Legacy · Mechanical validation · §8.3.5

Free slab under hydration

Thickness $L=1.5\,\mathrm{m}$ ; $T(y,t)$ by finite differences (non-separable). Plane sections with null force and moment resultants — distinct from the restrained slab. §8.3.5.

Article: Part I · DOI 10.70271/rirc.v1n2a007

Material: Itumbiara

Reference figure

Data sheet

Item	Value
Thickness	$L=1.5\,\mathrm{m}$
Thermal field	Finite differences — decreasing adiabatic generation, convection on both faces
Mechanical boundary	Free slab (null force and moment at each step)
Diffusivity	$h^{2}=0.10\,\mathrm{m}^{2}/\mathrm{d}$
Adiabatic rise	$\Delta T_{\mathrm{adi}}=T_{\mathrm{ad}}=30\,^{\circ}\mathrm{C}$
Characteristic generation time	$\tau_{\mathrm{hyd}}=1.5\,\mathrm{d}$
Face convection	$h_c=12\,\mathrm{W/(m^{2}\cdot K)}$ (equiv.)
Conductivity (FD)	$k=2.6\,\mathrm{W/(m\cdot K)}$ (equiv.)
$T_{\mathrm{amb}}=T_{\mathrm{cast}}$	$25\,^{\circ}\mathrm{C}$
Material	Itumbiara; $\nu=0.20$ ; $\alpha_{T}=10\times10^{-6}\,^{\circ}\mathrm{C}^{-1}$

Thermal parameters also in ref_laje_livre_params.csv ( $T$ mesh in ref_laje_livre_T.csv).

Input files

Output files

File	Content
ref_laje_livre_sigma.csv	$\sigma(y,t)$ : incremental, superposition $R(t,t_k)$ and elastic
ref_laje_livre_cortes.csv	Surface and core vs $t$ ( $T$ and $\sigma$ )
ref_laje_livre_pontos_controle.csv	Thermal peak, max. $\sigma$ , force/moment resultants

Code: slab_temperature, free_slab_stress, free_slab_stress_superposition (package).