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Thermoviscoelastic Analysis of Composite Structures Using a Triangular Flat Shell Element

Authors :
Daniel C. Hammerand
Rakesh K. Kapania
Source :
AIAA Journal. 37:238-247
Publication Year :
1999
Publisher :
American Institute of Aeronautics and Astronautics (AIAA), 1999.

Abstract

To accurately model the structural response of e ber-reinforced polymer-matrix composites, it is necessary to account for viscoelastic behavior of the polymer matrix. Therefore, the geometrically linear dynamic analysis capability of a recently developed triangular e at shell element for elastic composite structures is extended here to include thermoviscoelasticity. The e at shell element is the combination of the discrete Kirchhoff theory plate bending element and a membrane element similar to the Allman triangle, but derived by transforming the linear strain triangle element. Linear viscoelastic composite materials are modeled, resulting in the relaxation moduli being expressed as Prony series. Hygrothermorheologically simple materials are considered for which a change in the hygrothermal environment results in a horizontal shifting of the relaxation moduli curves on a log timescale, in addition to the usual hygrothermal loads. The resulting hereditary integral terms are evaluated using a recursion relationship requiring only the previous two solutions. The Newmark method is used to incorporate the inertia terms. Numerical examples are presented to demonstrate the accuracy of the present formulation when compared with correspondence principle solutions and results available in the literature.

Details

ISSN :
1533385X and 00011452
Volume :
37
Database :
OpenAIRE
Journal :
AIAA Journal
Accession number :
edsair.doi.dedup.....5044a7e092ed4aa4ec2317da2e995541
Full Text :
https://doi.org/10.2514/2.696