C modeling
==============


Characteristics of modeling
-----------------------------------


* Tested behavior: Burgerageiing.mfront. Burger concrete creep law with aging (cf. [:ref:`R7.01.35 <R7.01.35>`]).


* Modeling: creep test on an element (material point). Comparison to Kommendant tests for two clean creep tests:


* concrete filled at 28 days, with a temperature of 20°C,


* concrete filled at 90 days, with a temperature of 30°C,


* Material properties:

Concrete loaded after 28 days


.. csv-table::

    "YOUN ", "31000"
    "POISS ", "0.2"
    "K_RS", "1.956 E5"
    "ETA_RS ", "4,797 E10"
    "ETA_IS ", "1.57 E5"
    "K_RD", "5 E4"
    "ETA_RD ", "1 E10"
    "ETA_ID ", "1 E5"
    "Alpha", "1-2e-6"
    "Ea_R", "0"
    "Tref", "20"
    "ETA_FD ", "5,8e9"
    "Cini", "1"
    "Ea_R", "2100"


Concrete loaded at 90 days: only the Ea_R coefficient is modified because the reference temperature is different from the test temperature.

Reference:

*"Study of concrete properties for prestressed concrete reactor vessels" .* **Kommendant G.J., Polivka M., and Pirtz D., .** UCSESM 76-3, s.l.: General Atomic Company, Department of Civil Engineering, Department of Civil Engineering, University of California, Berkeley, 1976.)


Tested sizes and results
------------------------------

Concrete loaded at 28 days (creep deformation :math:`{\epsilon }_{\mathit{zz}}^{f}` is provided by the internal variable V30)


.. csv-table::

    "**Identification**", "**Increment**", "**Reference Value**", "**Tolerance**"
    ":math:`{\epsilon }_{\mathit{zz}}` ", "20"," :math:`3.300E-05` "," 5%"
    ":math:`{\epsilon }_{\mathit{zz}}^{f}` ", "20"," :math:`-1.563E-07` "," 5%"
    ":math:`{\epsilon }_{\mathit{zz}}^{f}` ", "27", "-2.87E-05"," 10%"
    ":math:`{\epsilon }_{\mathit{zz}}^{f}` ", "32", "-3.29E-05"," 5%"
    ":math:`{\epsilon }_{\mathit{zz}}^{f}` ", "45", "-3.93E-05"," 5%"
    ":math:`{\epsilon }_{\mathit{zz}}^{f}` ", "60", "-4.36E-05"," 5%"


The calculated and experimental curves are as follows:


.. image:: images/10000000000003ED000002834CFAD9DF795898EC.jpg
    :width: 5.3409in
    :height: 2.9945in


.. _RefImage_10000000000003ED000002834CFAD9DF795898EC.jpg:

Concrete loaded at 90 days (creep deformation :math:`{\epsilon }_{\mathit{zz}}^{f}` is provided by the internal variable V30)


.. csv-table::

    "**Identification**", "**Increment**", "**Reference Value**", "**Tolerance**"
    ":math:`{\epsilon }_{\mathit{zz}}` ", "20"," :math:`3.300E-05` "," 5%"
    ":math:`{\epsilon }_{\mathit{zz}}^{f}` ", "20", "-1.57E-07"," 5%"
    ":math:`{\epsilon }_{\mathit{zz}}^{f}` ", "25", "-2.65E-05"," 10%"
    ":math:`{\epsilon }_{\mathit{zz}}^{f}` ", "35", "-3.42E-05"," 5%"
    ":math:`{\epsilon }_{\mathit{zz}}^{f}` ", "45", "-3.94E-05"," 5%"
    ":math:`{\epsilon }_{\mathit{zz}}^{f}` ", "60", "-4.36E-05"," 5%"


The calculated and experimental curves are as follows:


.. image:: images/10000000000003ED0000028384B5F2C0EAA84129.jpg
    :width: 5.1398in
    :height: 3.2957in


.. _refImage_10000000000003 ED0000028384B5F2C0EAA84129 .jpg: