List of Publications
Ambrosi, D., Favata, A., Paroni, R., Tomassetti, G., and Turzi, S. (2026). Shaping closed elastic rings through a jump in natural curvature. Journal of Nonlinear Science, 36(5), 108. doi:10.1007/s00332-026-10325-0.
Ciambella, J., Lombardo, L., Ruggieri, M., and Tomassetti, G. (2026). On the principle of virtual powers for magnetoelastic bodies. Mechanics Research Communications, 158, 104806. doi:10.1016/j.mechrescom.2026.104806.
Krömer, S. and Tomassetti, G. (2026). On the single field formulation in magnetostatics. Mathematics and Mechanics of Solids, accepted for publication. Preprint: arXiv:2605.19126.
Abeyaratne, R., Dharmaravam, S., Saccomandi, G., and Tomassetti, G. (2026). Using stochastic thermodynamics with internal variables to capture orientational spreading in cell populations undergoing cyclic stretch. Proceedings of the Royal Society A, 20250705. doi:10.1098/rspa.2025.0705.
Curatolo, M., Tomassetti, G., van der Sman, R., and Teresi, L. (2026). Thermal dehydration of swollen heterogeneous soft materials. Soft Matter, 22(17), 3238–3251. doi:10.1039/D5SM00738A.
Ambrosi, D., Favata, A., Paroni, R., and Tomassetti, G. (2026). Oncogenic transformation of tubular epithelial ducts: How mechanics affects morphology. European Journal of Mechanics – A/Solids, 117, 105984. doi:10.1016/j.euromechsol.2025.105984.
Grande, R., Krömer, S., Kružík, M., and Tomassetti, G. (2026). Homogenization of magnetoelastic materials with rigid magnetic inclusions at small strains. Journal of Nonlinear Science, 36(1), 4. doi:10.1007/s00332-025-10219-7.
Ruggieri, M., Ciambella, J., Tomassetti, G., and Rudykh, S. (2025). Magneto-viscoelastic laminates in finite shear. International Journal of Non-Linear Mechanics, 175, 105085. doi:10.1016/j.ijnonlinmec.2025.105085.
Rubin, M. B. and Tomassetti, G. (2025). An Eulerian formulation of a constrained variable thickness growing Cosserat shell. International Journal of Solids and Structures, 316, 113364. doi:10.1016/j.ijsolstr.2025.113364.
Micheletti, A., Tiero, A., and Tomassetti, G. (2024). Simulation and design of isostatic thick origami structures. Meccanica, 59, 1403–1423. doi:10.1007/s11012-024-01815-0.
Davoli, E., Nik, K., Stefanelli, U., and Tomassetti, G. (2024). An existence result for accretive growth in elastic solids. Mathematical Models and Methods in Applied Sciences, 34(11), 2169–2190. doi:10.1142/S0218202524500465.
Tomassetti, G. (2024). A coordinate-free guide to the mechanics of thin shells. Mechanics of Materials, 192, 104961. doi:10.1016/j.mechmat.2024.104961.
Tambroni, N., Tomassetti, G., Lombardi, S., and Repetto, R. (2024). A mechanical model of ocular bulb vibrations and implications for acoustic tonometry. PLOS ONE, 19(1), e0294825. doi:10.1371/journal.pone.0294825.
Roubíček, T. and Tomassetti, G. (2024). Inhomogeneous finitely-strained thermoplasticity with hardening by an Eulerian approach. Discrete and Continuous Dynamical Systems – Series S, 17, 181–220. doi:10.3934/dcdss.2023180.
Renzi, D., Marfia, S., Tomassetti, G., and Zurlo, G. (2024). A discrete model for layered growth. European Journal of Mechanics – A/Solids, 105, 105232. doi:10.1016/j.euromechsol.2024.105232.
