An orthotropic hygrothermal stress solution has been formulated for an infinitely long fiber-reinforced tube of any number of plies of any material, with arbitrary orientation of each of the plies. The solution allows the determination of stresses when the tube is subjected to changes in temperature and moisture content. In the formulation, a temperature gradient through the thickness has been taken into account such that the formulation can be applied when the temperature inside the tube is not the same as that outside. This set of equations, together with the prescribed boundary conditions, has been solved numerically. It is shown that the stresses induced due to moisture absorbed from the environment are significant.

1.
Hyer, M. W., and Rousseau, C. Q., “Thermally-Induced Stresses and Deformations in Angle-Ply Composite Tubes,” Journal of Composite Materials, Vol. 21, May, 1987.
2.
Whitney
J. M.
, and
Halpin
J. C.
, “
Analysis of Laminated Anisotropic Tubes under Combined Loading
,”
Journal of Composite Materials
, Vol.
2
, No.
3
,
1986
, pp.
360
364
.
3.
Pagano
N. J.
, and
Whitney
J. M.
, “
Geometry Design of Composite Cylindrical Characterization Specimens
,”
Journal of Composite Materials
, Vol.
4
,
1970
, pp.
360
378
.
4.
Rizzo
R. R.
, and
Vicario
A. A.
, “
Finite-Element Analysis of Laminated Anisotropic Tubes
,”
Journal of Composite Materials
, Vol.
4
,
1970
, pp.
344
349
.
5.
Pagano
N. J.
, “
Stress Gradients in Laminated Composite Cylinders
,”
Journal of Composite Materials
, Vol.
5
,
1971
, pp.
260
265
.
6.
Whitney
J. M.
, “
On the Use of Shell Theory for Determining Stresses in Composite Cylinders
,”
Journal of Composite Materials
, Vol.
5
,
1971
, pp.
340
353
.
7.
Whitney, J. M., Pagano, N. J., and Pipes, RM., “Design and Fabrication of Tubular Specimens for Composite Characterization,” Composite Materials: Testing And Design, ASTM STP 497, American Society for Testing and Materials, 1972, pp. 68–88.
8.
Rizzo, R. R., and Vicario, A. A., “Finite Element Analysis for Stress Distribution in Gripped Tubular Specimens,” Composite Materials: Testing and Design, ASTM STP 497, American Society for Testing and Materials, 1972, pp. 68–88.
9.
Pagano, N. J., “Pure Bending of Helical Wound Composite Cylinders,” Analysis and Test Methods for High Modulus Fibers and Composites, ASTM STP 521, American Society for Testing and Materials, 1973, pp. 255–263.
10.
Birger
B. I.
, “
Thermal Stresses in an Anisotropic Cylinder
,”
Izvestiya vuz, Aviatsionnaya Technika
, Vol.
14
, No.
2
,
1971
, p.
24
24
.
11.
Tauchert
T. R.
, and
Hsu
N. N.
, “
Shrinkage Stresses in Wood Logs Considered as Layerd, Cylindrical Orthotropic Material
,”
Wood Science Technology
, Vol.
11
,
1977
, pp.
51
58
.
12.
Tauchert, T. R. Thermal Stresses in Coal Conversion Pressure Vessels Built of Layered Construction in Thermal Stresses in a Severe Environment, D. P. H. Hasselman and Robert A. Heller, eds., Plenum Press, Ny, 1980, pp. 183–205.
13.
Hyer
M. W.
,
Cooper
D. E.
, and
Cohen
D.
, “
Stress and Deformations in Cross-Ply Tube Subjected to a Uniform Temperature Change
,”
Journal of Thermal Stress
, Vol.
9
,
1986
, pp.
97
117
.
14.
Bolotin
V. V.
, and
Bolotina
K. S.
, “
Thermoelastic Problem for a Circular Cylinder of Reinforced Multilayer Material
,” Translated from
Mekhanika Polymerov
, Vol.
3
, No.
