# 4.14.5.2. CastFuse Material¶

uniaxialMaterial('Cast', matTag, n, bo, h, fy, E, L, b, Ro, cR1, cR2, a1=s2*Pp/Kp, a2=1.0, a3=a4*Pp/Kp, a4=1.0)

This command is used to construct a parallel material object made up of an arbitrary number of previously-constructed UniaxialMaterial objects.

 matTag (int) integer tag identifying material n (int) Number of yield fingers of the CSF-brace bo (float) Width of an individual yielding finger at its base of the CSF-brace h (float) Thickness of an individual yielding finger fy (float) Yield strength of the steel material of the yielding finger E (float) Modulus of elasticity of the steel material of the yielding finger L (float) Height of an individual yielding finger b (float) Strain hardening ratio Ro (float) Parameter that controls the Bauschinger effect. Recommended Values for \$Ro=between 10 to 30 cR1 (float) Parameter that controls the Bauschinger effect. Recommended Value cR1=0.925 cR2 (float) Parameter that controls the Bauschinger effect. Recommended Value cR2=0.150 a1 (float) isotropic hardening parameter, increase of compression yield envelope as proportion of yield strength after a plastic deformation of a2*(Pp/Kp) a2 (float) isotropic hardening parameter (see explanation under a1). (optional default = 1.0) a3 (float) isotropic hardening parameter, increase of tension yield envelope as proportion of yield strength after a plastic deformation of a4*(Pp/Kp) a4 (float) isotropic hardening parameter (see explanation under a3). (optional default = 1.0)

Gray et al. [1] showed that the monotonic backbone curve of a CSF-brace with known properties (n, bo, h, L, fy, E) after yielding can be expressed as a close-form solution that is given by, $$P = P_p/\cos(2d/L)$$, in which $$d$$ is the axial deformation of the brace at increment $$i$$ and $$P_p$$ is the yield strength of the CSF-brace and is given by the following expression

$$P_p = nb_oh^2f_y/4L$$

The elastic stiffness of the CSF-brace is given by,

$$K_p = nb_oEh^3f_y/6L^3$$