This study is devoted to a prestressed and hyperelastic tube representing a vascular graft subjected to combined deformations. The analysis is carried out for a neo-Hookean response augmented with unidirectional reinforcing that is characterized by a single additional constitutive parameter for strength of reinforcement. It is shown that the stress gradients can be reduced in presence of prestress. [S0021-8936(00)00101-X]

1.
How
,
T. V.
,
Guidoin
,
R.
, and
Young
,
S. K.
,
1992
, “
Engineering Design of Vascular Prostheses
,”
J. Eng. Med.
,
206
, Part H, pp.
61
71
.
2.
Ogden
,
R. W.
,
Chadwick
,
P.
, and
Haddon
,
E. W.
,
1973
, “
Combined Axial and Torsional Shear of a Tube of Incompressible Isotropic Elastic Material
,”
Q. J. Mech. Appl. Math.
,
24
, pp.
23
41
.
3.
Mioduchowski
,
A.
, and
Haddow
,
J. B.
,
1979
, “
Combined Torsional and Telescopic Shear of a Compressible Hyperelastic Tube
,”
ASME J. Appl. Mech.
,
46
, pp.
223
226
.
4.
Abeyaratne
,
R. C.
,
1981
, “
Discontinuous Deformation Gradients in the Finite Twisting of an Incompressible Elastic Tube
,”
J. Elast.
,
11
, pp.
43
80
.
5.
Rajagopal
,
K. R.
, and
Wineman
,
A. S.
,
1985
, “
New Exact Solutions in Nonlinear Elasticity
,”
Int. J. Eng. Sci.
,
23
, No.
2
, pp.
217
234
.
6.
Antman
,
S. S.
, and
Heng
,
G. Z.
,
1984
, “
Large Shearing Oscillations of Incompressible Nonlinearly Elastic Bodies
,”
J. Elast.
,
14
, pp.
249
262
.
7.
Simmonds
,
J. G.
, and
Warne
,
P.
,
1992
, “
Azimuthal Shear of Compressible or Incompressible, Nonlinearly Elastic Polar Orthotropic Tubes of Infinite Extant
,”
Int. J. Non-Linear Mech.
,
27
, No.
3
, pp.
447
467
.
8.
Tao
,
L.
,
Rajagopal
,
K. R.
, and
Wineman
,
A. S.
,
1992
, “
Circular Shearing and Torsion of Generalized Neo-Hookean Materials
,”
IMA J. Appl. Math.
,
48
, pp.
23
37
.
9.
Polignone
,
D. A.
, and
Horgan
,
C. O.
,
1994
, “
Pure Azimuthal Shear of Compressible Nonlinearly Elastic Tubes
,”
Q. Appl. Math.
,
50
, pp.
113
131
.
10.
Wineman
,
A. S.
, and
Waldron
,
W. K.
, Jr.
,
1995
, “
Normal Stress Effects Induced During Circular Shear of a Compressible Nonlinear Elastic Cylinder
,”
Int. J. Non-Linear Mech.
,
30
, No.
3
, pp.
323
339
.
11.
Sensening
,
C. B.
,
1965
, “
Nonlinear Theory for the Deformation of Prestressed Circular Plates and Rings
,”
Commun. Pure Appl. Math.
,
XVIII
, pp.
147
161
.
12.
Spencer, A. J. M., 1984, Continuum Theory of the Mechanics of Fibre-Reinforced Composites, Springer-Verlag, New York.
13.
Cheref
,
M.
,
Zidi
,
M.
, and
Oddou
,
C.
,
1995
, “
Caracte´risation du Comportement Me´canique d’une Structure Structure Polyme´rique: Aide a` la Conception de Prothe`ses Vascularies
,”
Arch. Physiol. Biochem.
,
103
, p.
C63
C63
.
You do not currently have access to this content.