Nonlinear viscoelastic analysis of composite plates and shells

Abstract A finite element analysis is developed for treating nonlinear viscoelastic response of laminated composites. The analysis uses an eight-node layered shell element. The transient creep compliance in the viscoelastic model is represented as an exponential series plus a steady-flow term. This allows for a simplification of the numerical procedure for handling hereditary effects. Calculations are performed to study the time-dependent redistribution of stress in a flat plate under uniform pressure, a spherical cap under a point load, and a cylindrical shell pinched between two concentrated forces.

[1]  David A. Dillard,et al.  The nonlinear viscoelastic characterization of graphite/epoxy composites , 1987 .

[2]  O. C. Zienkiewicz,et al.  Analysis of thick and thin shell structures by curved finite elements , 1970 .

[3]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[4]  Kuen Y. Lin,et al.  Analysis of interlaminar stresses in viscoelastic composites , 1991 .

[5]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[6]  M. Tuttle,et al.  Prediction of the long-term creep compliance of general composite laminates , 1986 .

[7]  J. N. Reddy,et al.  A finite element analysis of adhesively bonded composite joints with moisture diffusion and delayed failure , 1988 .

[8]  Richard Schapery.  On the characterization of nonlinear viscoelastic materials , 1969 .

[9]  Kuen Y. Lin,et al.  Thermo-Viscoelastic Analysis of Composite Materials , 1989 .

[10]  J. N. Reddy,et al.  Exact Solutions of Moderately Thick Laminated Shells , 1984 .

[11]  G. Springer,et al.  Time Dependent Behavior of Laminated Composites at Elevated Temperatures , 1989 .

[12]  J. N. Reddy,et al.  Finite-element models of viscoelasticity and diffusion in adhesively bonded joints , 1988 .

[13]  M. Henriksen,et al.  Nonlinear viscoelastic stress analysis—a finite element approach , 1984 .

[14]  Richard Schapery,et al.  Viscoelastic Characterization of a Nonlinear Fiber-Reinforced Plastic , 1971 .

[15]  M. Wang,et al.  Three-Dimensional, Nonlinear Viscoelastic Analysis of Laminated Composites , 1994 .