ProductsAbaqus/Standard ## ConventionsCoordinate 1 is r, coordinate 2 is z. The r-direction corresponds to the global X-direction in the $\theta ={0}^{\circ}$ plane and the global Y-direction in the $\theta ={90}^{\circ}$ plane, and the z-direction corresponds to the global Z-direction. Coordinate 1 should be greater than or equal to zero. Degree of freedom 1 is ${u}_{r}$, degree of freedom 2 is ${u}_{z}$, degree of freedom 6 is rotation in the r–z plane. Even though the symmetry in the r–z plane at $\theta =0,\pi $ allows the modeling of half of the initially axisymmetric structure, the loading must be specified as the total load on the full axisymmetric body. Consider, for example, a cylindrical shell loaded by a unit uniform axial force. To produce a unit load on a SAXA element with four modes, the nodal forces are 1/8, 1/4, 1/4, 1/4, and 1/8 at $\theta =0$, $\pi /4$, $\pi /2$, $3\pi /4$, and $\pi $, respectively. The meridional direction is the direction tangent to the element in the r–z plane; that is, the meridional direction is along the line that is rotated about the axis of symmetry to generate the full three-dimensional body. The circumferential or hoop direction is the direction normal to the r–z plane. |