v0.13.1
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ddTensor0.hpp
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1/* Takes a second derivative of a Tensor0 yielding a Tensor2_symmetric. */
2
3#pragma once
4
5namespace FTensor
6{
7 template <class T, int Dim, char i, char j> class ddTensor0
8 {
9 const Tensor0<T *> &a;
12
13 public:
14 typename promote<T, double>::V operator()(const int N1, const int N2) const
15 {
16 return N1 == N2
17 ? (*(&a + d_ijk(N1)) - 2 * a + *(&a - d_ijk(N1))) * d_xyz(N1)
18 * d_xyz(N1)
19 : (*(&a + d_ijk(N1) + d_ijk(N2)) - *(&a - d_ijk(N1) + d_ijk(N2))
20 - *(&a + d_ijk(N1) - d_ijk(N2))
21 + *(&a - d_ijk(N1) - d_ijk(N2)))
22 * d_xyz(N1) * d_xyz(N2) * 0.25;
23 }
25 const Tensor1<double, Dim> &D_xyz)
26 : a(A), d_ijk(D_ijk), d_xyz(D_xyz)
27 {}
28 };
29
30 template <class T, int Dim, char i, char j>
31 const Tensor2_symmetric_Expr<const ddTensor0<T, Dim, i, j>,
32 typename promote<T, double>::V, Dim, i, j>
33 dd(const Tensor0<T *> &a, const Index<i, Dim> index1,
34 const Index<j, Dim> index2, const Tensor1<int, Dim> &d_ijk,
35 const Tensor1<double, Dim> &d_xyz)
36 {
37 using Tensor_Expr = ddTensor0<T, Dim, i, j>;
39 Dim, i, j>(Tensor_Expr(a, d_ijk, d_xyz));
40 }
41}
static Number< 2 > N2
static Number< 1 > N1
constexpr double a
promote< T, double >::V operator()(const int N1, const int N2) const
Definition: ddTensor0.hpp:14
const Tensor1< int, Dim > & d_ijk
Definition: ddTensor0.hpp:10
const Tensor0< T * > & a
Definition: ddTensor0.hpp:9
const Tensor1< double, Dim > & d_xyz
Definition: ddTensor0.hpp:11
ddTensor0(const Tensor0< T * > &A, const Tensor1< int, Dim > &D_ijk, const Tensor1< double, Dim > &D_xyz)
Definition: ddTensor0.hpp:24
FTensor::Index< 'i', SPACE_DIM > i
FTensor::Index< 'j', 3 > j
Tensors class implemented by Walter Landry.
Definition: FTensor.hpp:51
const Tensor2_symmetric_Expr< const ddTensor0< T, Dim, i, j >, typename promote< T, double >::V, Dim, i, j > dd(const Tensor0< T * > &a, const Index< i, Dim > index1, const Index< j, Dim > index2, const Tensor1< int, Dim > &d_ijk, const Tensor1< double, Dim > &d_xyz)
Definition: ddTensor0.hpp:33
constexpr AssemblyType A
Definition: plastic.cpp:46