Class GooseFEM::Element::Quad4::QuadratureAxisymmetric#
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class QuadratureAxisymmetric : public GooseFEM::Element::QuadratureBaseCartesian<QuadratureAxisymmetric>#
Interpolation and quadrature.
Fixed dimensions:
ndim = 2: number of dimensions.tdim = 3: number of dimensions or tensor.nne = 4: number of nodes per element.
Naming convention:
elemmat: matrices stored per element, [nelem, nne * ndim, nne * ndim]elemvec: nodal vectors stored per element, [nelem, nne, ndim]
Public Functions
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template<class T>
inline QuadratureAxisymmetric(const T &x)# Constructor: use default Gauss integration.
The following is pre-computed during construction:
the shape functions,
the shape function gradients (in local and global) coordinates,
the integration points volumes. They can be reused without any cost. They only have to be recomputed when the nodal position changes (note that they are assumed to be constant under a small-strain assumption). In that case use update_x() to update the nodal positions and to recompute the above listed quantities.
- Parameters
x – nodal coordinates (
elemvec).
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template<class T, class X, class W>
inline QuadratureAxisymmetric(const T &x, const X &xi, const W &w)# Constructor with custom integration.
The following is pre-computed during construction:
the shape functions,
the shape function gradients (in local and global) coordinates,
the integration points volumes. They can be reused without any cost. They only have to be recomputed when the nodal position changes (note that they are assumed to be constant under a small-strain assumption). In that case use update_x() to update the nodal positions and to recompute the above listed quantities.
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inline const array_type::tensor<double, 6> &B() const#
Get the B-matrix (shape function gradients) (in global coordinates).
Note that the functions and their gradients are precomputed upon construction, or updated when calling update_x().