G modeling ============== Characteristics of modeling ----------------------------------- * Tested behavior: PlasticityTh.MFront (which imports Plasticity_Sy.MFront). Von Mises' elasto-plastic law, comparable to VMIS_ISOT_LINE, with the effect of temperature. * Modeling similar to that of test HSNV100J. The elastic limit varies according to the temperature as follows: :math:`{\sigma }_{y}=400.0-4.0T;` * the other material properties are constant: :math:`E=200\mathit{GPa},\nu =\mathrm{0,3},{E}_{T}=50\mathit{GPa}` Tested sizes and results ------------------------------ The reference solution is analytical (cf. [:external:ref:`V7.22.100 `]): +-------------------------------------+-----------------------+-------------+ |**Variables** |**Moments** :math:`(s)`|**Reference**| +-------------------------------------+-----------------------+-------------+ |:math:`{\varepsilon }_{\mathrm{xx}}` |:math:`t=66.666` |8.6666 10—4 | + +-----------------------+-------------+ | |:math:`t=80` |1.1000 10—3 | + +-----------------------+-------------+ | |:math:`t=90` |1.2750 10—3 | +-------------------------------------+-----------------------+-------------+ |:math:`p` |:math:`t=66.666` |0 | + +-----------------------+-------------+ | |:math:`t=80` |3.0000 10—4 | + +-----------------------+-------------+ | |:math:`t=90` |5.2500 10—4 | +-------------------------------------+-----------------------+-------------+ |:math:`{\sigma }_{\mathrm{yy}}` (MPa)|:math:`t=66.666` |—133.333 | + +-----------------------+-------------+ | |:math:`t=80` |—100. | + +-----------------------+-------------+ | |:math:`t=90` |—75,000 | +-------------------------------------+-----------------------+-------------+