Hi Robert,
Robert Dodier wrote:
> On 10/30/05, Glenn Ramsey wrote:
>
>
>>I am wanting to use Maxima to do some material parameter
>>estimation which involves evaluating the finite elasticity
>>stress and strain tensors.
>
>
> Sounds like an interesting problem -- can you give a 25
> words or less summary of the estimation problem and/or
> a pointer to a web page that describes it?
> I don't know much about elasticity but I have worked on
> some estimation problems ....
It's pretty well described here:
<http://www.engin.umich.edu/class/bme456/ch6fitelasticmodelconstant/bme456fitmodel.htm>;
I will be doing some experiments eventually but the data I want to fit
to get a rough model of the material behaviour is in this paper:
<http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=pubmed&dopt=Abstract&list_uids=9662499&query_hl=1>;
It is part of a PhD research project.
It's not so much the estimation problem that I'm having trouble
understanding but it is how to implement it in Maxima using tensors that
I'm puzzling over. I must admit that I understand enough of vector and
and matrix maths to be dangerous :-) but I'm still on the steep part of
the learning curve with tensor maths, so I figure that by attempting to
do this I will end up learning the topic pretty thoroughly.
I have been given an implementation in Mathematica by a collegue but it
is written using matrices and not tensors. I think I could rewrite the
matrix version without too much difficulty in Maxima but I would like to
do it using tensors to see if I can, unless there is a reason why it
won't work.
Regards
Glenn
--
Glenn Ramsey 07 8627077
http://www.componic.co.nz