Implementation relies on elements located exclusively in x,y plane. The coordinate x corresponds to radius, y is the axis of rotation. Approximation of displacement functions u,v is carried out on a particular finite element. Nonzero strains read
Implementation of triangular three-node finite element for axisymmetric continuum. Each node has 2 degrees of freedom. Node numbering and edge position is the same as in Fig. 7. The element features are summarized in Table 30.
Keyword | Axisymm3d |
Description | Triangular axisymmetric linear element |
Specific parameters | [NIP #(in)] [NIPfish #(in)] |
Parameters | NIP: allows to set the number of integration points (possible completions are 1 (default), 4 and 7 point integration rule). |
Unknowns | Two dofs (u-displacement, v-displacement) are required in each node. |
Approximation | Linear approximation of displacement and geometry. |
Integration | The integration can be altered using NIP paramter (default is 1 point integration). |
Features | - |
CS properties | - |
Loads | Boundary and body loads are supported. |
Nlgeo | 0. |
Status | - |
Implementation of quadratic isoparametric eight-node quadrilateral - finite element for axisymmetric 3d continuum. Each node has 2 degrees of freedom. The element features are summarized in Table 31.
Keyword | Q4axisymm |
Description | Quadratic isoparametric eight-node quadrilateral for axisymmetric analysis |
Specific parameters | [NIP #(in)] [NIPfish #(in)] |
Parameters | NIP: allows to set the number of integration points for integration of terms corresponding to εx and εy strains (possible completions are 1, 4 (default), 9, and 16). |
NIPfish: allows to set the number of integration points for integration of remain terms (corresponding to εθ and γrz) (Supported values include 1 (default), 4, 9, and 16 integration point formula). |
|
Unknowns | Two dofs (u-displacement, v-displacement) are required in each node. |
Approximation | Quadratic approximation of displacement and geometry. |
Integration | The integration of terms corresponding to εx and εy strains can be altered using NIP parameter (default is 4 point formula). The remaining terms (creesponding to εθ and γrz) are integrated by default using 1 point formula (see NIPfish parameter). |
Features | - |
CS properties | - |
Loads | No boundary and body loads are supported. |
Nlgeo | 0. |
Status | - |
Implementation of isoparametric four-node quadrilateral axisymmetric finite element with linear interpolations of displacements u,v. Node numbering and edge position is the same as in Fig. 5. The element features are summarized in Table 32.
Keyword | L4axisymm |
Description | Isoparametric four-node quadrilateral element for axisymmetric analysis |
Specific parameters | [NIP #(in)] |
Parameters | NIP: allows to set the number of integration points for integration of terms corresponding to εx and εy strains (possible completions are 1, 4 (default), 9, and 16). |
Unknowns | Two dofs (u-displacement, v-displacement) are required in each node. |
Approximation | Linear approximation of displacement and geometry. |
Integration | The integration of εx and εy strains can be altered using NIP parameter (possible completions are 1, 4 (default), 9 or 16 point integration rule). The remaining strain components (εθ and γrz) are integrated using one point integration formula. |
Features | - |
CS properties | - |
Loads | Boundary and body loads supported. |
Nlgeo | 0. |
Status | - |