Large displacement and rotational formulation for laminated shells including parabolic transverse shear

Abstract The paper presents an approach for a general laminated shell geometry describable by orthogonal curvilinear coordinates. The theory includes a through-the-thickness parabolic distribu- tion of transverse shear stress.-Additionally, a simplified approach that allows large displacements and rotations is incorporated. The theory is cast into a displacement-based finite element formula- tion and then specialized to a cylindrical shell geometry. The theory is then applied to the problem of a transversely loaded isotropic deep arch, and results show a slightly more flexible response compared with published results that are based upon inextensible assumptions. This problem also indicates that the usual locking associated with shell elements is apparently eliminated.

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