Yamada-Sun Criterion

For Yamada-Sun, two criteria are implemented:

Yamada-Sun (standard → unidirectional)

Where the ply failure is evaluated as below:

$F_{index} = \frac{σ_{1}^{2}}{X^{2}} + \frac{τ_{12}^{2}}{S^{2}}$ $F_{index} = \frac{σ_{1}^{2}}{X^{2}} + \frac{τ_{12}^{2}}{S^{2}}$

being $X = X_{T}$ $X = X_{T}$ or $X = X_{C}$ $X = X_{C}$ if $σ_{1} \geq 0$ $σ_{1} \geq 0$ or $σ_{1} < 0$ $σ_{1} < 0$ .

Syntax

YamandaSunFT(tensor,xt,xc,s,sets,plies,elems,parts,props,pool_name,layer_index,opt_str)

Arguments

tensor: Stress table
xt: Allowable tensile stress in ply material direction 1
xc: Allowable compressive stress in ply material direction 1
s: Allowable in-plane shear stress
sets: Set table (D=NULL)
plies: Ply table (D=NULL)
elems: Element table (D)
parts: Part table (D)
props: Property table (D)
pool_name: Pool name (D=@current_pool)
layer_index: Layer index (D=@current_slice_index)
opt_str: This is an optional argument, which can passed if needed (D=option).

Yamada-Sun 2D

Where the ply failure is evaluated as below:

$F_{index} = \max [\frac{σ_{1}^{2}}{X^{2}} + \frac{τ_{12}^{2}}{S^{2}}, \frac{σ_{2}^{2}}{Y^{2}} + \frac{τ_{12}^{2}}{S^{2}}]$ $F_{index} = \max [\frac{σ_{1}^{2}}{X^{2}} + \frac{τ_{12}^{2}}{S^{2}}, \frac{σ_{2}^{2}}{Y^{2}} + \frac{τ_{12}^{2}}{S^{2}}]$

being $X = X_{T}$ $X = X_{T}$ or $X = X_{C}$ $X = X_{C}$ if $σ_{1} \geq 0$ $σ_{1} \geq 0$ or $σ_{1} < 0$ $σ_{1} < 0$ and the same for $Y$ $Y$ .

Syntax

YamandaSun2DFT(tensor,xt,xc,yt,yc,s,sets,plies,elems,parts,props,pool_name,layer_index,opt_str)

Arguments

tensor: Stress table
xt: Allowable tensile stress in ply material direction 1
xc: Allowable compressive stress in ply material direction 1
yt: Allowable tensile stress in ply material direction 2
yc: Allowable compressive stress in ply material direction 2
s: Allowable in-plane shear stress
sets: Set table (D=NULL)
plies: Ply table (D=NULL)
elems: Element table (D)
parts: Part table (D)
props: Property table (D)
pool_name: Pool name (D=@current_pool)
layer_index: Layer index (D=@current_slice_index)
opt_str: This is an optional argument, which can passed if needed (D=option).