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Publications

Preprints

  • Γ-convergence involving nonlocal gradients with varying horizon: Recovery of local and fractional models (with J. Cueto and H. Schönberger), Preprint arXiv:2404.18509

Journal articles

  1. 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
  2. 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
  3. 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
  4. 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 
  5. 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
  6. 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
  7. 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
  8. 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
  9. Quasiconvexity in the fractional calculus of variations: Characterization of lower semicontinuity and relaxation, Nonlinear Anal. 215 (2022), pp. 26 (with H. Schönberger), doi.org/10.1016/j.na.2021.112625. Preprint arXiv:2104:04833
  10.  Loss of double-integral character during relaxation, SIAM J. Math. Anal., 53 (1) (2021), pp. 351-385 (with E. Zappale), doi:10.1137/20M1319322, Preprint arXiv:1907.13180
  11. Theories for incompressible rods: a rigorous derivation via Gamma-convergence, Asymptotic Analysis 124 (1-2) (2021), pp. 1-28 (with D. Engl), doi:10.3233/ASY-201636, Preprint arXiv:2002.09886
  12. Asymptotic variational analysis of incompressible elastic strings, Proc. Roy. Soc. Edinburgh Sect. A, 151 (5), pp. 1487 - 1514 (2021), pp. 1487 - 1514 (with D. Engl), doi:10.1017/prm.2020.70, Preprint arXiv:1909.07901
  13. Lower semicontinuity and relaxation of nonlocal L∞-functionals, Calc. Var. PDE 59:138 (2020), 36 pages (with E. Zappale), doi:10.1007/s00526-020-01782-w, Preprint arXiv:1905.08832
  14. Homogenization in BV of a model for layered composites in finite crystal plasticity, Adv. Calc. Var. 14 (3) (2021), pp. 441-473 (with E. Davoli, R. Ferreira), https://doi.org/10.1515/acv-2019-0011, Preprint arXiv:1901.11517
  15. Asymptotic rigidity of layered structures and its application in homogenization theory, Arch. Rational Mech. Anal. 235 (1) (2019), pp. 51-98 (with F. Christowiak), doi:10.1007/s00205-019-01418-0, Preprint arXiv:1808.10494
  16. Characterizations of symmetric polyconvexity, Arch. Rational Mech. Anal. 234 (1) (2019), pp. 417-451 (with O. Boussaid, A. Schlömerkemper), doi:10.1007/s00205-019-01395-4, Preprint arXiv:1806.06434
  17. Homogenization of layered materials with rigid components in single-slip finite crystal plasticity, Calc. Var. PDE 56:75 (2017), 28 pages (with F. Christowiak), doi:10.1007/s00526-017-1171-3, Preprint arXiv:1604.03483
  18. Heterogeneous thin films: Combining homogenization and dimension reduction with directors, SIAM J. Math. Anal. 48 (2015), pp. 785-820 (with S. Krömer), doi:10.1137/15M1032557, Preprint arXiv:1502.07139
  19. A note on 3d-1d dimension reduction with differential constraints, Discrete Contin. Dyn. Syst. Ser. S 10 (2017), pp. 55-73
  20. Thin-film limits of functionals on A-free vector fields, Indiana Univ. Math. J. 64 (2015), pp. 1383-1423 (with F. Rindler), doi:10.1512/iumj.2015.64.5653, Preprint arXiv:1105.3848
  21. Characterization of polynomials and higher-order Sobolev spaces in terms of functionals involving difference quotients, Nonlinear Anal. 112 (2015), pp. 199-214 (with R. Ferreira, A. M. Ribeiro), doi:10.1016/j.na.2014.09.007, Preprint WIAS No. 1949
  22. Asymptotic spectral analysis in semiconductor nanowire heterostructures, Appl. Anal. 94 (2015), pp.1153-1191 (with L. Mascarenhas), doi:10.1080/00036811.2014.919052, Preprint arXiv:1309.3831
  23. Relaxation of a model in finite plasticity with two slip systems, Math. Models Methods Appl. Sci. 23 (2013), pp. 2111-2128 (with S. Conti, G. Dolzmann), doi: 10.1142/S0218202513500279
  24. Relaxation and microstructure in a model for finite crystal plasticity with one slip system in three dimensions, Discrete Contin. Dyn. Syst. Ser. S 6 (2013), pp. 1-16 (with S. Conti, G. Dolzmann), doi:10.3934/dcdss.2013.6.1
  25. Another approach to the thin-film Gamma-limit of the micromagnetic free energy in the regime of small samples, Quart. Appl. Math. 71 (2013), pp. 201-213, doi:10.1090/S0033-569X-2012-01323-5 , Preprint arXiv:1105:4266
  26. Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity, SIAM J. Math. Anal. 43 (2011), pp. 2337-2353 (with S. Conti, G. Dolzmann), doi:10.1137/100810320
  27. Relaxation of a class of variational models in crystal plasticity, Proc. Royal Soc. London 465 (2009), pp. 1735-1742 (with S. Conti, G. Dolzmann), doi:10.1098/rspa.2008.0390

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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