Nonlinear Probabilistic FEM for Composite Shells

by S. P. Engelstad, VPI, Blacksburg, United States,
J. N. Reddy, VPI, Blacksburg, United States,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond


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 an accurate modeling foundation. The first-order second-moment technique for probabilistic finite element analysis of random fields is employed and output is 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 material stiffnesses and micromechanics-level material stiffnesses can be selected as random fields, the latter by the use of a micromechanics model. Ply thicknesses and orientation angles are considered random, and the loading is deterministic. An example is given to quantify the effects of these random fields on the postbuckling analysis of a composite shell.

Subject Headings: Finite element method | Probability | Composite materials | Nonlinear analysis | Laminated materials | Composite structures | Shell structures | Three-dimensional models

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