7. Modeling E#

7.1. Characteristics of modeling#

QUAD4 - Axisymmetric.

Testing the variation of the coefficients of VMIS_CINE_LINE as a function of temperature, in this case \({E}_{T}\) (given by D_ SIGM_EPSI) varies as: \({E}_{T}={10}^{5}(1–{10}^{-2}(T–{T}_{0}))\). The Prager constant is equal to: \(C=\frac{2}{3}\frac{E{E}_{T}}{E-{E}_{T}}\)

_images/1000020000000176000001AB65655726BCBC4D18.png

7.2. Characteristics of the mesh#

Number of knots: 4

Number of meshes and types: 1 QUAD4, 4 SEG2

7.3. note#

The variation of \({E}_{T}\) (D_ SIGM_EPSI) with the temperature is tested by comparison with the behavior VMIS_ECMI_TRAC where \(C\) (Prager constant) varies with the temperature in a similar manner (no analytical solution).

7.4. Tested sizes and results#

Variables

Moments \((s)\)

Reference ( Aster **) ** ( VMIS_ECMI_TRAC )

\({\varepsilon }_{\mathrm{rr}}={\varepsilon }_{\theta \theta }\)

\(t=66.666\)

8.6666 10—4

\(t=80\)

1.112 10—3

\(t=90\)

1.303 10—3

\({\sigma }_{\mathrm{zz}}\) \((\mathrm{MPa})\)

\(t=66.666\)

—133.333

\(t=80\)

—88

\(t=90\)

—47

7.5. note#

The same results are obtained with behavior VMIS_CINE_LINE as with behavior VMIS_ECMI_TRAC, which validates the consideration of temperature in this model.