Publications

Preprints

  • Local boundary conditions in nonlocal hyperelasticity via heterogeneous horizons (with H. Schönberger), Preprint arXiv:2509.03469

Journal articles

  1. Γ-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models (with J. Cueto and H. Schönberger), Nonlinear Anal. Real World Appl. 85, Article ID 104371 (2025), pp. 20; addendum 86, Article ID 104386, 1 p. (2025), Preprint arXiv:2404.18509
  2. Characterizing BV- and BD-ellipticity for a class of positively 1-homogeneous surface energy densities, accepted for publication in Journal of Convex Analysis (with D. Engl and M. Morandotti), Preprint arXiv:2402.15450
  3. Non-constant functions with zero nonlocal gradient and their role in nonlocal Neumann-type problems, Nonlinear Anal. 249 (2024) 113642, pp. 28 (with H. Schönberger), doi.org/10.1016/j.na.2024.113642, Preprint arXiv:2402.11308
  4. A variational perspective on auxetic metamaterials of checkerboard-type, Arch. Rational Mech. Anal. 248 (46) (2024) (with W.-P. Düll and D. Engl), doi.org/10.1007/s00205-024-01989-7, Preprint arXiv:2303.16159
  5. Variational analysis of integral functionals involving nonlocal gradients on bounded domains, Fractional Calculus and Applied Analysis (2023), Online First (with J. Cueto and H. Schönberger), doi 10.1007/s13540-023-00196-7, Preprint arXiv:2302.05569
  6. Structural changes in nonlocal denoising models arising through bi-level parameter learning, Appl. Math. Optim. 88 (9) (2023), pp. 47 (with E. Davoli, R. Ferreira and H. Schönberger), doi.org/10.1007/s00245-023-09982-4, Preprint arXiv:2209.06256
  7. Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals, Nonlinear Anal. 225 (2022), pp. 33 (with A. Ritorto and E. Zappale), doi.org/10.1016/j.na.2022.113111, Preprint arXiv:2204.06620
  8. On the interplay of anisotropy and geometry for polycrystals in single-slip crystal plasticity, ZAMM 102 (11) (2022), pp. 1-26 (with D. Engl), doi:10.1002/zamm.202100418, Preprint arXiv:2109.01022
  9. Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy, Math. Models Methods Appl. Sci. 32 (8) (2022), pp. 1633-1669 (with D. Engl and A. Ritorto), doi.org/10.1142/S0218202522500385, Preprint arXiv:2105:03971
  10. Quasiconvexity in the fractional calculus of variations: Characterization of lower semicontinuity and relaxation, Nonlinear Anal. 215 (2022), pp. 26 (with H. Schönberger),

Book chapters

  • On static and evolutionary homogenization in crystal plasticity for stratified composites, Springer AWM series volume "Research in the Mathematics of Materials Science", pp. 159-183, Springer, 2022  (with E. Davoli), doi.org/10.1007/978-3-031-04496-0
  • Variational modeling of slip: From crystal plasticity to geological strata, in S. Conti and K. Hackl, editor, Analysis and Computation of Microstructure in Finite Plasticity, Vol. 78 of Lecture Notes in Applied and Computational Mechanics, pp. 31-62, Springer, 2015 (with S. Conti and G. Dolzmann), doi:10.1007/978-3-319-18242-1

Proceedings

  • Nonlocal hyperelasticity: Analysis of variational models involving finite-horizon fractional gradients, Oberwolfach Reports 11 (2024), pp. 708-710 (with J. Cueto, H. Schönberger), doi:10.4171/OWR/2024/11
  • On the effective material response of bilayered composites in finite crystal plasticity, Oberwolfach Reports 17 (2016), pp. 34-37 (with F. Christowiak), doi:10.4171/OWR/2016/17
  • Laminate structures in plastic composite materials with rigid layers, Proc. Appl. Math. Mech. 15 (2015), pp. 539-540 (with F. Christowiak), doi:10.1002/pamm.201510260
  • Geometrically nonlinear models in crystal plasticity and the limit of rigid elasticity , Proc. Appl. Math. Mech. 10 (2010), pp. 3-6 (with S. Conti, G. Dolzmann), doi:10.1002/pamm.201010002
  • Analytical aspects of relaxation for models in crystal plasticity, Oberwolfach Reports 7 (2010), pp. 769-771 (with S. Conti, G. Dolzmann), doi:10.4171/OWR/2010/14

Theses

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