3. Modeling A

3.1. Characteristics of modeling

2D elements” PLAN “

For reasons of symmetry, we only mesh a quarter of a square section and we refine to \(x=L\) and \(y=L\).

Cutting:	5 QUAD8 meshes along the \(x\) axis
	5 QUAD8 meshes along the \(y\) axis

Boundary conditions:	on \(x=0\) and \(y=0\)	\(\phi \mathrm{=}0\)
	on \(x=L\) and \(y=L\)	\(-\lambda \partial T/\partial n=h(T(x,y,t)-{T}_{\infty })\)

Gauss points:

\(A\):	mesh \(\mathit{m13}\) point 1
\(B\):	mesh \(\mathit{m19}\) point 1
\(C\):	mesh \(\mathit{m19}\) point 3

Bow:

\[\]

: label: EQ-None

O

3.2. Characteristics of the mesh

Number of knots:	96
Number of meshes and types:	25 QUAD8, 20 SEG3

3.3. notes

165 steps of calculation from \(0\) to \(\mathrm{410 }s\) (40 steps of \(\mathrm{5 }s\), then 40 steps of \(\mathrm{1 }s\), then 85 steps of \(\mathrm{2 }s\)).

3.4. Tested sizes and results

Option META_ELNO and DURT_ELNO:

Identification	Sizes	Reference	Aster	% difference
\(t\mathrm{=}\mathrm{30 }s\) \(\mathit{M13}\) (\(\mathit{PG1}\))	\(P\)	0.0489	0.0489	1.64 10—6 absolute
\(t\mathrm{=}\mathrm{140 }s\) \(\mathit{M13}\) (\(\mathit{PG1}\))	\(P\)	0.9505	0.9505	4.10 10—5 absolute
\(t\mathrm{=}\mathrm{300 }s\) \(\mathit{M13}\) (\(\mathit{PG1}\))	\(\mathit{TPG}\)	464.1	464.37	0.058
\(t\mathrm{=}\mathrm{300 }s\) \(\mathit{M19}\) (\(\mathit{PG1}\))	\(\mathit{TPG}\)	338.5	338.79	0.086
\(t\mathrm{=}\mathrm{300 }s\) \(\mathit{M19}\) (\(\mathit{PG3}\))	\(\mathit{TPG}\)	245.4	245.68	0.116
\(t\mathrm{=}\mathrm{410 }s\) \(\mathit{M13}\) (\(\mathit{PG1}\))	\(\mathit{ZB}\)		0.7828
\(t\mathrm{=}\mathrm{300 }s\) \(\mathit{M19}\) (\(\mathit{PG1}\))	\(\mathit{ZB}\)		0.5873
\(t\mathrm{=}\mathrm{300 }s\) \(\mathit{M19}\) (\(\mathit{PG3}\))	\(\mathit{ZB}\)		0.3113
\(t\mathrm{=}\mathrm{410 }s\) \(\mathit{M13}\) (\(\mathit{PG1}\))	\(\mathit{ZM}\)		0.2156
\(t\mathrm{=}\mathrm{410 }s\) \(\mathit{M19}\) (\(\mathit{PG1}\))	\(\mathit{ZM}\)		0.4103
\(t\mathrm{=}\mathrm{410 }s\) \(\mathit{M19}\) (\(\mathit{PG3}\))	\(\mathit{ZM}\)		0.6846
\(t\mathrm{=}\mathrm{30 }s\) \(\mathit{N1}\)	\(\mathit{HV}\)		223.643
\(t\mathrm{=}\mathrm{140 }s\) \(\mathit{N1}\)	\(\mathit{HV}\)		106.430
\(t\mathrm{=}\mathrm{300 }s\) \(\mathit{N1}\)	\(\mathit{HV}\)		100,000
\(t\mathrm{=}\mathrm{410 }s\) \(\mathit{N1}\)	\(\mathit{HV}\)		308.248

\(\mathit{TPG}\):	temperature at the point of GAUSS,
\(\mathit{ZB}\):	proportion of bainite,
\(\mathit{ZM}\):	martensite proportion,
\(P\):	austenite proportion.
\(\mathit{HV}\):	Vickers hardness