Long-term shear stress distribution in adhesively bonded tubular joints under tensile load using the time-temperature superposition principle

ABSTRACT

This paper addresses the effect of temperature on the long-term shear stress distribution in adhesively bonded tubular joints under tensile load. The equilibrium equations for the tubes in the overlap region have been derived by considering pure shear in the adhesive layer. The relaxation modulus of viscoelastic adhesive that depends on temperature has been obtained using time-temperature superposition principle. The equilibrium differential equations have been written in Laplace’s domain, and after solving them, Gaver-Stehfest inverse Laplace transform method has been used to obtain it in the time domain. The finite element simulation by ANSYS software has been used to confirm the validity of the results. The results show that the shear stress at a low temperature has a maximum value and occurs at the ends of overlap region. Also, an increase in temperature as well as the passage of time cause a reduction in the shear stress. Moreover, the shear stress in the adhesive layer will be less varied with the passage of time at higher temperatures.

KEYWORDS:

• Adhesively bonded tubular joint
• viscoelasticity
• time-temperature superposition principle
• shear stress
• Gaver-Stehfest method