shapeDerivTriang_Lin
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Computes the shape function derivatives and the determinant of the jacobian matrix for linear triangle elements. This function is used internally from shapeDerivatives.
Version : 1.0
Author : George Kourakos
email: giorgk@gmail.com
web : http://groundwater.ucdavis.edu/msim
Date 18-Mar-2014
Department of Land Air and Water
University of California Davis
Contents
Usage
[B Jdet]=shapeDerivTriang_Lin(p, MSH, n, proj)
Input
p: [Np x 3] Coodrinates of nodes [x1 y1 z1; x2 y2 z2;...xn yn zn], where Np is the number of nodes
MSH: [Nel x Np_el] id of elements. Each row correspond to an element. Nel is the number of elements and Np_el is the number of nodes to define the element
n: the integration point where the derivatives will be evaluated.
proj : if proj is true then the elements will be projected on the 2D plane before computing the determinant usign mapElemto2D
Output
B: Shape function derivatives
Jdet: The determinant of the Jacobian Matrix
Shape functions
N1 = ksi;
N2 = eta;
N3 = 1 - ksi - eta;
Derivatives of shape functions
dN1 = 1; dN2 = 0; dN3 = -1; (wrt. ksi)
dN4 = 0; dN5 = 1; dN6 = -1; (wrt. eta)