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Data Definitions

This section collects and defines all the data needed to build the instance models.

Minimum thickness

Refname	DD:minThick
Label	Minimum thickness
Symbol	$h$
Units	${\text{m}}$
Equation	$h=\frac{1}{1000}\,\begin{cases}2.16, & t=2.5\\2.59, & t=2.7\\2.92, & t=3.0\\3.78, & t=4.0\\4.57, & t=5.0\\5.56, & t=6.0\\7.42, & t=8.0\\9.02, & t=10.0\\11.91, & t=12.0\\15.09, & t=16.0\\18.26, & t=19.0\\21.44, & t=22.0\end{cases}$
Description	$h$ is the minimum thickness ( ${\text{m}}$ ) $t$ is the nominal thickness t is in ${2.5,2.7,3.0,4.0,5.0,6.0,8.0,10.0,12.0,16.0,19.0,22.0}$ ( ${\text{mm}}$ )
Notes	$t$ is a function that maps from the nominal thickness ( $h$ ) to the minimum thickness.
Source	astm2009
RefBy	IM:sdfTol, IM:riskFun, IM:nFL, and IM:dimlessLoad

Load duration factor

Refname	DD:loadDurFactor
Label	Load duration factor
Symbol	$\mathit{LDF}$
Units	Unitless
Equation	$\mathit{LDF}=\left(\frac{{t_{\text{d}}}}{60}\right)^{\frac{m}{16}}$
Description	$\mathit{LDF}$ is the load duration factor (Unitless) ${t_{\text{d}}}$ is the duration of load ( ${\text{s}}$ ) $m$ is the surface flaw parameter ( $\frac{\text{m}^{12}}{\text{N}^{7}}$ )
Notes	${t_{\text{d}}}$ and $m$ come from A:standardValues. $\mathit{LDF}$ is assumed to be constant (from A:ldfConstant).
Source	astm2009
RefBy	IM:sdfTol and IM:riskFun

Glass type factor

Refname	DD:gTF
Label	Glass type factor
Symbol	$\mathit{GTF}$
Units	Unitless
Equation	$\mathit{GTF}=\begin{cases}1, & g=\text{\(``\)AN’‘}\\4, & g=\text{\(``\)FT’‘}\\2, & g=\text{\(``\)HS’’}\end{cases}$
Description	$\mathit{GTF}$ is the glass type factor (Unitless) $g$ is the glass type (Unitless)
Notes	AN is annealed glass. FT is fully tempered glass. HS is heat strengthened glass.
Source	astm2009
RefBy	IM:calofCapacity and IM:dimlessLoad

Stand off distance

Refname	DD:standOffDist
Label	Stand off distance
Symbol	$\mathit{SD}$
Units	${\text{m}}$
Equation	$\mathit{SD}=\sqrt{{\mathit{SD}_{\text{x}}}^{2}+{\mathit{SD}_{\text{y}}}^{2}+{\mathit{SD}_{\text{z}}}^{2}}$
Description	$\mathit{SD}$ is the stand off distance ( ${\text{m}}$ ) ${\mathit{SD}_{\text{x}}}$ is the stand off distance ( $x$ -component) ( ${\text{m}}$ ) ${\mathit{SD}_{\text{y}}}$ is the stand off distance ( $y$ -component) ( ${\text{m}}$ ) ${\mathit{SD}_{\text{z}}}$ is the stand off distance ( $z$ -component) ( ${\text{m}}$ )
Source	astm2009
RefBy	DD:calofDemand

Aspect ratio

Refname	DD:aspectRatio
Label	Aspect ratio
Symbol	$\mathit{AR}$
Units	Unitless
Equation	$\mathit{AR}=\frac{a}{b}$
Description	$\mathit{AR}$ is the aspect ratio (Unitless) $a$ is the plate length (long dimension) ( ${\text{m}}$ ) $b$ is the plate width (short dimension) ( ${\text{m}}$ )
Notes	$a$ and $b$ are the dimensions of the plate, where ( $a\geq{}b$ ).
Source	astm2009
RefBy	IM:tolLoad and IM:stressDistFac

Equivalent TNT charge mass

Refname	DD:eqTNTW
Label	Equivalent TNT charge mass
Symbol	${w_{\mathit{TNT}}}$
Units	${\text{kg}}$
Equation	${w_{\mathit{TNT}}}=w\,\mathit{TNT}$
Description	${w_{\mathit{TNT}}}$ is the equivalent TNT charge mass ( ${\text{kg}}$ ) $w$ is the charge weight ( ${\text{kg}}$ ) $\mathit{TNT}$ is the TNT equivalent factor (Unitless)
Source	astm2009
RefBy	DD:calofDemand

Applied load (demand)

Refname	DD:calofDemand
Label	Applied load (demand)
Symbol	$q$
Units	${\text{Pa}}$
Equation	$q=\mathit{interpY}\left(\text{\(``\)TSD.txt’’},\mathit{SD},{w_{\mathit{TNT}}}\right)$
Description	$q$ is the applied load (demand) ( ${\text{Pa}}$ ) $\mathit{interpY}$ is the interpY (Unitless) $\mathit{SD}$ is the stand off distance ( ${\text{m}}$ ) ${w_{\mathit{TNT}}}$ is the equivalent TNT charge mass ( ${\text{kg}}$ )
Notes	$q$ , or applied load (demand), is the 3 second duration equivalent pressure obtained from Fig:demandVSsod by interpolation using stand off distance ( $\mathit{SD}$ ) and ${w_{\mathit{TNT}}}$ as parameters. ${w_{\mathit{TNT}}}$ is defined in DD:eqTNTW. $\mathit{SD}$ is the stand off distance as defined in DD:standOffDist.
Source	astm2009
RefBy	IM:isSafeLR and IM:dimlessLoad