18 citations · 51 across the 26 of their papers we have counts for
14 papers · 1 filter
Measure structured deformations
stefan Krömer, Martin Kružík, Marco Morandotti +1
Measure structured deformations are introduced to present a unified theory of deformations of continua. The energy associated with a measure structured deformation is defined via r…
Mean-field limits for entropic multi-population dynamical systems
Stefano Almi, Claudio D'Eramo, Marco Morandotti +1
The well-posedness of a multi-population dynamical system with an entropy regularization and its convergence to a suitable mean-field approximation are proved, under a general set…
Semi-discrete modeling of systems of wedge disclinations and edge dislocations via the Airy stress function method
Pierluigi Cesana, Lucia De Luca, Marco Morandotti
We present a variational theory for lattice defects of rotational and translational type. We focus on finite systems of planar wedge disclinations, disclination dipoles, and edge d…
An alternate Lagrangian scheme for spatially inhomogeneous evolutionary games
Stefano Almi, Marco Morandotti, Francesco Solombrino
An alternate Lagrangian scheme at discrete times is proposed for the approximation of a nonlinear continuity equation arising as a mean-field limit of spatially inhomogeneous evolu…
Mean-field analysis of multi-population dynamics with label switching
Marco Morandotti, Francesco Solombrino
The mean-field analysis of a multi-population agent-based model is performed. The model couples a particle dynamics driven by a nonlocal velocity with a Markow-type jump process on…
Analysis of a perturbed Cahn-Hilliard model for Langmuir-Blodgett films
Marco Bonacini, Elisa Davoli, Marco Morandotti
An advective Cahn-Hilliard model motivated by thin film formation is studied in this paper. The one-dimensional evolution equation under consideration includes a transport term, wh…
Upscaling of screw dislocations with increasing tangential strain
Ilaria Lucardesi, Marco Morandotti, Riccardo Scala +1
The upscaling of a system of screw dislocations in a material subject to an external strain is studied. The -limit of a suitable rescaling of the renormalized energy is characte…
Discrete-to-continuum limits of particles with an annihilation rule
Patrick van Meurs, Marco Morandotti
In the recent trend of extending discrete-to-continuum limit passages for gradient flows of single-species particle systems with singular and nonlocal interactions to particles of…
Qualitative and quantitative properties of the dynamics of screw dislocations
Marco Morandotti
This note collects some results on the behaviour of screw dislocation in an elastic medium. By using a semi-discrete model, we are able to investigate two specific aspects of the d…
Boundary Behaviour and Confinement of Screw Dislocations
Marco Morandotti
In this note we discuss two aspects of screw dislocations dynamics: their behavior near the boundary and a way to confine them inside the material. In the former case, we obtain an…
Confinement of dislocations inside a crystal with a prescribed external strain
Ilaria Lucardesi, Marco Morandotti, Riccardo Scala +1
A system of screw dislocations in an isotropic crystal undergoing antiplane shear is studied in the framework of linear elasticity. Imposing a suitable boundary condition for t…
Explicit Formulas for Relaxed Disarrangement Densities Arising from Structured Deformations
Ana Cristina Barroso, José Matias, Marco Morandotti +1
Structured deformations provide a multiscale geometry that captures the contributions at the macrolevel of both smooth geometrical changes and non-smooth geometrical changes (disar…
Renormalized Energy and Peach-Köhler Forces for Screw Dislocations with Antiplane Shear
Timothy Blass, Marco Morandotti
We present a variational framework for studying screw dislocations subject to antiplane shear. Using a classical model developed by Cermelli and Gurtin, methods of Calculus of Vari…
Homogenization of functional with linear growth in the context of -quasiconvexity
José Matias, Marco Morandotti, Pedro M. Santos
This work deals with the homogenization of functionals with linear growth in the context of -quasiconvexity. A representation theorem is proved, where the new integran…