H. Nayebhashemi et al., MULTIAXIAL FATIGUE LIFE EVALUATION OF TUBULAR ADHESIVELY BONDED JOINTS, International journal of adhesion and adhesives, 17(1), 1997, pp. 55-63
The only viable method for joining plastic tubes and composite shafts
is by bonding them adhesively. These structures are often subjected to
complex cyclic loadings. Failure of these tubular joints not only dep
ends on the applied loads, but also depends on the tube geometry, mate
rial properties of adhesive and tubes, and defects in the joint. The s
hear stress distribution in the tubular joints is obtained for joints
under axial and torsional loadings using the shear lag model. Under ax
ial loading the adhesive is assumed to carry only shear stress and adh
erend to carry only axial load. However, the model considers the varia
tion of the shear stress across the adhesive thickness. The effect of
st void on the maximum shear stress is obtained. A nondimensional thet
a(a) parameter is defined and it is shown that the shear stress distri
bution not only depends on the value of theta(a) but it also depends o
n cross sectional geometry of the tubes. For tubes with equal cross se
ctional area, the shear stress distribution along the bonded area is a
lmost symmetric. For tubular joints with theta(a) equal or greater tha
n 6.7, a centrally symmetrical annular void with a size of at least 50
% of the overlap length has little effect on the maximum shear stress
and thus the failure load. The shear stress under torsional loading is
obtained by assuming the adhesive to shear in the circumferential dir
ection only and neglecting its other deformations. The tubes are assum
ed to shear in the axial direction. The analysis considers the variati
on of the shear stress across the adhesive thickness. As in the case o
f axial loading, a new nondimensional parameter, theta(t), for tubes u
nder torsion is defined. The results show that the shear stress in the
bonded area not only depends on the theta(t) value, but also depends
on the polar moment of inertia, J(1) and J(2), of the tubes. The effec
t of annular voids on the shear stress distribution is evaluated for d
ifferent void sizes and theta(t) values. The failure locus of adhesive
ly bonded tubular specimens under axial, torsional and combined axial
and torsional loadings is obtained. Based on these results a damage mo
del for the tubular joints under combined axial and torsional cyclic l
oading is proposed. It is shown that this model can predict the fatigu
e life of the tubular joints reasonably well. (C) 1997 Elsevier Scienc
e Limited.