2. Benchmark solution

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

For the B, C, G and H models, we check the non-regression of the code in relation to the position of the crack bottom.

For the A, D, E, F, I and J 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-set very close to zero.

Instant of propagation	Knot	Coordinate \({y}_{i}\)	Coordinate \({z}_{i}\)
3	N219 ROAD	3.14	9.00
	N1576 ROAD	2.57	8.70
	N1577 ROAD	2.86	8.70
	N2636 ROAD	2.57	9.30
	N2637 ROAD	2.86	9.30

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 \((\mathrm{1,}x,y)\).

These nodes are identified in the message file (\(\mathrm{.}\mathrm{mess}\)) of modeling B and the value of their level-sets in models A, D, E, F, F, I, and J is estimated.