2 papers
math.AP2023
On the Read-Shockley energy for grain boundaries in poly-crystals
Adriana Garroni, Martino Fortuna, Emanuele Spadaro
In the 50's Read and Shockley proposed a formula for the energy of small angle grain boundaries in polycrystals based on linearised elasticity and an ansazt on the distribution of…
math.AP2023
Homogenization of line tension energies
Martino Fortuna, Adriana Garroni
We prove an homogenization result, in terms of -convergence, for energies concentrated on rectifiable lines in without boundary. The main application of our result is in…