Journal articles

  1. Pierre Seppecher, Lukáš Jakabčin, Asymptotic comparison of the strain-gradient and micromorphic models when loading forces are widely spread. Theoretical Analyses, Computations and Experiments of Multiscale Materials. Springer, Cham, 253-272, 2022. HAL preprint: hal-03432329, November 2021.
  2. Martin J. Gander, Lukáš Jakabčin, Michal Outrata, The Schur complement on a bounded domain is a spectral Padé approximation about infinity of the Schur complement on the unbounded domain, submitted, HAL preprint: hal-03119569, January 2021.
  3. Houssam Abdoul-Anziz, Lukáš Jakabčin, Pierre Seppecher, Homogenization of an elastic material reinforced by very strong fibers arranged along a periodic lattice. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (PRSA), Vol. 477(2246), 20200620, 2021. HAL preprint: hal-02482837, February 2020.
  4. Lukáš Jakabčin, Pierre Seppecher, On periodic homogenization of highly contrasted elastic structures, Journal of the Mechanics and Physics of Solids (JMPS), Vol. 144, 104104, 2020. HAL preprint: hal-02379572, November 2019.
  5. Grégoire Allaire, Lukáš Jakabčin, Taking into account thermal residual stresses in topology optimization of structures built by additive manufacturing , Mathematical Models and Methods in Applied Sciences (M3AS), vol. 28 (12), 2313-2366, 2018. HAL preprint: hal-01666081, December 2017.
  6. Lukáš Jakabčin, Existence of solutions to an elasto-viscoplastic model with kinematic hardening and r-Laplacian fracture approximation, Mathematical Modelling and Numerical Analysis (M2AN), vol.50, no.2, 455-473, 2016.
  7. Lukáš Jakabčin, A visco-elasto-plastic evolution model with regularized fracture, Control, Optimisation and Calculus of Variations (COCV), vol. 22, no. 1., 148-168, 2016.
  8. Eric Bonnetier, Lukáš Jakabčin, Stéphane Labbé, Anne Replumaz, Numerical simulation of a class of models that combine several mechanisms of dissipation: fracture, plasticity, viscous dissipation, Journal of Computational Physics (JCP), 271, 397-414, 2014.

Thèse de Doctorat (my PhD thesis)

Modélisation, analyse et simulation numérique de solides combinant plasticité, rupture et dissipation visqueuse, Université J. Fourier, Grenoble, 2014.