Huddleston effective stress¶

Overview¶

The effective stress is that of Huddleston [H1985], defined as

$\sigma_e = \sigma_{vm} \exp \left( -b \left( \frac{I_1}{S_s} - 1\right) \right)$

with

$\sigma_{vm} = \sqrt{\frac{\left(\sigma_1 - \sigma_2\right)^{2} + \left(\sigma_2 - \sigma_3\right)^{2} + \left(\sigma_3 - \sigma_1\right)^{2}}{2}}$

the von Mises stress,

$I_1 = \sigma_1 + \sigma_2 + \sigma_3$

the first stress invariant and

$S_s = \sqrt{\sigma_{1}^{2} + \sigma_{2}^{2} + \sigma_{3}^{2}}$

all in terms of the maximum principal stresses $\sigma_1$ , $\sigma_2$ , and $\sigma_3$ .

Parameter	Object type	Description	Default
`b`	`double`	Huddleston parameter	No

class HuddlestonEffectiveStress : public neml::EffectiveStress ¶

Huddleston stress.

Public Functions

Public Static Functions

static std::unique_ptr<NEMLObject> initialize(ParameterSet &params)¶: Initialize from a parameter set.