Mesh control with plane elements
Plane elements were introduced and discussed in Chapter 5, Analyses of Axisymmetric Bodies, where it was emphasized that they represent a two-dimensional approximation of three-dimensional continuum structures. As you will recall from that chapter, we showcased the application of the element under the Plane analysis of axisymmetric bodies subsection. Here, we will highlight the benefit of using mesh control with plane elements for an analysis that centers around plane stress. As you will know, a plane stress problem involves "a state of stress in which the normal and shear stresses directed perpendicular to the plane are assumed to be zero" [2].
Figure 10.6 is indicative of a problem that can be solved with a collection of plane elements. We shall use the determination of the maximum normal stress that develops in the component upon loading to demonstrate the importance of mesh control and convergence study: