concreteproperties.utils.shape_function

shape_function(coords, gauss_point)

Computes shape functions and the determinant of the Jacobian matrix for a linear triangular element at a given Gauss point.

Parameters

• coords (ndarray) – Global coordinates of the linear triangle vertices [2 x 3]

• gauss_point (List[float]) – Gaussian weight and isoparametric location of the Gauss point

Returns

Tuple[ndarray, float] – The value of the shape functions N(i) at the given Gauss point [1 x 3] and the determinant of the Jacobian matrix j