Abeyaratne, R., Puntel, E., and Tomassetti, G. (2023). On the stability of surface growth: The effect of a compliant surrounding medium. Journal of Elasticity, 154, 467–491. doi:10.1007/s10659-022-09951-y.
Abeyaratne, R., Puntel, E., and Tomassetti, G. (2022). An elementary model of focal adhesion detachment and reattachment during cell reorientation using ideas from the kinetics of wiggly energies. Journal of Elasticity, 155, 221–241. doi:10.1007/s10659-022-09936-x.
Abeyaratne, R., Puntel, E., Recrosi, F., and Tomassetti, G. (2022). Surface accretion of a pre-stretched half-space: Biot’s problem revisited. Journal of the Mechanics and Physics of Solids, 167, 104958. doi:10.1016/j.jmps.2022.104958.
Barsotti, R., Paroni, R., and Tomassetti, G. (2022). On the stability of the helicoidal configuration in ribbons subjected to combined traction and twist. International Journal of Solids and Structures, 250, 111692. doi:10.1016/j.ijsolstr.2022.111692.
Favata, A., Paroni, R., Recrosi, F., and Tomassetti, G. (2022). Young modulus of healthy and cancerous epithelial tissues from indirect measurements. Mechanics Research Communications, 124, 103952. doi:10.1016/j.mechrescom.2022.103952.
Favata, A., Paroni, R., Recrosi, F., and Tomassetti, G. (2022). Competition between epithelial tissue elasticity and surface tension in cancer morphogenesis. International Journal of Engineering Science, 176, 103677. doi:10.1016/j.ijengsci.2022.103677.
Ciambella, J., Kružík, M. and Tomassetti, G. (2022). A theory of magneto-elastic nanorods obtained through rigorous dimension reduction. Applied Mathematical Modelling, 106, 426–447. doi:10.1016/j.apm.2022.01.028.
Lembo, M. and Tomassetti, G. (2022). Equilibrium of Kirchhoff’s rods subject to a distribution of magnetic couples. International Journal of Solids and Structures, 238, 111393. doi:10.1016/j.ijsolstr.2021.111393.
Tomassetti, G. (2022). Modeling the diffusion of a fluid in a strained solid: A comparison between different formats. Applications in Engineering Science, 9, 100079. doi:10.1016/j.apples.2021.100079.
Roubíček, T. and Tomassetti, G. (2021). A convective model for poro-elastodynamics with damage and fluid flow towards Earth lithosphere modelling. Continuum Mechanics and Thermodynamics, 33(6), 2345–2361. doi:10.1007/s00161-021-01043-x.
Durastanti, R., Giacomelli, L., and Tomassetti, G. (2021). Shape programming of a magnetic elastica. Mathematical Models and Methods in Applied Sciences, 31, 675–710. doi:10.1142/S0218202521500160.
Tomassetti, G. (2021). An interpretation of Temam’s extra force in the quasi-incompressible Navier-Stokes system. Applications in Engineering Science, 5, 100028. doi:10.1016/j.apples.2020.100028.
Abeyaratne, R., Puntel, E., and Tomassetti, G. (2020). Mechanics of surface growth: Stability of 1D and 2D treadmilling systems. Lecture Notes in Mechanical Engineering, 1283–1292. doi:10.1007/978-3-030-41057-5_103.
Ciambella, J. and Tomassetti, G. (2020). A form-finding strategy for magneto-elastic actuators. International Journal of Non-Linear Mechanics, 119, 103297. doi:10.1016/j.ijnonlinmec.2019.103297.
Roubíček, T. and Tomassetti, G. (2020). Dynamics of charged elastic bodies under diffusion at large strains. Discrete and Continuous Dynamical Systems – Series B, 25(4), 1415–1437. doi:10.3934/dcdsb.2019234.
Abeyaratne, R., Puntel, E., and Tomassetti, G. (2020). Treadmilling stability of a one-dimensional actin growth model. International Journal of Solids and Structures, 198, 87–98. doi:10.1016/j.ijsolstr.2020.04.009.
