Viscoelastic analysis of an adhesive-bonded plane lap joint

Finite‐element models of viscoelasticity and diffusion in adhesively bonded joints

“…The quantities GR, uG and em,, are, in general, functions of seven variables, oij and temperature T. In equations (1) and (2) summation on repeated indices over the range (1,2) is assumed.…”

“…Schapery's anisotropic viscoelastic constitutive law is given by ac, as,, *J aoij aaij A4nn e..= -~ + ~ where a A&,,,,, = 1: 3o ASin ($rt j r ) -(sij/aG) dr aT and eij and oij are the components of the strain and stress tensors, respectively; GR is the Gibbs free energy, 8ij and AS:, are the components of the second and fourth order material property tensors, respectively; and aG is a material kernel function defined in Reference 15. The quantities GR, uG and em,, are, in general, functions of seven variables, oij and temperature T. In equations (1) and (2) summation on repeated indices over the range (1,2) is assumed.…”

A Three-Dimensional Finite Element Formulation for Thermoviscoelastic Orthotropic Media

“…Viscoelastic ÿnite element analysis of bonded joints has been conducted by Nagaraja and Alwar, 25 Yadagiri et al 26 and Roy and Reddy. 27; 28 Applications of the ÿnite element method in the ÿeld of viscoelastic fracture mechanics have been presented by Krishnaswamy et al, 21 Moran and Knauss, 29 and Warby et al 30 Brinson and Knauss 31 have used the ÿnite element method to conduct an investigation of viscoelastic micromechanics.…”