Dynamic analysis of cracked sheets repaired with composite patches using boundary elements method

Author(s)

Martim Mauler Neto

• Document type: Master's Dissertation
• Press: Campinas, SP.
• Institution: Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Mecânica
• Defense date: 2009-05-15

Examining board members

Paulo Sollero; Euclides de Mesquita Neto; Rogério José Marczak

• Advisor: Paulo Sollero

Abstract

The aim of this paper is to present the formulation and matrix implementation of a dynamic analysis of cracked sheets repaired with adhesively bonded composite patches. The numerical method that is used for modelling the problem of fracture mechanics is the dual boundary elements method (DBEM), which allows the modelling of a cracked sheet in a single region. This method uses a displacement integral equation in one of the sides of the crack surface and a traction integral equation in the other side of the crack surface. The body forces, due to the inertial effects of the sheet and the repair, and the interaction effect between the sheet and the anisotropic patch, are modelled using the dual reciprocity boundary elements method (DRBEM) technique, which allows the use of fundamental solutions from the elastostatics into problems of elastodynamics. The coupling between the isotropic metallic sheet and the anisotropic composite repair is modelled by the DBEM technique, in order to obtain the shear stress distribution in the adhesive layer. The shear stresses in the adhesive layer are obtained by the difference of nodal displacements between the sheet and the repair. The dynamic effects on the stress intensity factors are calculated by techniques based on the relative displacement of the crack faces and energy domain integration (EDI) (AU)