Elasticity solution for torsional rigidity of pretwisted composite strips

摘要

The tension-torsion problem for pretwisted antisymmetric laminated composite strips is formulated without ad hoc shell-type assumptions. No restrictions regarding the thickness-to-width aspect ratio are made. The elasticity equations are derived first and solved exactly for the torsional rigidity of orthotropic strips. An approximate solution is derived for angle-ply laminates. The torsional rigidity predictions are compared with a shell-type closed-form solution and finite-element simulations. An iterative method, which allows for the development of closed-form one-term approximations in a number of boundary-value problems, is presented. The accuracy of the method is illustrated by comparison with exact solutions for two benchmark problems.