Suppression of Brazier Effect in Multilayered Cylinders

Figure 3

Displacement of a circumferential line element of the length 𝑑ℓ̃_𝜃 to that of 𝑑ℓ̃^∗_𝜃. The centroidal circle 𝒞 of the cross-section, having the radius 𝑟 before deformation, is also depicted by a dotted curve. Through the displacement described by 𝑢 and 𝑣̃, the line element is elongated slightly in the 𝜃 direction and the normal to the centroidal curve rotates with an angle 𝛽.