Polynomial (hyperelastic model)

The polynomial hyperelastic material model is a phenomenological model of rubber elasticity. In this model, the strain energy density function is of the form of a polynomial in the two invariants I 1 , I 2 {displaystyle I_{1},I_{2}} of the left Cauchy-Green deformation tensor. The polynomial hyperelastic material model is a phenomenological model of rubber elasticity. In this model, the strain energy density function is of the form of a polynomial in the two invariants I 1 , I 2 {displaystyle I_{1},I_{2}} of the left Cauchy-Green deformation tensor. The strain energy density function for the polynomial model is where C i j {displaystyle C_{ij}} are material constants and C 00 = 0 {displaystyle C_{00}=0} .