Mathematical Methods and Models for Engineering
Teaching activities
The aim of the programme is to deepen the knowledge of the students in the following areas of mathematics and engineering: partial differential equations in fluid dynamics, in the mechanics of solid, numerical methods per partial differential equations, calculus of variations, control theory, variational formulations of problems in engineering, scaling effects in metal plasticity, mechanics of fractures, homogenization of composite materials. The educational activity is to be decided for each student in collaboration with the supervisor. This activity will be complemented by participation in schools, conferences, workshops etc.
Research activities
Each PhD student will become a member of one of the research groups of the department, and will contribute to its research activity. Moreover, each PhD student is supposed to spend at least one semester abroad. During this period the student will proceed with the research in collaboration with foreign universities.Teaching activities.
Academic Disciplines
CEAR-06/A (formerly ICAR/08) – Structurak Nechanics
MATH-03/A (formerly MAT/05) – Mathematical Analysis
MATH-04/A (formerly MAT/07) – Mathematical Phisics
MATH-05/A (formerly MAT/08) – Numerical Analysis
Main Advisor
Prof. Hynek Kovarik
Program Assistant
Prof. Hynek Kovarik
Current PhD Students
List of international publications of DICACIM PhDs limited to the three-year period following the title
- Arrica M., Cabras L., Serpelloni M., Bonanno C., McMeeking R.M.Salvadori A., (2023) A coupled model of transport-reaction-mechanics with trapping, Part II: Large strain analysis, Journal of the Mechanics and Physics of Solids, Volume 181, 105425
- Bonanno C., Serpelloni M., Arrica M., McMeeking R.M.Salvadori A., (2023), Actin based motility unveiled: How chemical energy is converted into motion, Journal of the Mechanics and Physics of Solids, Volume 175, 105273
- Bardella, L., Volpini, V., Gei, M., (2022). On the effect of the volumetric deformation in soft dielectric composites with high phase contrast, Journal of Elasticity 148/2, 167-198, https://doi.org/10.1007/s10659-022-09891-7
- Leronni, A., (2022). Modeling the electrochemo-poromechanics of ionic polymer metal composites and cell clusters, Book published in “Springer Theses – Recognizing Outstanding Ph.D. Research”, http://dx.doi.org/10.1007/978-3-030-92276-4
- Serpelloni M., Arrica M., Bonanno C., Salvadori A., (2022), Chemo-transport-mechanics in advecting membranes, International Journal of Engineering Science, Volume 181, 103746
- Serpelloni M., Arrica M., Bonanno C., Salvadori A., (2021), Modeling cells spreading, motility, and receptors dynamics: a general framework, , Acta Mechanica Sinica Lixue Xuebao, Volume 37, pp. 1013–1030.
- Volpini, V., Bardella, L., (2021). Asymptotic analysis of compression sensing in ionic polymer metal composites: the role of interphase regions with variable properties, Mathematics in Engineering 3/2, 1-31, https://doi.org/10.3934/mine.2021014
- Leronni, A., Bardella, L., (2021). Modeling actuation and sensing in ionic polymer metal composites by electrochemo-poromechanics. Journal of the Mechanics and Physics of Solids 148, 104292 (22 pages), https://doi.org/10.1016/j.jmps.2021.104292
- Leronni, A., (2021). Modeling the mechanobioelectricity of cell clusters, Biomechanics and Modeling in Mechanobiology 20/2, 535-54, https://doi.org/10.1007/s10237-020-01399-0
- Magri M., Lucarini S., Lemoine G., Adam L., Segurado J. (2021), An FFT framework for simulating non-local ductile failure in heterogeneous materials, Computer Methods in Applied Mechanics and Engineering, Volume 380, 113759
- Magri M., Lemoine G., Adam L., Segurado J. (2020), A coupled model of diffusional creep of polycrystalline solids based on climb of dislocations at grain boundaries. Journal of the Mechanics and Physics of Solids, Volume 135, 103786
- Leronni, A., Bardella, L., Dorfmann, L., Pietak, A., Levin, M., (2020). On the coupling of mechanics with bioelectricity and its role in morphogenesis, Journal of the Royal Society Interface 17/167, 20200177 (12 pages), https://dx.doi.org/10.1098/rsif.2020.0177
- Volpini, V., Bardella, L., Gei, M., (2019). A note on the solution of the electro-elastic boundary-value problem for rank-two laminates at finite strains. Meccanica 54/13, 1971-1982 Special Issue “Mechanics of Extreme Materials”, https://doi.org/10.1007/s11012-019-00974-9
- Leronni A., Bardella L., (2019). Influence of shear on the sensing of ionic polymer metal composites, European Journal of Mechanics A/Solids 77, 103750 (17 pages), https://doi.org/10.1016/j.euromechsol.2019.02.016
- Salvadori A., McMeeking R., Grazioli D., Magri M., (2018), A coupled model of transport-reaction-mechanics with trapping. Part I – Small strain analysis, Journal of the Mechanics and Physics of Solids, Volume 114 pp. 1–30.