5 papers · 1 filter
On surface energies in scaling laws for singular perturbation problems for martensitic phase transitions
Angkana Rüland, Camillo Tissot, Antonio Tribuzio +1
The objective of this article is to compare different surface energies for multi-well singular perturbation problems associated with martensitic phase transformations involving hig…
Second-order asymptotics of fractional Gagliardo seminorms as and convergence of the associated gradient flows
Andrea Kubin, Valerio Pagliari, Antonio Tribuzio
We study the second-order asymptotic expansion of the -fractional Gagliardo seminorm as in terms of a higher order nonlocal functional. We prove a Mosco-convergence re…
On a -Structure in Geometrically Linearized Elasticity: Qualitative and Quantitative Analysis and Numerical Simulations
Roman Indergand, Dennis Kochmann, Angkana Rüland +2
We study the rigidity properties of the -structure for the symmetrized gradient from \cite{BFJK94} qualitatively, quantitatively and numerically. More precisely, we complement…
On the Effect of Geometry on Scaling Laws for a Class of Martensitic Phase Transformations
Janusz Ginster, Angkana Rüland, Antonio Tribuzio +1
We study scaling laws for singular perturbation problems associated with a class of two-dimensional martensitic phase transformations and deduce a domain dependence of the scaling…
Energy barriers for boundary nucleation in a two-well model without gauge invariance
Antonio Tribuzio, Konstantinos Zemas
We study energy scaling laws for a simplified, singularly perturbed, double-well nucleation problem confined in a half-space, in the absence of gauge invariance and for an inclusio…