Time-dependent interlaminar stresses in elastic and viscoelastic laminated composites subjected to arbitrary combinations of axial extension, bending and/or twisting loads are obtained based on integral constitutive relations and Pipes and Pagano’s displacement field for laminates under a generalized plane deformation state. Numerical results obtained from the present formulation are compared against experimental data and excellent agreement within two percent was obtained between these results. Time-dependent interlaminar stresses for cross-ply and angle-ply laminates subjected to uniaxial extension, bending and twisting are also presented. Appreciable stress relaxation occurred during the loading period resulting in decreased magnitudes of residual stresses. It is seen that the rate of interlaminar shear stress relaxation is greater than the normal one, since the relaxation of shear moduli is larger than that of the normal moduli.

1.
Brewer
J. C.
, and
Lagacy
P. A.
,
1988
, “
Quadratic Stress Criterion for Initiation of Delamination
,”
Journal of Composite Materials
, Vol.
22
, pp.
1141
1155
.
2.
Crossman, F. W., Mauri, R. E. and Warren, W. J., 1978, “Moisture Altered Viscoelastic Response of Graphite/Epoxy Composite,” Advanced Composite Materials: Environmental Effects, ASTM STP 658, J. R. Vinson, ed., pp. 205–220. American Society for Testing and Materials.
3.
Hilton
H. H.
, and
Yi
S.
,
1993
, “
Stochastic Viscoelastic Delamination Onset Failure Analysis of Laminated Composites
,”
Journal of Composite Materials
, Vol.
27
, pp.
1097
1113
.
4.
Hilton
H. H.
,
1996
, “
On the Inadmissibility of Separation of Variables Solutions in Linear Anisotropic Viscoelasticity
,”
Mechanics of Composite Materials and Structures
, Vol.
3
, pp.
97
100
.
5.
Hilton, H. H., and Yi, S., 1997, “The Significance of (An)isotropic Viscoelastic Poisson Ratio Stress and Time Dependencies,” T. R. UILU-ENG 97-0503, University of Illinois UIUC. In press Proceedings ASC 12th Annual Technical Conference, Dearborn, MI.
6.
Hwang, I. H., 1990, “Thermo-viscoelastic Behavior of Composite Materials,” Ph. D. thesis, University of Washington, Seattle.
7.
Kassapoglou
C.
and
Lagace
P. A.
,
1986
, “
An Efficient Method for the Calculation of Interlaminar Stresses in Composite Materials
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
53
, pp.
744
750
.
8.
Kassapoglou
C.
, and
Lagace
P. A.
,
1987
, “
Closed Form Solutions for the Interlaminar Stress Fields in Angle-ply and Cross-ply Laminates
,”
Journal of Composite Materials
, Vol.
21
, pp.
292
308
.
9.
Kennedy
T. C.
, and
Wang
M.
,
1994
, “
Three-Dimensional Nonlinear Viscoelastic Analysis of Laminated Composites
,”
Journal of Composite Materials
, Vol.
28
, pp.
902
925
.
10.
Lekhnitskii, S. G., 1963, Theory of Elasticity of an Anisotropic Body, Holden-Day, San Francisco.
11.
Lin
K. Y.
, and
Yi
S.
,
1991
, “
Analysis of Interlaminar Stresses in Viscoelastic Composites
,”
International Journal of Solids and Structures
, Vol.
27
, pp.
929
945
.
12.
Lou
Y. C.
, and
Schapery
R. A.
,
1971
, “
Viscoelastic Characterization of a Nonlinear Fiber-Reinforced Plastic
,”
Journal of Composite Materials
, Vol.
5
, pp.
208
234
.
13.
Pipes
R. B.
, and
Pagano
N. J.
,
1970
, “
Interlaminar Stresses in Composite Laminates under Uniform Axial Extension
,”
Journal of Composite Materials
, Vol.
4
, pp.
538
548
.
14.
Rose
C. A.
, and
Herakovich
C. T.
,
1993
, “
An Approximate Solution for Interlaminar Stresses in Composite Laminates
,”
Composites Engineering
, Vol.
3
, pp.
271
285
.
15.
Tuttle
M. E.
, and
Brinson
H. F.
,
1986
, “
Prediction of the Long-Term Creep Compliance of General Composite Laminates
,”
Experimental Mechanics
, Vol.
26
, No.
1
, pp.
89
102
.
16.
Vinson, J. R., and Sierakowski, R. L., 1986, The Behavior of Structures Composed of Composite Materials, Martinus Nijhoff Publishers, Boston.
17.
Yi
S.
,
1993
, “
Thermoviscoelastic Analysis of Delamination Onset and Free Edge Response in Epoxy Matrix Composite Laminates
,”
AIAA Journal
, Vol.
31
, pp.
2320
2328
.
18.
Yi
S.
, and
Hilton
H. H.
,
1994
, “
Dynamic Finite Element Analysis of Viscoelastic Composite Plates in the Time Domain
,”
International Journal for Numerical Methods in Engineering
, Vol.
37
, pp.
4081
4096
.
19.
Yi
S.
,
Hilton
H. H.
, and
Ahmad
M. F.
,
1996
, “
Nonlinear Thermo-Viscoelastic Analysis of Interlaminar Stresses in Laminated Composites
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
63
, pp.
218
224
.
20.
Yin
W. L.
,
1994
a, “
Free-Edge Effects in Anisotropic Laminated under Extension, Bending, and Twisting, Part 1: A Stress-Function-Based Variational Approach
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
61
, pp.
410
415
.
21.
Yin
W. L.
,
1994
b, “
Free-Edge Effects in Anisotropic Laminated under Extension, Bending, and Twisting, Part 2: Eigenfunction Analysis and Results for Symmetric Laminates
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
61
, pp.
416
421
.
This content is only available via PDF.
You do not currently have access to this content.