Struct MaxwellModel 

pub struct MaxwellModel {
    pub elastic_modulus: f64,
    pub viscosity: f64,
}

Maxwell element (spring + dashpot in series) – new API.

Uses field names elastic_modulus and viscosity to distinguish from the legacy Maxwell struct.

Fields

elastic_modulus: f64

Young’s modulus E (Pa)

viscosity: f64

Dynamic viscosity eta (Pa*s)

Implementations

impl MaxwellModel

pub fn new(e: f64, eta: f64) -> Self

Create a new Maxwell model with elastic modulus e and viscosity eta.

pub fn relaxation_time(&self) -> f64

Relaxation time tau = eta / E.

pub fn relaxation_modulus(&self, t: f64) -> f64

Relaxation modulus E(t) = E * exp(-t / tau).

pub fn creep_compliance(&self, t: f64) -> f64

Creep compliance J(t) = 1/E + t/eta.

pub fn stress_update( &self, _epsilon: f64, epsilon_dot: f64, sigma_old: f64, dt: f64, ) -> f64

Stress update using exact integration of the Maxwell ODE.

Given old stress sigma_old, strain rate epsilon_dot, and time step dt:

sigma_new = sigma_old * exp(-dt/tau) + E * epsilon_dot * tau * (1 - exp(-dt/tau))

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

Storage modulus E’(omega) = E * (omegatau)^2 / (1 + (omegatau)^2).

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

Loss modulus E’’(omega) = E * omegatau / (1 + (omegatau)^2).

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

Loss tangent tan(delta) = E’’ / E’ = 1 / (omega * tau).

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

Complex modulus magnitude |E*| = sqrt(E’^2 + E’’^2).

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

Compute the dynamic (complex) modulus components (G’, G’’) for a Maxwell element.

For a single Maxwell element in shear:

G’(ω) = G · (ωτ)² / (1 + (ωτ)²) [storage / elastic part] G’’(ω) = G · ωτ / (1 + (ωτ)²) [loss / viscous part]

Arguments

• omega - Angular frequency ω [rad/s]

Returns

(G_prime, G_double_prime) — storage and loss moduli [Pa]

Trait Implementations

impl Clone for MaxwellModel

fn clone(&self) -> MaxwellModel

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for MaxwellModel

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

Formats the value using the given formatter.