2. Benchmark solution

2.1. Calculation method

No regression.

2.2. Reference quantities and results

The results of modeling B (mesh method) are taken as a reference.

For B and C models, we check the non-regression of the code with respect to the position of the crack bottom.

For the A, D, E and F models, we check that the nodes closest to the crack bottom trace on plane \((\mathrm{1,}y,z)\) at the last moment of propagation have their level-sets very close to zero.

Instant of propagation	Knot	Coordinate \({y}_{i}\)	Coordinate \({z}_{i}\)
3	\(\mathit{N926}\)	2.33	8.80
	\(\mathit{N1028}\)	2.33	9.00
	\(\mathit{N1130}\)	2.33	9.20

These nodes are those included in a capture radius equal to the largest edge of an element, centered on the trace of the crack bottom on plane \((\mathrm{1,}y,z)\).

These nodes are identified in the B modeling .mess and the value of their level-sets is estimated in the A, D, E, and F models.