3. Modeling A#
3.1. Characteristics of modeling#
The model consists of:
1008 elements,
675 knots,
of which:
72 Q4G NTS elements,
144 T3G elements,
84 elements DSQ,
84 elements DKQ,
312 elements DST,
312 DKT items.
The elements are squares whose length is equal to \(0.05m\).
Edges \(\mathrm{AB}\), \(\mathrm{BC}\), \(\mathrm{CD}\), and \(\mathrm{DA}\) are embedded.
The plate is subjected to a temperature gradient of \(100°C\) in thickness. This gradient is uniform across the plate.
3.2. Tested sizes and results#
\(\mathrm{Rx}\) = reaction according to \(\mathrm{Ox}\)
\(\mathrm{Ry}\) = reaction according to \(\mathrm{Oy}\)
Identification |
Reference Type |
Reference |
Tolerance |
\(\mathrm{N104}\) (on the \(\mathrm{AD}\) edge in the mesh part in DKT) |
“ANALYTIQUE” |
\(\mathit{DRx}\mathrm{=}71.4286\) \(\mathit{DRy}\mathrm{=}95.2381\) |
\(3.{10}^{\mathrm{-}5}\) |
\(\mathit{N260}\) (on the \(\mathrm{AD}\) edge in the mesh part in DSQ) |
“ANALYTIQUE” |
\(\mathit{DRx}\mathrm{=}71.4286\) \(\mathit{DRy}\mathrm{=}95.2381\) |
\(3.{10}^{\mathrm{-}5}\) |
\(\mathrm{N270}\) (on the \(\mathrm{AD}\) edge in the Q4G mesh part) |
“ANALYTIQUE” |
\(\mathit{DRx}\mathrm{=}71.4286\) \(\mathit{DRy}\mathrm{=}95.2381\) |
\(3.{10}^{\mathrm{-}5}\) |
\(\mathrm{N8}\) (on the \(\mathrm{AB}\) edge in the mesh part in DKT) |
“ANALYTIQUE” |
\(\mathit{DRx}\mathrm{=}95.2381\) \(\mathit{DRy}\mathrm{=}71.4286\) |
\(3.{10}^{\mathrm{-}5}\) |
\(\mathrm{N21}\) (on the \(\mathrm{AB}\) edge in the mesh part in DST) |
“ANALYTIQUE” |
\(\mathit{DRx}\mathrm{=}95.2381\) \(\mathit{DRy}\mathrm{=}71.4286\) |
\(3.{10}^{\mathrm{-}5}\) |
\(\mathrm{N102}\) (on the \(\mathrm{BC}\) edge in the mesh part in DST) |
“ANALYTIQUE” |
\(\mathit{DRx}\mathrm{=}71.4286\) \(\mathit{DRy}\mathrm{=}95.2381\) |
\(3.{10}^{\mathrm{-}5}\) |
\(\mathrm{N466}\) (on the \(\mathrm{BC}\) edge in the mesh part in DKQ) |
“ANALYTIQUE” |
\(\mathit{DRx}\mathrm{=}71.4286\) \(\mathit{DRy}\mathrm{=}95.2381\) |
\(3.{10}^{\mathrm{-}5}\) |
\(\mathit{N544}\) (on the \(\mathit{BC}\) edge in the T3G mesh part) |
“ANALYTIQUE” |
\(\mathit{DRx}\mathrm{=}71.4286\) \(\mathit{DRy}\mathrm{=}95.2381\) |
\(3.{10}^{\mathrm{-}5}\) |
\(\mathit{N477}\) (on the \(\mathit{CD}\) edge in the Q4G mesh part) |
“ANALYTIQUE” |
\(\mathrm{DRx}=71.4286\) \(\mathrm{DRy}=95.2381\) |
\(3.{10}^{\mathrm{-}5}\) |
\(\mathit{N666}\) (on the \(\mathit{CD}\) edge in the T3G mesh part) |
“ANALYTIQUE” |
\(\mathit{DRx}\mathrm{=}71.4286\) \(\mathrm{DRy}=95.2381\) |
\(3.{10}^{\mathrm{-}5}\) |
3.3. notes#
The nodes tested are roughly placed as follows:
