pysdic.get_segment_2_gauss_points#

get_segment_2_gauss_points(return_weights=False)[source]#

Get the natural coordinates \(\xi\) and weights of Gauss quadrature points for a 2-node segment element.

Parameters:

return_weights (bool, optional) – If True, the function will also return the weights associated with each Gauss point. Default is False.

Returns:

gauss_points (numpy.ndarray) – Natural coordinates of the Gauss points. The returned array has shape (1, 1).
weights (numpy.ndarray, optional) – If return_weights is True, the function also returns an array of weights with shape (1,) associated with each Gauss point.

Return type:

ndarray | Tuple[ndarray, ndarray]

Notes

A 2-node segment element uses the following Gauss points and weights for numerical integration:

Point No.	\((\xi)\)	Weight \(w\)
1	\(0\)	\(2\)

See also

pysdic.compute_segment_2_shape_functions: Shape functions for 2-node segment 1D-elements.

Examples

Get the Gauss points for a 2-node segment element:

import numpy
from pysdic import get_segment_2_gauss_points

gauss_points = get_segment_2_gauss_points()
print("Gauss points:")
print(gauss_points)

Gauss points:
[[0.0]]