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Elastic Structures in Adhesion Interaction

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Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 66))

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.

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Authors and Affiliations

  1. Dipartimento di Matematica Politecnico di Bari, via Re David 200, 70125, Bari, Italy

    Francesco Maddalena

  2. Dipartimento di Ingegneria della Produzione Termoenergetica e Modelli Matematici, Università di Genova, Piazzale Kennedy, Fiera del Mare, Padiglione D, 16129, Genova, Italy

    Danilo Percivale

  3. Dipartimento di Matematica “Francesco Brioschi”, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy

    Franco Tomarelli

Authors
  1. Francesco Maddalena
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  2. Danilo Percivale
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  3. Franco Tomarelli
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Corresponding author

Correspondence to Francesco Maddalena .

Editor information

Editors and Affiliations

  1. , Dept. of Mathematics "L. Tonelli", University of Pisa, Largo Bruno Pontecorvo 5, Pisa, 56127, Italy

    Giuseppe Buttazzo

  2. , Dept. of Aerospace Engineering, University of Pisa, Via G. Caruso 8, Pisa, 56122, Italy

    Aldo Frediani

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Maddalena, F., Percivale, D., Tomarelli, F. (2012). Elastic Structures in Adhesion Interaction. In: Buttazzo, G., Frediani, A. (eds) Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design. Springer Optimization and Its Applications(), vol 66. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-2435-2_12

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