1. Reference problem#

1.1. Geometry#

Modeling A

\(E=1.0\mathrm{MPa}\)

\(\nu =0.3\)

\(k=1.0W/(\mathrm{m.}°C)\)

\({C}_{p}=0J/(°{\mathrm{C.m}}^{3})\)

B Modeling

\({E}_{L}=1.0\mathrm{MPa}\)

\({E}_{T}=0.9\mathrm{MPa}\)

\({E}_{N}=0.8\mathrm{MPa}\)

\({\nu }_{\text{LT}}=0.1\)

\({\nu }_{\text{LN}}=0.25\)

\({\nu }_{\mathrm{TN}}=0.3333333\)

\(k=1.0W/(\mathrm{m.}°C)\)

\({C}_{p}=0J/(°{\mathrm{C.m}}^{3})\)

Plan \(z=0\):	\(\mathrm{dz}=0\) \(\mathrm{dx}=0\), \(\mathrm{dy}=0\)	for membrane loading; for flexure loading


Maps \(y=0\), \(y=1\):	\(\mathrm{dy}=0\)
Maps \(x=0\), \(x=1\):	\(\mathrm{dx}=0\)
Bow: \(O\)	\(\mathrm{dz}=0\)	(for flexure loading only)
Loading:		\({z}_{0}=\mathrm{1m}\)

Axis: \(x=0\) Node: \(O\)

\(\mathrm{dx}=0\)

\(\mathrm{dy}=0\)

(these conditions do not correspond to the application of the homogenization method).

Loading: deformation

Plan \(x=0\)

\(\mathrm{temp}=0\)

(this condition does not correspond to the application of the homogenization method).

Loading: gradient

imposed uniform.