Capture the effects of fiber nonlinear elasticity.
*NONLINEAR FIBER, ETAC=Compressive Knockdown Factor GAMMA_1T, GAMMA_1C
ETAC and GAMMA_1C are mutually exclusive options.
For tensile loading, the following equation is used to approximate the nonlinear elastic stiffening of the fiber (and thus the composite):
Where:
is the original fiber modulus
is the nonlinear fiber parameter (GAMMA_1T)
is the axial fiber strain (assumed to be equal to the axial composite strain)
For compressive loading, a simple relationship is used to approximate the modulus softening if ETAC is specified:
Where:
is the original composite modulus
is the composite modulus knockdown factor (ETAC)
For compressive loading with GAMMA_1C specified, the following equation is used to approximate the nonlinear elastic stiffening of the fiber (and thus the composite):
Where:
is the original fiber modulus
is the nonlinear fiber parameter for compression (GAMMA_1C)
is the axial fiber strain (assumed to be equal tot he axial composite strain)
The fiber modulus is considered nonlinear until fiber failure occurs. Once fiber failure occurs, the composite stiffnesses will remain fixed because their influence is negligible and continuing to update the properties would be an inefficient use of computational resources.
As an example, consider the *NONLINEAR FIBER keyword definition shown below. Given these settings, the material 9002 will be assigned a nonlinear fiber parameter of 21.0 and a composite modulus knockdown factor of 0.75. The image below shows the stress-strain response of this material with the *NONLINEAR FIBER keyword active (nonlinear elastic) and inactive (linear elastic).
*MATERIAL, NAME=9002 *NONLINEAR FIBER, ETAC=0.75 21.0
For further information regarding the fiber nonlinearity features, refer to the Theory Manual.