A methodology for the computation of the macro-element stiffness matrix for the stress analysis of a lap joint with functionally graded adhesive properties

Benjamin Ordonneau (1) , Eric Paroissien (1) , Michel Salaün (1) , Julien Malrieu (2) , Alexandre Guigue (3) , Sébastien Schwartz (1)

1 ICA - Institut Clément Ader
2 CEntre Technique des Industries Mécaniques - Cetim (FRANCE)
3 DGA - Techniques aéronautiques

The interest of functionally graded adhesives (FGA) is growing as it is a mean to increase a bonded joint strength without any modification of the initial design of the adherends. The behaviour of bonded joints with variable adhesive properties along the overlap can be predicted with a potentially time-costly Finite Element (FE) analysis. Dedicated numerical procedures and design tools for FGA bonded joints would increase. The objective of this paper is to offer a mesh-free method for the analysis of functionally graded joints. The technique is based on the macro-element (ME) method and Taylor expansion in power series (TEPS) are used to approach the shape functions of the ME. The method has been developed so far for 1D-bar and 1D-beam kinematics frameworks. This mesh-free_method and a Finite-Element analysis give similar results.

Mots clés: Functionally graded adhesive; Single-lap bonded joint; Taylor expansion in power series; Variable modulus; Stress distribution; Joint design; Finite element stress analysis

Domaines: Mécanique des matériaux [physics.class-ph]; Mécanique des structures [physics.class-ph]

Benjamin Ordonneau, Eric Paroissien, Michel Salaün, Julien Malrieu, Alexandre Guigue, et al.. A methodology for the computation of the macro-element stiffness matrix for the stress analysis of a lap joint with functionally graded adhesive properties. International Journal of Adhesion and Adhesives, 2020, 97, pp.0. ⟨10.1016/j.ijadhadh.2019.102505⟩. ⟨hal-02539836⟩