Equations and Applications …, 2021 - Springer
A nonlocal field theory of peridynamic type is applied to model the brittle fracture problem.
The elastic fields obtained from the nonlocal model are shown to converge in the limit of …

Analysis of a model of field crack mechanics for brittle materials

L Morin, A Acharya - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
A computational model for arbitrary brittle crack propagation, in a fault-like layer within a 3-d
elastic domain, and its associated quasi-static and dynamic fields is developed and …

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] On the Cauchy problem for the wave equation on time-dependent domains

G Dal Maso, R Toader - Journal of Differential Equations, 2019 - Elsevier
We introduce a notion of solution to the wave equation on a suitable class of time-dependent
domains and compare it with a previous definition. We prove an existence result for the …

[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 …

Weak formulation of elastodynamics in domains with growing cracks

E Tasso - Annali di Matematica Pura ed Applicata (1923-), 2020 - Springer
In this paper, we formulate and study the system of elastodynamics on domains with
arbitrary growing cracks. This includes homogeneous Neumann conditions on the crack sets …

From adhesive to brittle delamination in visco-elastodynamics

R Rossi, M Thomas - Mathematical Models and Methods in Applied …, 2017 - World Scientific
In this paper, we analyze a system for brittle delamination between two visco-elastic bodies,
also subject to inertia, which can be interpreted as a model for dynamic fracture. The rate …

A minimization approach to the wave equation on time-dependent domains

G Dal Maso, L De Luca - Advances in Calculus of Variations, 2020 - degruyter.com
We prove the existence of weak solutions to the homogeneous wave equation on a suitable
class of time-dependent domains. Using the approach suggested by De Giorgi and …

Analysis of a dynamic peeling test with speed-dependent toughness

G Lazzaroni, L Nardini - SIAM Journal on Applied Mathematics, 2018 - SIAM
We analyse a one-dimensional model of dynamic debonding for a thin film, where the local
toughness of the glue between the film and the substrate also depends on the debonding …

Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition

G Dal Maso, CJ Larsen, R Toader - Journal de Mathématiques Pures et …, 2019 - Elsevier
We consider a model of elastodynamics with fracture evolution, based on energy-dissipation
balance and a maximal dissipation condition. We prove an existence result in the case of …