List of Publications
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, in press.
Ambrosi, D., Favata, A., Paroni, R., and Tomassetti, G. (2025). 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.