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Chapter 5: Mesh Nonlinear Adaptivity

Mesh nonlinear adaptivity is used to modify the mesh during solution, based on certain criteria either

to simulate some problem which otherwise cannot be simulated or to improve the accuracy of simulation results. Unlike rezoning, mesh nonlinear adaptivity is completely automatic, requiring no user input during solution. While only one of the nonlinear adaptivities, mesh nonlinear adaptivity is arguably the most powerful.

Mesh nonlinear adaptivity criteria are the rules used to determine whether the mesh needs to be modified and, if so, what parts of the mesh should be modified. The program offers contact-based, energy-based, and position-based criteria. You define how frequently the criteria should be checked.

When the defined criteria are met, mesh modification occurs by splitting the current elements into elements having a half-edge length. Some transition layers are created automatically to connect the refined regions to the unrefined regions. Some topology changes and morphing occur during 3-D tetrahedral element splitting to improve the quality of the new mesh; for 2-D meshes, only morphing is done after the element-splitting operation.

The following topics related to mesh nonlinear adaptivity are available:

5.1.Mesh Nonlinear Adaptivity Benefits, Limitations and Requirements

5.2.Understanding the Mesh Nonlinear Adaptivity Process

5.3.Mesh Nonlinear Adaptivity Criteria

5.4.How a New Mesh Is Generated

5.5.Convergence at Substeps with the New Mesh

5.6.Controlling Mesh Nonlinear Adaptivity

5.7.Postprocessing Mesh Nonlinear Adaptivity Results

5.8.Mesh Nonlinear Adaptivity Examples

For related information, see Rezoning.

5.1. Mesh Nonlinear Adaptivity Benefits, Limitations and Requirements

Mesh adaptivity through refinement can improve solution accuracy in general. It can help to capture local deformations in more detail, useful in applications such as rubber sealing for small cavities, diffuse or local necking, and local buckling. Without a sufficiently fine mesh, these phenomena are difficult to simulate, yet it is often infeasible to start with a very fine mesh.

Generally, mesh nonlinear adaptivity via splitting or refinement cannot repair a distorted mesh. In some cases, it can exacerbate mesh distortion by creating smaller elements. To reduce the effect, the program’s mesh nonlinear adaptivity capability uses built-in morphing and topology repair after splitting; even

so, mesh quality improvement is slight. Avoid splitting or refinement in highly distorted regions, therefore, as doing so may lead to convergence problems.

Mesh nonlinear adaptivity does not require restart files. (Issuing a RESCONTROL,,NONE command, however, is neither necessary nor allowed.) It supports analyses with NLGEOM,ON. Nonlinear adaptivity shares the remaining basic requirements and element support necessary for rezoning. For more informations, see Rezoning Requirements (p. 90).

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Two example problems highlight the benefits of mesh nonlinear adaptivity:

5.1.1.Rubber Seal Simulation

5.1.2.Crack Simulation

5.1.1. Rubber Seal Simulation

To demonstrate the benefits of mesh nonlinear adaptivity, consider a rubber seal simulation, with an initial geometry and mesh as shown in the following figure:

Figure 5.1: Rubber Seal with Coarse Mesh

Downward displacement is applied to the rigid surface on the top of the seal. The following figure shows the program output for the deformed seal:

Figure 5.2: Deformed Rubber Seal with Coarse Mesh

The shape of the deformed material in the gap is not realistic because the mesh is too coarse. To create a more accurate simulation, nonlinear adaptivity with position-based criteria is used to refine the mesh

 

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of the elements which will fill the gap. Two mesh refinements are performed automatically during the solution to create a more detailed mesh in the model. The following figure shows the first mesh refinement:

Figure 5.3: Rubber Seal Model with Initial Mesh Refinement

The following figure shows the second refinement of the part of the rubber seal model that will fill the gap:

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Figure 5.4: Rubber Seal Model with Second Mesh Refinement

When the full load is applied in the simulation, the program outputs the following deformed seal:

 

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