Hashin Criterion
The Hashin criterion gives conditions to distinguish between matrix or fiber failure by tension or compression.
The implementation1is:
- Fiber Tension
σ1>0
FTfiber=(σ1XT)2+(τ12S)2
- Fiber Compression
σ1<0
FCfiber=|σ1XC|
- Matrix Tension
σ2>0
FTmatrix=(σ2YT)2+(τ12S)2
- Matrix Compression
σ2<0
FCmatrix=(σ22S)2+(τ12S)2+[(σ22S)2−1]σ2YC
Syntax
HashinFT(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 specifying failure mode. Option can be Fiber or Matrix.
If opt_str is not passed, the resultant failure index is reported as:
Findex=max[Ffiber,Fmatrix]
1
Formula implemented in HyperView core are
reported.