Kulikov G.M., Plotnikova S.V.Assumed Stress-Strain Quadrilateral Plate Elements Based On Analytical and Numerical Integration // Scientific article. Journal "Transactions of the TSTU", vol. 12 , Tambov. TSTU publisher house , 2006. (pdf-file) Abstract: On the basis of the first-order solid plate theory, proposed in earlier authors’ articles, two assumed stress-strain ANS quadrilateral four-node solid plate elements are developed. This paper generalizes the conventional assumed stress solid plate/shell finite element formulation because transverse shear strains are distributed in the thickness direction according to the linear law. Both quadrilateral ANS solid plate elements developed are based on the unified technique that allows assessing their advantages and disadvantages. It is worth noting that element stiffness matrices of elaborated quadrilaterals including a displacement-based ANS quadrilateral four-node element have six zero eigenvalues as required for satisfaction of the general rigid-body motion representation.
