Title page for ETD etd-08252008-162620
|Type of Document
||Engelstad, Stephen Philip
||Nonlinear probabilistic finite element modeling of composite shells
|Reddy, Junuthula N.
|Cramer, Mark S.
|Johnson, Eric R.
|Singh, Mahendra P.
|Date of Defense
A probabilistic finite element analysis procedure for laminated composite
shells has been developed. A total Lagrangian finite element formulation,
employing a degenerated 3-D laminated composite shell element with the full
Green-Lagrange strains and first-order shear deformable kinematics, forms the
modeling foundation. The first-order second-moment technique for
probabilistic finite element analysis of random fields is employed and results are
presented in the form of mean and variance of the structural response. The
effects of material nonlinearity are included through the use of a
rate-independent anisotropic plasticity formulation with the macroscopic point
of view. Both ply-level and micromechanics-level random variables can be
selected, the latter by means of the Aboudi micromechanics model. A number
of sample problems are solved to verify the accuracy of the procedures
developed and to quantify the variability of certain material type/structure
combinations. Experimental data is compared in many cases, and the Monte
Carlo simulation method is used to check the probabilistic results. In general,
the procedure is quite effective in modeling the mean and variance response of
the linear and nonlinear behavior of laminated composite shells.
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