conspire/constitutive/solid/elastic/saint_venant_kirchhoff/
mod.rs

1#[cfg(test)]
2mod test;
3
4use crate::{
5    constitutive::{
6        Constitutive, ConstitutiveError, Parameters,
7        solid::{Solid, TWO_THIRDS, elastic::Elastic},
8    },
9    math::{IDENTITY, Rank2},
10    mechanics::{CauchyStress, CauchyTangentStiffness, Deformation, DeformationGradient, Scalar},
11};
12
13#[doc = include_str!("doc.md")]
14#[derive(Debug)]
15pub struct SaintVenantKirchhoff<P> {
16    parameters: P,
17}
18
19impl<P> Constitutive<P> for SaintVenantKirchhoff<P>
20where
21    P: Parameters,
22{
23    fn new(parameters: P) -> Self {
24        Self { parameters }
25    }
26}
27
28impl<P> Solid for SaintVenantKirchhoff<P>
29where
30    P: Parameters,
31{
32    fn bulk_modulus(&self) -> &Scalar {
33        self.parameters.get(0)
34    }
35    fn shear_modulus(&self) -> &Scalar {
36        self.parameters.get(1)
37    }
38}
39
40impl<P> Elastic for SaintVenantKirchhoff<P>
41where
42    P: Parameters,
43{
44    #[doc = include_str!("cauchy_stress.md")]
45    fn cauchy_stress(
46        &self,
47        deformation_gradient: &DeformationGradient,
48    ) -> Result<CauchyStress, ConstitutiveError> {
49        let jacobian = self.jacobian(deformation_gradient)?;
50        let (deviatoric_strain, strain_trace) =
51            ((deformation_gradient.left_cauchy_green() - IDENTITY) * 0.5).deviatoric_and_trace();
52        Ok(deviatoric_strain * (2.0 * self.shear_modulus() / jacobian)
53            + IDENTITY * (self.bulk_modulus() * strain_trace / jacobian))
54    }
55    #[doc = include_str!("cauchy_tangent_stiffness.md")]
56    fn cauchy_tangent_stiffness(
57        &self,
58        deformation_gradient: &DeformationGradient,
59    ) -> Result<CauchyTangentStiffness, ConstitutiveError> {
60        let jacobian = self.jacobian(deformation_gradient)?;
61        let inverse_transpose_deformation_gradient = deformation_gradient.inverse_transpose();
62        let scaled_deformation_gradient = deformation_gradient * (self.shear_modulus() / jacobian);
63        let (deviatoric_strain, strain_trace) =
64            ((deformation_gradient.left_cauchy_green() - IDENTITY) * 0.5).deviatoric_and_trace();
65        Ok(
66            (CauchyTangentStiffness::dyad_il_jk(&scaled_deformation_gradient, &IDENTITY)
67                + CauchyTangentStiffness::dyad_ik_jl(&IDENTITY, &scaled_deformation_gradient))
68                + CauchyTangentStiffness::dyad_ij_kl(
69                    &IDENTITY,
70                    &(deformation_gradient
71                        * ((self.bulk_modulus() - self.shear_modulus() * TWO_THIRDS) / jacobian)),
72                )
73                - CauchyTangentStiffness::dyad_ij_kl(
74                    &(deviatoric_strain * (2.0 * self.shear_modulus() / jacobian)
75                        + IDENTITY * (self.bulk_modulus() * strain_trace / jacobian)),
76                    &inverse_transpose_deformation_gradient,
77                ),
78        )
79    }
80}
conspire/constitutive/solid/elastic/saint_venant_kirchhoff/mod.rs

conspire/constitutive/solid/elastic/saint_venant_kirchhoff/
mod.rs
