Element_Library > Shell_Elements > shapeMN


shapeMN

Purpose

shape functions for 4-node panel element with mid-edge nodes

Synopsis

[N,dNdx,J] = shapeMN (nat,xyz)

Description

SHAPEMN shape functions for 4-node panel element with mid-edge nodes
  [N,dNdx,J] = SHAPEMN (NAT,XYZ,NODIX) shape functions for 4-node panel element with mid-edge nodes

  Input Parameters
  ----------------
  nat   = [ xi eta ] natural coordinates of point of interest
  xyz   = node coordinates for element (row i for node i)
  ----------------
  Return Variables
  ----------------
  N     = shape function values for point of interest
  dNdx  = dNdx(i,j) = derivative of shape function j with respect to geometric coordinate x_i
  J     = Jacobian of transformation from geometric to natural coordinates

  Reference: T.J.R. Hughes, The Finite Element Method, pp. 135

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