Reconciling Kozlov’s vakonomic method with the traditional non-holonomic method: solution of two benchmark problems
Author:
Funder
Ministero dell’Università e della Ricerca
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Computational Mechanics
Link
https://link.springer.com/content/pdf/10.1007/s00707-023-03811-z.pdf
Reference53 articles.
1. Bibbona, E., Fatibene, L., Francaviglia, M.: Chetaev vs. vakonomic prescriptions in constrained field theories with parametrized variational calculus. J. Math. Phys. 48(3), 032903 (2007). https://doi.org/10.1063/1.2709848
2. Bibbona, E., Fatibene, L., Francaviglia, M.: Gauge-natural parameterized variational problems, vakonomic field theories and relativistic hydrodynamics of a charged fluid. Int. J. Geometr. Methods Mod. Phys. 03(08), 1573–1608 (2006). https://doi.org/10.1142/S0219887806001843
3. Grillo, A., Di Stefano, S.: A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint. Math. Mech. Solids (2023). https://doi.org/10.1177/10812865231152228
4. Grillo, A., Di Stefano, S.: Addendum to “A formulation of volumetric growth as a mechanical problem subjected to non-holonomic and rheonomic constraint.” Math. Mech. Solids (2023). https://doi.org/10.1177/10812865231178291
5. Giorgio, I., dell’Isola, F., Andreaus, U., Misra, A.: An orthotropic continuum model with substructure evolution for describing bone remodeling: an interpretation of the primary mechanism behind Wolff’s law. Biomech. Model. Mechanobiol. 22, 2135–2152 (2023). https://doi.org/10.1007/s10237-023-01755-w
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