2. G modeling#
2.1. Characteristics of modeling#
Tested behavior: DruckerPrager.mfront. Associated elasto-plastic law of Drucker-Prager [cf. R7.01.16], the criterion being defined by: \(F(\sigma )={\sigma }_{\mathit{eq}}+a\mathit{tr}(\sigma )/3–k\le 0\)
The coefficients a and k are defined on the basis of the material properties in the following way:
\(a=-3\frac{\tau –1}{\tau +1}\) and \(k=2\frac{{\sigma }_{c}\tau }{\tau +1}\)
The modeling is equivalent to that of an Mfront mtest file (hardware point):
a material point is subject to an imposed deformation \({\epsilon }_{\mathit{xx}}=5{10}^{-3}t\)
the material properties are: \(E=200\mathit{GPa},\nu =\mathrm{0,3},\tau =0.6,{\sigma }_{c}=150\mathit{MPa}\),
2.2. Tested sizes and results#
The reference solution is that of the Mfront reference tests:
Identification (t=1) |
Reference |
Tolerance |
\({\sigma }_{\mathit{xx}}(\mathit{MPa})\) |
90 |
|