17.8.2 Two-dimensional structured meshing

A two-dimensional region can be meshed using the structured meshing technique if it has the following characteristics:

In general, structured meshing gives you the most control over the mesh that ABAQUS/CAE generates. If you are meshing a four-sided region with all quadrilateral elements, the total number of element edges around the boundary must be even. For three- and five-sided regions, the constraint equations are more complex. ABAQUS/CAE respects seed distribution wherever possible when generating a structured mesh. (Seed distribution describes the spacing of the seeds, not necessarily the number of seeds. For example, are the seeds evenly spaced along an edge or more concentrated at one end?) However, meshes must be compatible across regions, and ABAQUS/CAE may adjust the nodes of a mesh region that is adjacent to a region that was meshed using the free meshing technique. As a result, the element nodes may not match the seeds exactly.

When you mesh a four-sided region with structured quadrilateral-dominated elements, ABAQUS/CAE inserts a single triangle as shown in Figure 17–47. The resulting mesh matches the mesh seeding exactly.

Figure 17–47 ABAQUS/CAE inserts a single triangle into a four-sided region.

In contrast, when you mesh a three- or a five-sided region with structured quadrilateral-dominated elements, ABAQUS/CAE does not insert any triangles. The resulting mesh uses all quadrilateral elements; however, the resulting mesh may not match the mesh seeding exactly.

ABAQUS/CAE combines edges into a logical side automatically if the edges subtend a shallow angle. For example, each region in Figure 17–48 has five edges. However, since the top two edges in each region subtend a shallow angle, ABAQUS/CAE considers these two edges to be one logical side. Therefore, the mesh pattern for four-sided regions is applied to these regions.

Figure 17–48 Edges subtending shallow angles.

You can use the Redefine Region Corners button in the Mesh Controls dialog box to combine edges yourself, regardless of the angle they subtend. (To display the Mesh Controls dialog box, select MeshControls from the main menu bar.) This technique allows you to control which structured mesh pattern is applied to the two-dimensional region. (This technique is not available for three-dimensional regions.) For more information, see Redefining region corners, Section 17.15.4.

The region that you plan to mesh with structured quadrilateral elements must be well shaped; otherwise, ABAQUS/CAE may create invalid elements as shown in Figure 17–49.

Figure 17–49 Regions must be well shaped.

If the mesh contains invalid elements, you can use several techniques to correct the mesh:
The result of applying each technique is illustrated in Figure 17–50.

Figure 17–50 Correcting a mesh that contains invalid elements.