Hello,
I am planning to use a symmetric tensor rank-6 for third-order elastic
constants in a nonlinear elasticity code. The tensor is supposed to be
symmetric within each three pair indices as well as all possible orders of
pair permutations.
Namely, C_ijklmn = C_jiklmn = C_ijlkmn = C_ijklnm = C_klijmn = C_mnijkl
,.....This tensor without any material symmetry will have 56 independent
elements.
The SymmetricTensor class provides the symmetry within the pairs without
the symmetry obtained by permutation of pairs and it will be totally fine
and I can take care of the extra symmetry I need by writing the equal
elements as many times as required.
However, the problem is that I can not even initialize a rank-6 tensor.
Interestingly it works for rank-4 though. It seems that I am missing
something in the instruction of the tensor. Only the following simplest
line of code gives me an error.
$ *SymmetricTensor<6, dim> C; *
The error is:
/home/hbabaei/deal.ii-candi/deal.II-v9.0.1/include/deal.II/base/symmetric_tensor.h:563:29:
error: incomplete type
‘dealii::internal::SymmetricTensorAccessors::StorageType<6, 3, double>’
used in nested name specifier
static const unsigned int n_independent_components
^
/home/hbabaei/deal.ii-candi/deal.II-v9.0.1/include/deal.II/base/symmetric_tensor.h:1046:1:
error: size of array is not an integral constant-expression
SymmetricTensor<rank_,dim,Number>::SymmetricTensor (const Number (&array)
[n_independent_components])
^
/home/hbabaei/deal.ii-candi/deal.II-v9.0.1/include/deal.II/base/symmetric_tensor.h:1046:100:
error: size of array is not an integral constant-expression
SymmetricTensor<rank_,dim,Number>::SymmetricTensor (const Number (&array)
[n_independent_components])
^
/home/hbabaei/deal.ii-candi/deal.II-v9.0.1/include/deal.II/base/symmetric_tensor.h:861:61:
error: invalid use of incomplete type ‘struct
dealii::internal::SymmetricTensorAccessors::StorageType<6, 3, double>’
typedef typename base_tensor_descriptor::base_tensor_type
base_tensor_type;
^
/home/hbabaei/deal.ii-candi/deal.II-v9.0.1/include/deal.II/base/symmetric_tensor.h:188:12:
error: declaration of ‘struct
dealii::internal::SymmetricTensorAccessors::StorageType<6, 3, double>’
struct StorageType;
^
It seems that I need to specify n_independent_components, but I do not know
how and where I can do so.
I appreciate it if you could give me any clue how to implement a rank-6
tensor successfully.
Thanks and regards,
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