Bonetti, E., Colli, P., Scarpa, L., and Tomassetti, G. (2020). Bounded solutions and their asymptotics for a doubly nonlinear Cahn–Hilliard system. Calculus of Variations and Partial Differential Equations, 59(2), 1–25. doi:10.1007/s00526-020-1715-9.
Barsotti, R., Paroni, R., and Tomassetti, G. (2020). On the straight-helicoid to spiral-ribbon transition in thin elastic ribbons. Lecture Notes in Mechanical Engineering, 967–976. doi:10.1007/978-3-030-41057-5_79.
Recrosi, F., Repetto, R., Tatone, A., and Tomassetti, G. (2020). Mechanical model of fiber morphogenesis in the liver. Lecture Notes in Mechanical Engineering, 671–688. doi:10.1007/978-3-030-41057-5_55.
Saccomandi, G., Schlömerkemper, A., and Tomassetti, G. (2020). Foreword to the special issue “Mathematics & Mechanics: Natural Philosophy in the 21st Century.” International Journal of Non-Linear Mechanics, 123, 103475. doi:10.1016/j.ijnonlinmec.2020.103475.
Paroni, R. and Tomassetti, G. (2019). Macroscopic and microscopic behavior of narrow elastic ribbons. Journal of Elasticity, 135(1–2), 409–433. doi:10.1007/s10659-018-09712-w.
Bonetti, E., Colli, P., Scarpa, L., and Tomassetti, G. (2018). A doubly nonlinear Cahn–Hilliard system with nonlinear viscosity. Communications on Pure and Applied Analysis, 17(3), 1001–1022. doi:10.3934/cpaa.2018049.
Ciambella, J., Favata, A., and Tomassetti, G. (2018). A nonlinear theory for fibre-reinforced magneto-elastic rods. Proceedings of the Royal Society A, 474(2209), 20170703. doi:10.1098/rspa.2017.0703.
Paroni, R. and Tomassetti, G. (2018). Linear models for thin plates of polymer gels. Mathematics and Mechanics of Solids, 23(5), 835–862. doi:10.1177/1081286517698740.
Roubíček, T. and Tomassetti, G. (2018). A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis. Zeitschrift für Angewandte Mathematik und Physik, 69(3), 55. doi:10.1007/s00033-018-0932-y.
Lucantonio, A., Tomassetti, G., and 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. doi:10.1016/j.compositesb.2016.09.063.
Tomassetti, G. and Varano, V. (2017). Capturing the helical to spiral transitions in thin ribbons of nematic elastomers. Meccanica, 52(14), 3431–3441. doi:10.1007/s11012-017-0631-3.
Tomassetti, G. (2017). Smooth and non-smooth regularizations of the nonlinear diffusion equation. Discrete and Continuous Dynamical Systems – Series S, 10(6), 1519–1537. doi:10.3934/dcdss.2017078.
Bonetti, E., Colli, P., and Tomassetti, G. (2017). A non-smooth regularization of a forward-backward parabolic equation. Mathematical Models and Methods in Applied Sciences, 27(4), 641–661. doi:10.1142/S0218202517500129.
Chiricotto, M., Giacomelli, L., and Tomassetti, G. (2016). Dissipative scale effects in strain-gradient plasticity: The case of simple shear. SIAM Journal on Applied Mathematics, 76(2), 688–704. doi:10.1137/15M1048227.
Tomassetti, G., Cohen, T., and Abeyaratne, R. (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, 333–352. doi:10.1016/j.jmps.2016.05.015.
Duda, F. P. and Tomassetti, G. (2016). On the effect of elastic distortions on the kinetics of diffusion-induced phase transformations. Journal of Elasticity, 122(2), 179–195. doi:10.1007/s10659-015-9539-0.
