1. Reference problem

1.1. Geometry

A domain of length \(l=\mathrm{6000mm}\), height \(h=\mathrm{1000mm}\) containing an initial vertical crack of length \(\mathrm{2a}\) is represented. By symmetry condition, only half of the domain () is modelled.

Illustration 1: Geometry of the test case

1.2. Material properties

Elasticity parameters:

Young’s modulus \({E}_{1}={20.10}^{9}\mathrm{MPa}\), Poisson’s ratio \({\nu }_{1}=\mathrm{0,25}\)

Law settings ENDO_HETEROGENE :

Elastic limit \({\sigma }_{y}={10}^{18}\mathrm{Pa}\)

Weibull module \(m=2\)

Tenacity \({K}_{c}=1000{\mathrm{MPa.m}}^{1/2}\)

Thickness of sample \(\mathrm{ep}=\mathrm{1m}\)

Seed \(\mathrm{GR}=121\)

Non-local model parameter:

Characteristic length \({l}_{c}=\mathrm{0,02}m\)

1.3. Boundary conditions and loading

Vertical movements on the lower edge of the model are blocked as well as horizontal movements on the left edge and a horizontal constraint is imposed on the right edge. The central crack is represented by a vertical band of broken finite elements (i.e., \(d=1\)).

The stress applied on the right edge varies from 0 to \(10\mathit{MPa}\) during the calculation period, i.e. \(1s\).

Figure 2: Diagram of boundary conditions