Struct SpringPot 

pub struct SpringPot {
    pub quasi_property: f64,
    pub alpha: f64,
}

Scott-Blair (springpot) element: intermediate between spring and dashpot.

The springpot constitutive law uses the fractional Caputo derivative:

σ(t) = C · D^α ε(t)

where α ∈ [0, 1] interpolates between a purely elastic spring (α=0) and a purely viscous dashpot (α=1).

For sinusoidal excitation ε = ε₀ exp(iωt) the complex modulus is:

E*(ω) = C · (iω)^α

giving storage and loss moduli:

E’(ω) = C ω^α cos(α π/2) E’’(ω) = C ω^α sin(α π/2)

Fields

quasi_property: f64

Quasi-property C (Pa·s^α).

alpha: f64

Fractional order α ∈ [0, 1].

Implementations

impl SpringPot

pub fn new(quasi_property: f64, alpha: f64) -> Self

Create a new Scott-Blair springpot.

Panics

Panics (debug only) if alpha is outside [0, 1].

pub fn storage_modulus(&self, omega: f64) -> f64

Storage modulus E’(ω) = C ω^α cos(απ/2).

pub fn loss_modulus(&self, omega: f64) -> f64

Loss modulus E’’(ω) = C ω^α sin(απ/2).

pub fn loss_tangent(&self) -> f64

Loss tangent tan δ = E’’ / E’ = tan(απ/2).

Note: independent of frequency — a hallmark of fractional models.

pub fn complex_modulus_magnitude(&self, omega: f64) -> f64

Complex modulus magnitude |E*(ω)| = C ω^α.

pub fn phase_angle(&self) -> f64

Phase angle δ = α π/2 (radians).

Trait Implementations

impl Clone for SpringPot

fn clone(&self) -> SpringPot

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for SpringPot

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.