Controlling the singularity at the crack tip for a small-strain analysis

If the geometry of the crack region defines a sharp crack, the strain field becomes singular at the crack tip, as described in Constructing a fracture mechanics mesh for small-strain analysis with the conventional finite element method. Including the singularity in your model for a small-strain analysis improves the accuracy of the contour integral and the stress and strain calculations.

To include the singularity in your contour integral estimates, click the Singularity tab in the Crack editor and choose the desired position of the midside node and degenerate element control. For detailed instructions, see Controlling the singularity at the crack tip.

In addition, you must do the following in the Mesh module:

  • If the assembly or part is two-dimensional, you must model the crack front with a ring of triangles and assign quadrilateral elements to the remainder of the contour integral region.

  • If the assembly or part is three-dimensional, you must model the crack front with a ring of wedges and assign hexahedral elements to the remainder of the contour integral region.

When you mesh the crack front, Abaqus does the following:

  • Converts the elements in the crack front to collapsed quadrilateral or hexahedral elements.

  • If you modeled the crack front with a ring of second-order triangles or wedges, Abaqus moves the midside nodes to the specified position along the element edges that radiate out from the crack tip or crack line. (If you modeled the crack front with a ring of first-order triangles or wedges, Abaqus ignores the position that you specified for the midside nodes.)

A part instance that includes orphan mesh elements is always a dependent instance. As a result, you cannot adjust the midside nodes of these instances in the assembly. For more information, see What is the difference between editing an orphan mesh, a meshed part, and a meshed part instance in the assembly?. You must display the original orphan mesh and use the Edit Mesh toolset to adjust the position of the midsize nodes. For more information, see Adjusting the position of midside nodes. In addition, you cannot create collapsed elements from triangular and wedge elements of an orphan mesh.