Tiero, A. and Tomassetti, G. (2016). On morphoelastic rods. Mathematics and Mechanics of Solids, 21(8), 941–965. doi:10.1177/1081286514546178.
Paroni, R. and Tomassetti, G. (2015). Buckling of residually stressed plates: An asymptotic approach. Mathematics and Mechanics of Solids, 20(8), 982–997. doi:10.1177/1081286513512148.
Duda, F. P. and Tomassetti, G. (2015). Stress effects on the kinetics of hydrogen adsorption in a spherical particle: An analytical model. International Journal of Hydrogen Energy, 40(47), 17009–17016. doi:10.1016/j.ijhydene.2015.07.088.
Roubíček, T. and Tomassetti, G. (2015). Thermomechanics of damageable materials under diffusion: modelling and analysis. Zeitschrift für Angewandte Mathematik und Physik, 66(6), 3535–3572. doi:10.1007/s00033-015-0566-2.
Roubíček, T. and Tomassetti, G. (2014). Thermomechanics of hydrogen storage in metallic hydrides: Modeling and analysis. Discrete and Continuous Dynamical Systems – Series B, 19(7), 2313–2333. doi:10.3934/dcdsb.2014.19.2313.
Paroni, R. and Tomassetti, G. (2014). On Korn’s constant for thin cylindrical domains. Mathematics and Mechanics of Solids, 19(3), 318–333. doi:10.1177/1081286512465080.
Roubíček, T. and Tomassetti, G. (2013). Phase transformations in electrically conductive ferromagnetic shape-memory alloys, their thermodynamics and analysis. Archive for Rational Mechanics and Analysis, 210(1), 1–43. doi:10.1007/s00205-013-0648-2.
Chiricotto, M., Giacomelli, L., and Tomassetti, G. (2012). Torsion in strain-gradient plasticity: Energetic scale effects. SIAM Journal on Applied Mathematics, 72(4), 1169–1191. doi:10.1137/120863034.
Paroni, R. and Tomassetti, G. (2012). Asymptotically exact Korn’s constant for thin cylindrical domains. Comptes Rendus Mathématique, 350(15–16), 749–752. doi:10.1016/j.crma.2012.09.013.
Tomassetti, G. (2012). Curvature-driven motion of domain walls in hard ferromagnets. In Mechanics, Models and Methods in Civil Engineering (pp. 289–298). Springer. doi:10.1007/978-3-642-24638-8_19.
Bertsch, M., Dal Passo, R., Giacomelli, L., and Tomassetti, G. (2011). A nonlocal and fully nonlinear degenerate parabolic system from strain-gradient plasticity. Discrete and Continuous Dynamical Systems – Series B, 15(1), 15–43. doi:10.3934/dcdsb.2011.15.15.
Paroni, R. and Tomassetti, G. (2011). From non-linear elasticity to linear elasticity with initial stress via Γ-convergence. Continuum Mechanics and Thermodynamics, 23(4), 347–361. doi:10.1007/s00161-011-0184-y.
Vokoun, D., Tomassetti, G., Beleggia, M., and Stachiv, I. (2011). Magnetic forces between arrays of cylindrical permanent magnets. Journal of Magnetism and Magnetic Materials, 323(1), 55–60. doi:10.1016/j.jmmm.2010.08.029.
Roubíček, T. and Tomassetti, G. (2011). Ferromagnets with eddy currents and pinning effects: Their thermodynamics and analysis. Mathematical Models and Methods in Applied Sciences, 21(1), 29–55. doi:10.1142/S0218202511004976.
Tomassetti, G. (2011). On configurational balance in slender bodies. Archive of Applied Mechanics, 81(8), 1041–1050. doi:10.1007/s00419-010-0470-3.
Podio-Guidugli, P., Roubíček, T., and Tomassetti, G. (2010). A thermodynamically consistent theory of the ferro/paramagnetic transition. Archive for Rational Mechanics and Analysis, 198(3), 1057–1094. doi:10.1007/s00205-010-0349-z.
