Mathias Lebihain
Research scientist
Research scientist
My research revolves around the emergence of effective mechanical properties from heterogeneities and multi-physics coupling, in the fields of fracture, friction, and adhesion. What unites these seemingly diverse domains is their describability, to varying degrees, through advanced theoretical models rooted in (non-)linear fracture mechanics. My approach to research is multi-faceted and dynamic. I combine model experiments, large-scale numerical simulations, and rigorous theoretical analyses to gain comprehensive insights into the intricate processes at play. While the outcomes of my investigations predominantly contribute to fundamental knowledge, I seek opportunities to correlate my findings with pertinent engineering challenges, such as composite design or fluid induced seismicity.
In particular, I am interested in:
Leblond J.-B., Lebihain M. (2023). An extended Bueckner–Rice theory for arbitrary geometric perturbations of cracks. Journal of the Mechanics and Physics of Solids, 172:105191. Open access version. No research data.
Lebihain M., Roch T., Molinari J. F. (2022). Quasi-static crack front deformations in cohesive materials. Journal of the Mechanics and Physics of Solids, 168:105025. Open access version. Open data.
Lebihain M., Leblond J.-B., Ponson L. (2022). Crack front instability in mixed-mode I+III: the influence of non-singular stresses. European Journal of Mechanics – A/Solids, 104602. Open access version. Open data.
Paglialunga, F., Passelègue, F. X., Brantut, N., Barras, F., Lebihain, M., and Violay, M. (2022). On the scale dependence in the dynamics of frictional rupture : Constant fracture energy versus size-dependent breakdown work. Earth and Planetary Science Letters, 584:117442. Open access version. Open data.
Lebihain, M., Roch, T., Violay, M., and Molinari, J.-F. (2021). Earthquake nucleation along faults with heterogeneous weakening rate. Geophysical Research Letters, 48(21) :e2021GL094901. Open access version. Open data.
Lebihain, M., Ponson, L., Kondo, D., and Leblond, J.-B. (2021). Effective toughness of disordered brittle solids : A homogenization framework. Journal of the Mechanics and Physics of Solids, 153:104463. Open access version.
Albertini, G., Lebihain, M., Hild, F., Ponson, L., and Kammer, D. S. (2021). Effective toughness of heterogeneous materials with rate-dependent fracture energy. Physical Review Letters, 127(3):035501. Open access version.
Lebihain, M. (2021). Towards brittle materials with tailored fracture properties : the decisive influence of the material disorder and its microstructure. International Journal of Fracture, 230(1) :99–114. Open access version.
Lebihain, M., Leblond, J.-B., and Ponson, L. (2020). Effective toughness of periodic heterogeneous materials : the effect of out-of-plane excursions of cracks. Journal of the Mechanics and Physics of Solids, 137 :103876. Open access version.