Non-linear finite strip analysis of rectangular laminates under end shortening, using classical plate theory

The finite strip method is developed for predicting the geometrically non-linear response of rectangular composite laminates with simply supported ends when subjected to uniform end shortening in their plane. At the loaded ends lateral in-plane expansion may be allowed freely or may be prevented completely in different versions of the approach. The permitted laminate material properties are quite general, encompassing anisotropy and full coupling between in-plane and out-of-plane behaviour. The analysis is based on the use of the classical plate theory and the non-linearity is introduced in the strain-displacement equations in the manner of the von Karman assumptions. Three different types of finite strip are presented with either linear, quadratic or cubic interpolation of the membrane displacement components across a strip: in each case the bending displacement component varies cubically across a strip. Results are presented for isotropic plates and for unsymmetric cross-ply, angle-ply and arbitrary laminates.

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