conspire 0.6.0

The Rust interface to conspire.
Documentation 
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#[cfg(test)]
mod test;

use crate::{
    constitutive::{
        ConstitutiveError,
        solid::{Solid, TWO_THIRDS, elastic::Elastic, hyperelastic::Hyperelastic},
    },
    math::{IDENTITY_00, Rank2},
    mechanics::{
        Deformation, DeformationGradient, Scalar, SecondPiolaKirchhoffStress,
        SecondPiolaKirchhoffTangentStiffness,
    },
};

#[doc = include_str!("doc.md")]
#[derive(Clone, Debug)]
pub struct SaintVenantKirchhoff {
    /// The bulk modulus $`\kappa`$.
    pub bulk_modulus: Scalar,
    /// The shear modulus $`\mu`$.
    pub shear_modulus: Scalar,
}

impl Solid for SaintVenantKirchhoff {
    fn bulk_modulus(&self) -> Scalar {
        self.bulk_modulus
    }
    fn shear_modulus(&self) -> Scalar {
        self.shear_modulus
    }
}

impl Elastic for SaintVenantKirchhoff {
    #[doc = include_str!("second_piola_kirchhoff_stress.md")]
    fn second_piola_kirchhoff_stress(
        &self,
        deformation_gradient: &DeformationGradient,
    ) -> Result<SecondPiolaKirchhoffStress, ConstitutiveError> {
        let _jacobian = self.jacobian(deformation_gradient)?;
        let (deviatoric_strain, strain_trace) =
            ((deformation_gradient.right_cauchy_green() - IDENTITY_00) * 0.5)
                .deviatoric_and_trace();
        Ok(deviatoric_strain * (2.0 * self.shear_modulus())
            + IDENTITY_00 * (self.bulk_modulus() * strain_trace))
    }
    #[doc = include_str!("second_piola_kirchhoff_tangent_stiffness.md")]
    fn second_piola_kirchhoff_tangent_stiffness(
        &self,
        deformation_gradient: &DeformationGradient,
    ) -> Result<SecondPiolaKirchhoffTangentStiffness, ConstitutiveError> {
        let _jacobian = self.jacobian(deformation_gradient)?;
        let scaled_deformation_gradient_transpose =
            deformation_gradient.transpose() * self.shear_modulus();
        Ok(SecondPiolaKirchhoffTangentStiffness::dyad_ik_jl(
            &scaled_deformation_gradient_transpose,
            &IDENTITY_00,
        ) + SecondPiolaKirchhoffTangentStiffness::dyad_il_jk(
            &IDENTITY_00,
            &scaled_deformation_gradient_transpose,
        ) + SecondPiolaKirchhoffTangentStiffness::dyad_ij_kl(
            &(IDENTITY_00 * (self.bulk_modulus() - TWO_THIRDS * self.shear_modulus())),
            deformation_gradient,
        ))
    }
}

impl Hyperelastic for SaintVenantKirchhoff {
    #[doc = include_str!("helmholtz_free_energy_density.md")]
    fn helmholtz_free_energy_density(
        &self,
        deformation_gradient: &DeformationGradient,
    ) -> Result<Scalar, ConstitutiveError> {
        let _jacobian = self.jacobian(deformation_gradient)?;
        let strain = (deformation_gradient.right_cauchy_green() - IDENTITY_00) * 0.5;
        Ok(self.shear_modulus() * strain.squared_trace()
            + 0.5
                * (self.bulk_modulus() - TWO_THIRDS * self.shear_modulus())
                * strain.trace().powi(2))
    }
}