In the frame of classical multi-body interaction potentials, we are interested in deriving rigorous crystallization results. By combining discrete, analytical, and computational techniques, our aim is that of investigating the local and global geometry of ground state configuration. The idea is that of predicting the emergence of higher level structures and investigate their corresponding properties.
This research line is currently funded by the WWTF grant
Variational modeling of carbon nanostructures.
E. Mainini, H. Murakawa, P. Piovano, U. Stefanelli
Carbon-nanotube geometries as optimal configurations
The modeling of novel multifunctional materials such as shape-memory
and magnetostrictive alloys is often very challenging due to the
multiplicity of physical effects that have to be taken into the
picture. Our focus here is to advance effective and reliable
constitutive models for the complex behavior of such materials and
analyze the corresponding mathematical formulations from the analytic
and the numerical viewpoint.
This research line is currently funded by the Joint FWF-GACR
FWF-GACR Joint International Project Variational structures in
thermomechanics of solids in combination with a WTZ scientific and
technological cooperation project of the OeAD.
D. Grandi, U. Stefanelli
Finite plasticity in $P^T P$. Part II: quasistatic evolution
SIAM J. Math. Anal. to appear (2017)
We are interested in the many aspects of the analysis of nonlinear
evolution equations, mostly of parabolic type. Rate-independent
models, often suggested by thermomechanical applications, are
considered along with their approximations. We have recently turned
attention also to the possibility of formulating suitable global
variational principle for evolution.
This research line is currently funded by the FWF grant GloVE:
Global variational methods for
G. Akagi, U. Stefanelli
Nondecreasing solutions to