- 2017 Elsevier B.V. In the present study, a general higher-order one-dimensional model for large deformation analysis of 3-D solids is developed. The displacement vector of the cross-section or slices of a 3-D body are approximated in the reference frame using general basis functions in polar coordinates. Using the principle of virtual displacements, we obtain the governing equations of motion for large deformation. Further, we develop weak-form finite element model of the theory. The finite element model is used to obtain solutions for cylindrical shells under internal pressure and pinching point forces. The solution obtained for the cylindrical shell under internal pressure from this one-dimensional analysis have been compared with the solutions obtained with the 7-parameter shell theory of Reddy and his colleagues. The results are found to be in good agreement although a one-dimensional model is used.