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: <email@example.com>
Supposing you work within the elasticity theory one good place for
Mathematica notebooks is the folowing link
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:
Hope that I help you a little!
> 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
> 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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