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LiangRogersModel

oxiphysics_materials::shape_memory_alloy

Struct LiangRogersModel 

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pub struct LiangRogersModel {
    pub temps: TransformationTemperatures,
    pub a_m: f64,
    pub b_m: f64,
    pub a_a: f64,
    pub b_a: f64,
    pub h_max: f64,
    pub e_a: f64,
    pub e_m: f64,
    pub theta: f64,
}
Expand description

Liang-Rogers cosine kinetics model for SMA phase transformation.

The martensite fraction evolves as:

  • Forward (A→M): ξ = (1 − ξ_0)/2 · cos[a_M(T − Mf) + b_M σ] + (1 + ξ_0)/2
  • Reverse (M→A): ξ = ξ_0/2 · {cos[a_A(T − As) + b_A σ] + 1}

where a_M = π/(Ms − Mf), a_A = π/(Af − As).

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§temps: TransformationTemperatures

Transformation temperatures.

§a_m: f64

Cosine coefficient for martensitic transformation.

§b_m: f64

Stress shift for martensitic transformation.

§a_a: f64

Cosine coefficient for austenitic transformation.

§b_a: f64

Stress shift for austenitic transformation.

§h_max: f64

Maximum transformation strain.

§e_a: f64

Austenite elastic modulus (Pa).

§e_m: f64

Martensite elastic modulus (Pa).

§theta: f64

Thermoelastic tensor (Pa / K).

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impl LiangRogersModel

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pub fn new( temps: TransformationTemperatures, cm: f64, ca: f64, h_max: f64, e_a: f64, e_m: f64, theta: f64, ) -> Self

Create a Liang-Rogers model.

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pub fn forward_fraction(&self, temp: f64, stress: f64, xi_prev: f64) -> f64

Forward transformation fraction (A→M) given previous ξ₀.

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pub fn reverse_fraction(&self, temp: f64, stress: f64, xi_prev: f64) -> f64

Reverse transformation fraction (M→A) given previous ξ₀.

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pub fn phase_fraction(&self, temp: f64, stress: f64, xi_prev: f64) -> f64

Determine the phase fraction for a given (T, σ) state.

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pub fn effective_modulus(&self, xi: f64) -> f64

Effective elastic modulus at martensite fraction ξ.

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pub fn stress_response( &self, strain: f64, temp: f64, xi: f64, temp_ref: f64, ) -> f64

Constitutive stress from the Liang-Rogers framework.

Trait Implementations§

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impl Clone for LiangRogersModel

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fn clone(&self) -> LiangRogersModel

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more
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impl Debug for LiangRogersModel

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

Formats the value using the given formatter. Read more

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impl<T> Any for T
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fn type_id(&self) -> TypeId

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impl<T> Borrow<T> for T
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fn borrow(&self) -> &T

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impl<T> BorrowMut<T> for T
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fn borrow_mut(&mut self) -> &mut T

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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

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impl<T, U> Into<U> for T
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fn into(self) -> U

Calls U::from(self).

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type Owned = T

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type Error = Infallible

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