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Elastic Structures in Adhesion Interaction

In: Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design

Author

Listed:
  • Francesco Maddalena

    (Dipartimento di Matematica Politecnico di Bari)

  • Danilo Percivale

    (Università di Genova)

  • Franco Tomarelli

    (Politecnico di Milano)

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.

Suggested Citation

  • Francesco Maddalena & Danilo Percivale & Franco Tomarelli, 2012. "Elastic Structures in Adhesion Interaction," Springer Optimization and Its Applications, in: Giuseppe Buttazzo & Aldo Frediani (ed.), Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design, edition 127, pages 289-304, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-2435-2_12
    DOI: 10.1007/978-1-4614-2435-2_12
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