Results 1 to 1 of 1

Thread: hard to solve - HELP - shape functions derivative - anyone ?

  1. #1
    Feb 2008

    hard to solve - HELP - shape functions derivative - anyone ?

    shape functions partial derivative

    Hello !

    I need some help to figure out a calculus problem. I must perform a partial derivative of a polynomial, p(x,y).
    But to build this polynomial I use the shape function concepts (of Finite Element Method) and I get lost when I need to derivate it.

    The whole formulation is on the picture file attached. The polynomial I need (equation 1) is obtained with equation 8, using equations 2 to 7. Note that I use exact formulaes (5b) to do the integrations on 5a.

    I already obtain correct values for equation 8, given x and y coordinates. Next I do a coordinate transformation on equation 9. There my polynomial is represented by equation 10. Next I need to perform the derivatives of it, like in equations 11 and 12.

    I tried the product rule of derivation for equation 7, using the derivative of an inverse matrix as -R^-1*(dR/dx)*R^-1 but didn't get any result.

    I dont know if I was able to explain my problem very clear to you all, but any help will be appretiated.

    Again, the whole idea is to compute the gradient of a property using the polynomial obtained with the shape functions.

    Thanks in advance,

    Attached Thumbnails Attached Thumbnails hard to solve - HELP - shape functions derivative - anyone ?-shapefunc_deriv.png  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How to solve a shaded region in a weird shape?
    Posted in the Pre-Calculus Forum
    Replies: 8
    Last Post: Oct 20th 2011, 04:44 PM
  2. Replies: 4
    Last Post: Aug 16th 2011, 05:01 AM
  3. Shape of graph of quadratic functions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Nov 8th 2009, 05:04 AM
  4. Derivative and Graph shape questions
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Mar 28th 2008, 02:23 AM
  5. Replies: 0
    Last Post: Feb 8th 2008, 09:28 AM

Search Tags

/mathhelpforum @mathhelpforum