1
, Nov.-Dec.
1967
, pp.
136
141
.
15.
Korotkov, V. N., Turusov, R. A., and Rosenberg, B. A., “Thermal Stresses in Cylinders Made of Composite Material during Cooling and Storing,” Translated from Mekhanika Kompopozitnykh Materialov, No. 2, 1983, pp. 290–295.
16.
Afanas’ev, Y. A., Ekel’chik, V. S., and Kostritskii, S. N., “Temperature Stresses in Thick Walled Orthotropic Cylinders of Reinforced Polymeric Materials on Nonuniform Cooling,” Translated from Mekhanika Kompozitnykh Materialov, No. 4, July-Aug. 1980, pp. 651–660.
17.
Bakharev, S. P., and Mirkin, M. A., “Temperature Stresses Developing During the Polymerization of Cylindrical Glass-Reinforced Plastic Shell,” Translated from Mekhanika Polimerov, Nov.-Dec. 1978, pp. 1118–1121.
18.
Hahn
H. T.
, “
Residual Stresses in Polymer Matrix Composite Laminates
,”
Journal of Composite Materials
, Vol.
10
,
1976
, p.
266
266
.
19.
Hahn
H. T.
, “
Warping of Unsymmetric Cross-Ply Graphite/Epoxy Laminates
,”
Composite Technical Rev.
, Vol.
13
,
1981
, p.
114
114
.
20.
Tsai, S. W., and Hahn, H. T., Introduction to Composite Materials, Technomic Publishing Company, Lancaster Pa., 1980.
21.
Kibler, K. G., “Time-Dependent Environmental Behavior of Graphite/Epoxy Composite,” AFWAL-TR-80–4052. May, 1980.
22.
Dogulas, D. A., and Weitsman, J., “Stresses due to Environmental Conditioning of Cross-Ply Graphite/Epoxy Laminates,” Advances on Composite Materials, Vol. 1, A. R. Bunsell et al., eds., 1980, p. 529.
23.
Crossman, F. W., Mauri, R. E., and Warren, W. J., “Moisture-Altered Viscoelastic Response of Graphite/Epoxy Composites,” Advanced Composite Materials-Environmental Effect, ASTM STP 658, J. R. Vinson, ed., 1978, p. 205.
24.
Christensen, R. M., Mechanics of Composite Material, Chapter V, Wiley, 1979.
25.
Ozisik, M. N., Heat Transfer, Chapters 2 and 3, McGraw-Hill, NY, 1985.
26.
Jones, R. M., Mechanics of Composite Materials, Chapter 2, McGraw-Hill, 1975.
27.
Reismann, H. and Pawlik, P. S., Elasticity, Theory and Applications, Wiley, New York, 1980.
28.
Halpin, J. C., and Tsai, S. W., “Effect of Environmental Factors on Composite Material,” AFML-TR67-423, June, 1968.
29.
Bonniau
P.
, and
Bunsell
A. R.
, “
A Comparative Study of Water Absorption Theories Applied to Glass Epoxy Composites
,”
Journal of Composite Materials
, Vol.
15
, May,
1981
, p.
272
272
.
30.
Hahn, H. T., “Swelling of Composite Laminate,” Advanced Composite Materials-Environmental Effects, ASTM STP 658, J. R. Vinson, ed., American Society for Testing and Materials, 1982, pp. 98–120.
31.
Loos
A. C.
, and
Springer
S.
, “
Moisture Absorption of Graphite-Bpoxy Composite Immersed in Liquids and in Humid Air
,”
Journal of Composite Materials
, Vol.
13
, Apr.,
1979
, p.
131
131
.
32.
Tsai, S. W., and Hahn, H. T., Introduction to Composite Materials, Technomic Publishing Company, 1980.
33.
Kim, B.S., and Lehnhoff, T. F., “Polymeric Composite Tube Mold Design and Hygrothermal Stress Analysis,” accepted for publication in the ASME JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY, 1995.
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