A. Bach:
Anisotropic free-discontinuity functionals as the $\Gamma$-limit of second-order elliptic functionals
ESAIM: Control Optim. Calc. Var. Vol. 24, 2018
A. Bach, L. Sommer:
A $\Gamma$-convergence result for fluid-filled fracture propagation
ESAIM Math. Model. Numer. Anal. Vol. 54, 2020
A. Bach, A. Braides, C. I. Zeppieri:
Quantitative analysis of finite-difference approximations of free-discontinuity problems
Interfaces Free Bound. Vol. 22, 2020
A. Bach, A. Braides, M. Cicalese:
Discrete-to-continuum limits of multi-body systems with bulk and surface long-range interactions
SIAM J. Math. Anal. Vol. 52, p. 3600-2665, 2020
A. Bach, M. Cicalese, L. Kreutz, G. Orlando:
The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling
Calc. Var. Partial Diff. Equations Vol. 60, N. 4, p. Paper No. 149, 36pp., 2021
A. Bach, M. Cicalese, M. Ruf:
Random finite-difference discretizations of the Ambrosio-Tortorelli functional with optimal mesh size
SIAM J. Math. Anal. Vol. 53, N. 2, p. 22752318, 2021
A. Bach, R. Marziani, C. I. Zeppieri:
$\Gamma$-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals
Calc. Var. PDE (Accepted Paper) 2021
A. Bach, T. Esposito, R. Marziani, C. I. Zeppieri:
Gradient damage models for heterogeneous materials
Siam J. Math. Anal. (Accepted Paper) 2022
A. Bach, T. Esposito, R. Marziani, C. I. Zeppieri:
Interaction between oscillations and singular perturbations in a one-dimensional phase-field model
Research in Mathematics of Materials Science Vol. 31, p. 3--31, 2022
A. Bach, M. Cicalese, L. Kreutz, G. Orlando:
The antiferromagnetic XY model on the triangular lattice: topological singularities
Indiana Univ. Mat. J. Vol. 71, p. 24112475, 2022
A. Bach, M. Ruf:
Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions
Calc. Var. Partial Differential Equations Vol. 61, p. art. 84, 2022
A. Bach, M. Ruf:
Stochastic homogenization of functionals defined on finite partitions
(preprint) 2023
A. Bach, M. Cicalese, A. Garroni, G. Orlando:
Stacking faults in the limit of a discrete model for partial edge dislocations
(Preprint) 2024