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MathGroup Archive 2007

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Re: Derivative recurrence further

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72713] Re: Derivative recurrence further
  • From: "dimitris" <dimmechan at yahoo.com>
  • Date: Tue, 16 Jan 2007 03:07:34 -0500 (EST)
  • References: <eofikq$gc1$1@smc.vnet.net>

Supposing you work within the elasticity theory one good place for
Mathematica notebooks is the folowing link

http://www-personal.umich.edu/~jbarber/elasticity/book.html

It contains Mathematica notebooks (as well relevant material for anothe
CAS) for the material inside Barber's Book Elasticity (Second Edition).

Also of great interest are the following links:

http://documents.wolfram.com/applications/structural/
http://zen.uta.edu/research/cas.html

Hope that I help you a little!

Dimitris

KFUPM wrote:
> Dear All
>
> I have the following
>
> u1(x,x,z,t) = z f1(x,y,t)
> u2(x,y,z,t) = z f2(x,y,t)
> u3(x,y,z,t) = z f3(x,y,t)
>
> which is basically the displacement fied. I want to compute the strain
> which is given in indecial notation as:
>
> Eij = 1/2( dui/dxj + duj/dxj ) where i, j, k go from 1 to 3,,, x1=x, x2
> =y, x3=z,
>
> I want mathematica to calculate the strain Eij autmoatically,
>
> for example
>
> when i = 1 and j= 2
>
> E12 =1/2 (du1/dx2+du2/dx1 )     but x1 =x and x2 =y
>
> therefore
>
> E12 =1/2 (du1/dy + du2/dx) = 1/2 ( z df1/dx + z df2/dy),,,   where f1,
> f2 and f3 are arbitrary functions.
>
> Eij should generate 3 by 3 matrix containing the strain components.
> Frankly, i don't know how to do it using mathematica and i would
> appreciate any help in this regard.
> 
> 
> Thanks in anticipation


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