Recent papers

Magnetoelasticity, magnetism-based mechanical actuation, phase transitions in magnetism

Roubíček, T., & Tomassetti, G. (2020) Dynamics of charged elastic bodies under diffusion at large strains. Discrete & Continuous Dynamical Systems - B, 25(4), 1415–1437. https://doi.org/10.3934/dcdsb.2019234. ArXiv: https://arxiv.org/abs/1908.01811

J. Ciambella and G. Tomassetti (2020) A Form-Finding Strategy for Magneto-Elastic Actuators. International Journal of Non-Linear Mechanics 119 (March): 103297. https://doi.org/10.1016/j.ijnonlinmec.2019.103297 Preprint

R. Durastanti, L. Giacomelli, and G. Tomassetti (2020). Shape programming of a magnetic elastica. arXiv preprint: https://arxiv.org/abs/2003.02696

Additive manufacturing, surface growth

Abeyaratne R., Puntel E., and Tomassetti G. (2020) Treadmilling Stability of a One-Dimensional Actin Growth Model". Accepted for publication on the International Journal of Solids and Structures. ArXiv preprint: http://arxiv.org/abs/2001.00510.

Abeyaratne R., Puntel E., Tomassetti G. (2020) Mechanics of Surface Growth: Stability of 1D and 2D Treadmilling Systems. In: Carcaterra A., Paolone A., Graziani G. (eds) Proceedings of XXIV AIMETA Conference 2019. AIMETA 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-41057-5_103

G. Tomassetti, T. Cohen, and R. Abeyaratne (2016) Steady Accretion of an Elastic Body on a Hard Spherical Surface and the Notion of a Four-Dimensional Reference Space. Journal of the Mechanics and Physics of Solids 96 (November): 333–52. https://doi.org/10.1016/j.jmps.2016.05.015. ArXiv preprint: https://arxiv.org/abs/1603.03648

Mechanics of elastic ribbons

Barsotti R., Paroni R., Tomassetti G. (2020) On the Straight-Helicoid to Spiral-Ribbon Transition in Thin Elastic Ribbons. In: Carcaterra A., Paolone A., Graziani G. (eds) Proceedings of XXIV AIMETA Conference 2019. AIMETA 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-41057-5_79

Paroni, R., Tomassetti, G. Macroscopic and Microscopic Behavior of Narrow Elastic Ribbons. J Elast 135, 409–433 (2019). https://doi.org/10.1007/s10659-018-09712-w

Tomassetti, G., Varano, V. Capturing the helical to spiral transitions in thin ribbons of nematic elastomers. Meccanica 52, 3431–3441 (2017). https://doi.org/10.1007/s11012-017-0631-3. arXiv Preprint: https://arxiv.org/abs/1608.02793v1

Applications of Cahn-Hilliard type models

Recrosi F., Repetto R., Tatone A., Tomassetti G. (2020) Mechanical Model of Fiber Morphogenesis in the Liver. In: Carcaterra A., Paolone A., Graziani G. (eds) Proceedings of XXIV AIMETA Conference 2019. AIMETA 2019. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-41057-5_55

Bonetti, E., Colli, P., Scarpa, L., & Tomassetti, G. (2019). Bounded solutions and their asymptotics for a doubly nonlinear Cahn-Hilliard system. Accepted for publication on Calc. Var. Partial Diff. Eq. arXiv preprint arXiv:1908.02079. https://arxiv.org/abs/1608.02793v1

E. Bonetti, P. Colli, L. Scarpa, and G. Tomassetti (2018) A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity. Communications on Pure & Applied Analysis, 17(3): 1001-1022. doi: 10.3934/cpaa.2018049. arXiv preprint: https://arxiv.org/abs/1710.06698.

Poromechanics

Tomassetti, G. (2019). Modeling the diffusion of a fluid in a strained solid: a comparison between different formats. arXiv preprint arXiv:1911.11224. https://arxiv.org/abs/1911.11224

Paroni, R., & Tomassetti, G. (2018). Linear models for thin plates of polymer gels. Mathematics and Mechanics of Solids, 23(5), 835-862. https://doi.org/10.1177/1081286517698740

Lucantonio, A., Tomassetti, G., & DeSimone, A. (2017). Large-strain poroelastic plate theory for polymer gels with applications to swelling-induced morphing of composite plates. Composites Part B: Engineering, 115, 330-340. https://doi.org/10.1016/j.compositesb.2016.09.063

Fluid mechanics

Tomassetti, G. (2019). An interpretation of Temam’s stabilization term in the quasi-incompressible Navier-Stokes system. arXiv preprint arXiv:1909.11168. https://arxiv.org/abs/1909.11168