Homogenization of energies defined on $1$-rectifiable currents
From MaRDI portal
Publication:4992574
zbMath1467.28003arXiv2009.08659MaRDI QIDQ4992574
Pietro Vermicelli, Adriana Garroni
Publication date: 9 June 2021
Full work available at URL: https://arxiv.org/abs/2009.08659
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Length, area, volume, other geometric measure theory (28A75) Homogenization, determination of effective properties in solid mechanics (74Q99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The line-tension approximation as the dilute limit of linear-elastic dislocations
- Density of polyhedral partitions
- Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity
- Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence
- Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization
- Normal and integral currents
- Homogenization by blow-up
- Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $