conspire 0.6.0

The Rust interface to conspire.
Documentation 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175

use crate::{
    constitutive::solid::elastic_viscoplastic::ElasticViscoplastic,
    fem::block::element::{
        Element, ElementNodalCoordinates, FiniteElement, FiniteElementError,
        solid::{
            ElementNodalForcesSolid, ElementNodalStiffnessesSolid, SolidFiniteElement,
            viscoplastic::ViscoplasticStateVariables,
        },
    },
    math::{ContractSecondFourthIndicesWithFirstIndicesOf, Tensor},
    mechanics::{FirstPiolaKirchhoffStressList, FirstPiolaKirchhoffTangentStiffnessList},
};

pub trait ElasticViscoplasticFiniteElement<
    C,
    const G: usize,
    const M: usize,
    const N: usize,
    const P: usize,
    Y,
> where
    C: ElasticViscoplastic<Y>,
    Self: SolidFiniteElement<G, M, N, P>,
    Y: Tensor,
{
    fn nodal_forces(
        &self,
        constitutive_model: &C,
        nodal_coordinates: &ElementNodalCoordinates<N>,
        state_variables: &ViscoplasticStateVariables<G, Y>,
    ) -> Result<ElementNodalForcesSolid<N>, FiniteElementError>;
    fn nodal_stiffnesses(
        &self,
        constitutive_model: &C,
        nodal_coordinates: &ElementNodalCoordinates<N>,
        state_variables: &ViscoplasticStateVariables<G, Y>,
    ) -> Result<ElementNodalStiffnessesSolid<N>, FiniteElementError>;
    fn state_variables_evolution(
        &self,
        constitutive_model: &C,
        nodal_coordinates: &ElementNodalCoordinates<N>,
        state_variables: &ViscoplasticStateVariables<G, Y>,
    ) -> Result<ViscoplasticStateVariables<G, Y>, FiniteElementError>;
}

impl<C, const G: usize, const N: usize, const O: usize, const P: usize, Y>
    ElasticViscoplasticFiniteElement<C, G, 3, N, P, Y> for Element<G, N, O>
where
    C: ElasticViscoplastic<Y>,
    Self: SolidFiniteElement<G, 3, N, P>,
    Y: Tensor,
{
    fn nodal_forces(
        &self,
        constitutive_model: &C,
        nodal_coordinates: &ElementNodalCoordinates<N>,
        state_variables: &ViscoplasticStateVariables<G, Y>,
    ) -> Result<ElementNodalForcesSolid<N>, FiniteElementError> {
        match self
            .deformation_gradients(nodal_coordinates)
            .iter()
            .zip(state_variables)
            .map(|(deformation_gradient, state_variable)| {
                let (deformation_gradient_p, _) = state_variable.into();
                constitutive_model
                    .first_piola_kirchhoff_stress(deformation_gradient, deformation_gradient_p)
            })
            .collect::<Result<FirstPiolaKirchhoffStressList<G>, _>>()
        {
            Ok(first_piola_kirchhoff_stresses) => Ok(first_piola_kirchhoff_stresses
                .iter()
                .zip(
                    self.gradient_vectors()
                        .iter()
                        .zip(self.integration_weights()),
                )
                .map(
                    |(first_piola_kirchhoff_stress, (gradient_vectors, integration_weight))| {
                        gradient_vectors
                            .iter()
                            .map(|gradient_vector| {
                                (first_piola_kirchhoff_stress * gradient_vector)
                                    * integration_weight
                            })
                            .collect()
                    },
                )
                .sum()),
            Err(error) => Err(FiniteElementError::Upstream(
                format!("{error}"),
                format!("{self:?}"),
            )),
        }
    }
    fn nodal_stiffnesses(
        &self,
        constitutive_model: &C,
        nodal_coordinates: &ElementNodalCoordinates<N>,
        state_variables: &ViscoplasticStateVariables<G, Y>,
    ) -> Result<ElementNodalStiffnessesSolid<N>, FiniteElementError> {
        match self
            .deformation_gradients(nodal_coordinates)
            .iter()
            .zip(state_variables)
            .map(|(deformation_gradient, state_variable)| {
                let (deformation_gradient_p, _) = state_variable.into();
                constitutive_model.first_piola_kirchhoff_tangent_stiffness(
                    deformation_gradient,
                    deformation_gradient_p,
                )
            })
            .collect::<Result<FirstPiolaKirchhoffTangentStiffnessList<G>, _>>()
        {
            Ok(first_piola_kirchhoff_tangent_stiffnesses) => {
                Ok(first_piola_kirchhoff_tangent_stiffnesses
                    .iter()
                    .zip(
                        self.gradient_vectors()
                            .iter()
                            .zip(self.integration_weights()),
                    )
                    .map(
                        |(
                            first_piola_kirchhoff_tangent_stiffness,
                            (gradient_vectors, integration_weight),
                        )| {
                            gradient_vectors
                                .iter()
                                .map(|gradient_vector_a| {
                                    gradient_vectors
                                        .iter()
                                        .map(|gradient_vector_b| {
                                            first_piola_kirchhoff_tangent_stiffness
                                            .contract_second_fourth_indices_with_first_indices_of(
                                                gradient_vector_a,
                                                gradient_vector_b,
                                            )
                                            * integration_weight
                                        })
                                        .collect()
                                })
                                .collect()
                        },
                    )
                    .sum())
            }
            Err(error) => Err(FiniteElementError::Upstream(
                format!("{error}"),
                format!("{self:?}"),
            )),
        }
    }
    fn state_variables_evolution(
        &self,
        constitutive_model: &C,
        nodal_coordinates: &ElementNodalCoordinates<N>,
        state_variables: &ViscoplasticStateVariables<G, Y>,
    ) -> Result<ViscoplasticStateVariables<G, Y>, FiniteElementError> {
        match self
            .deformation_gradients(nodal_coordinates)
            .iter()
            .zip(state_variables)
            .map(|(deformation_gradient, state_variable)| {
                constitutive_model.state_variables_evolution(deformation_gradient, state_variable)
            })
            .collect::<Result<ViscoplasticStateVariables<G, Y>, _>>()
        {
            Ok(state_variables_evolution) => Ok(state_variables_evolution),
            Err(error) => Err(FiniteElementError::Upstream(
                format!("{error}"),
                format!("{self:?}"),
            )),
        }
    }
}