We study a variational model describing the interaction of two one-dimensional elastic bodies through an adhesive layer, with the aim of modeling a simplified CFRP structure: e.g., a concrete beam or a medical rehabilitation device glued to a reinforcing polymeric fiber. Different constitutive assumptions for the adhesive layer are investigated: quadratic law and two kinds of softening law. In all cases properties of the equilibrium states of the structural system are analytically deduced. In the case of adhesion with softening, the minimum length of the elastic fiber avoiding debonding failure is estimated in terms of glue carrying capacity and the constitutive parameter of the fiber.
Elastic structures in adhesion interaction / Maddalena, Francesco; Percivale, Danilo; Tomarelli, Franco (SPRINGER OPTIMIZATION AND ITS APPLICATIONS). - In: Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design Contributions from a Workshop held at the School of Mathematics in Erice, Italy / [a cura di] Giuseppe Buttazzo, Aldo Frediani. - STAMPA. - Boston, MA : Springer, 2012. - ISBN 978-1-4614-2434-5. - pp. 289-304 [10.1007/978-1-4614-2435-2_12]
Elastic structures in adhesion interaction
Francesco Maddalena;
2012-01-01
Abstract
We study a variational model describing the interaction of two one-dimensional elastic bodies through an adhesive layer, with the aim of modeling a simplified CFRP structure: e.g., a concrete beam or a medical rehabilitation device glued to a reinforcing polymeric fiber. Different constitutive assumptions for the adhesive layer are investigated: quadratic law and two kinds of softening law. In all cases properties of the equilibrium states of the structural system are analytically deduced. In the case of adhesion with softening, the minimum length of the elastic fiber avoiding debonding failure is estimated in terms of glue carrying capacity and the constitutive parameter of the fiber.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
