PolyElastic1D

Polynomial Based Uniaxial Nonlinear Elastic

Syntax

material PolyElastic1D (1) [(2)...]
# (1) int, unique material tag
# (2) double, polynomial parameters, a_n

Theory

The stress response is defined as a polynomial function of strain on the positive strain ($\varepsilon>0$).

$$\sigma=a_1\varepsilon+a_2\varepsilon^2+a_3\varepsilon^3\cdots$$

The response is always an odd function so that

$$\sigma\left(\varepsilon\right)=-\sigma\left(-\varepsilon\right)$$

For example, if one wants to define

$$\sigma=4\varepsilon+6\varepsilon^2+2\varepsilon^3,$$

the following command shall be used.

material PolyElastic1D 1 4. 6. 2.

Please note density is not supported in this model.