7.1 Power Law

The Power Law model cannot be combined with a user-specified starting time [Vol. Analysis Procedures].

    (syntax)

POWER

specifies viscoelasticity with the Power Law model [§19.2.2].

$$\tau {\frac{{1}}{{E(\tau)}}} \left(\vphantom{ 1 + \alpha \: \tau^{-d} ( t - \tau )^{p} }\right. \alpha \tau^{{-d}}_{} \tau \left.\vphantom{ 1 + \alpha \: \tau^{-d} ( t - \tau )^{p} }\right)$$ (7.1)

Parameter p is the power p (p > 0 )of the creep function part that depends on the loading time t - $\tau$ . Parameter td is the development point t_d of the Taylor series approximation of the Power Law (dimension `time'). Best results are obtained if t_d is halfway the time interval. Parameter alpha is the creep coefficient $\alpha$ . Parameter d is the power d of the part of the creep function that depends on the loading time. E($\tau$) is the specified Young's modulus or the stiffness specified in §7.1.1.

    (file.dat)

'MATERI'
  1  YOUNG  2.E+4
     POISON 0.0
     POWER  0.3  84.0  3.0  0.35