Favata, A., Podio-Guidugli, P., and Tomassetti, G. (2010). Energy splitting theorems for materials with memory. Journal of Elasticity, 101(1), 59–67. doi:10.1007/s10659-010-9244-y.
Roubíček, T. and Tomassetti, G. (2010). Thermodynamics of shape-memory alloys under electric current. Zeitschrift für Angewandte Mathematik und Physik, 61(1), 1–20. doi:10.1007/s00033-009-0007-1.
Riey, G. and Tomassetti, G. (2009). Micropolar linearly elastic rods. Communications in Applied Analysis, 13(4), 647–658.
Paroni, R. and Tomassetti, G. (2009). A variational justification of linear elasticity with residual stress. Journal of Elasticity, 97(2), 189–206. doi:10.1007/s10659-009-9217-1.
Roubíček, T., Tomassetti, G., and Zanini, C. (2009). The Gilbert equation with dry-friction-type damping. Journal of Mathematical Analysis and Applications, 355(2), 453–468. doi:10.1016/j.jmaa.2009.01.060.
Giacomelli, L. and Tomassetti, G. (2009). A dissipative system arising in strain-gradient plasticity. In Applied and Industrial Mathematics in Italy III (pp. 377–388). doi:10.1142/9789814280303_0034.
Riey, G. and Tomassetti, G. (2008). A variational model for linearly elastic micropolar plate-like bodies. Journal of Convex Analysis, 15(4), 677–691.
Paroni, R., Podio-Guidugli, P., and Tomassetti, G. (2007). A justification of the Reissner–Mindlin plate theory through variational convergence. Analysis and Applications, 5(2), 165–182. doi:10.1142/s0219530507000936.
Pede, N., Podio-Guidugli, P., and Tomassetti, G. (2006). Balancing the force that drives the peeling of an adhesive tape. Nuovo Cimento della Società Italiana di Fisica B, 121(5), 531–543. doi:10.1393/ncb/i2006-10067-0.
Froiio, F., Tomassetti, G., and Vardoulakis, I. (2006). Mechanics of granular materials: The discrete and the continuum descriptions juxtaposed. International Journal of Solids and Structures, 43(25–26), 7684–7720. doi:10.1016/j.ijsolstr.2006.03.023.
Podio-Guidugli, P. and Tomassetti, G. (2006). Magnetization switching with nonstandard dissipation. IEEE Transactions on Magnetics, 42(11), 3652–3656. doi:10.1109/TMAG.2006.881907.
Paroni, R., Podio-Guidugli, P., and Tomassetti, G. (2006). The Reissner–Mindlin plate theory via Γ-convergence. Comptes Rendus Mathématique, 343(6), 437–440. doi:10.1016/j.crma.2006.08.006.
Podio-Guidugli, P. and Tomassetti, G. (2004). On the evolution of domain walls in hard ferromagnets. SIAM Journal on Applied Mathematics, 64(6), 1887–1906. doi:10.1137/S003613990343402X.
Lancioni, G. and Tomassetti, G. (2004). Novel approaches in civil engineering. In M. Frémond and F. Maceri (Eds.), Lecture Notes in Applied and Computational Mechanics (Vol. 14). Springer. doi:10.1007/978-3-540-45287-4.
Podio-Guidugli, P. and Tomassetti, G. (2002). On the steady motions of a flat domain wall in a ferromagnet. European Physical Journal B, 26(2), 191–198. doi:10.1007/s10051-002-8958-4.
Lancioni, G. and Tomassetti, G. (2002). Flexure waves in electroelastic plates. Wave Motion, 35(3), 257–269. doi:10.1016/S0165-2125(01)00108-1.
Podio-Guidugli, P. and Tomassetti, G. (2001). Thickness waves in electroelastic plates. Wave Motion, 34(2), 175–191. doi:10.1016/S0165-2125(00)00080-9.