Transient large strain analysis of plane and axisymmetric structures by means of biquadratic finite elements

Abstract

A finite element procedure is presented for refined transient analysis of two‐dimensional (plane or axisymmetric) non‐linear structures involving arbitrarily large displacements, rotations and strains. The finite element model is based on the biquadratic nine‐node element of the Lagrange family. The relevant points pertaining to the equations of motion and their integration and to the spatial description, including geometrical and material non‐linearities, are considered. In particular, stress and strain rates are discussed. Finally, significant numerical applications show the effectiveness of the proposed method.

Citation

Halleux, J.P. and Casadei, F. (1984), "Transient large strain analysis of plane and axisymmetric structures by means of biquadratic finite elements", Engineering Computations, Vol. 1 No. 4, pp. 351-358. https://doi.org/10.1108/eb023591