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continuum mechanics

kapornith's picture
Mon, 2011-10-24 23:05 - kapornith
research
material co-ordinate systems

Hi,
I am looking for a good citation (or perhaps a detailed explaination) on the difference between material co-ordinate and eulerian co-ordinate system.Please treat me a beginner in the field of continuum mechanics.Thanks for your help in advance.
Regards
Kapil

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A.Brick Chaouche's picture

Submitted by A.Brick Chaouche on Tue, 2011-10-25 05:17.

I know that durring the mouvement in continuum mechanics there is two formulations, lagrangien and eulerien and the variables taken to define each future configuration of the mouvement are different, so for the lagrangien formulation the mouvement (or the transformation in general) is defined with referance of the initial configuration let say at t=0 the body was at M0 location with its constant values, in the eulerien formulation the mouvment is defined with the eulerian variable wich is the value of the speed V(t) of the acctual configuration at the moment (t), 

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kapornith's picture

Submitted by kapornith on Tue, 2011-10-25 14:35.

Thanks Brick,
Actually i have gone through a series of ebooks on continuum mechanics for the same but still have a feeling that i lack the practical aspect of the same.
I need some comprehensive yet easily apprehendable material on it.

Regards

Kapil Sharma

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A.Brick Chaouche's picture

Submitted by A.Brick Chaouche on Wed, 2011-10-26 04:11.

You are welcome Mr Kapornith, I read a book in french called:" Mécanique des milieux continus Concept de base, author: Jean Coirier Professor in L'école nationale supérieure de Mécanique et L'Aérotechnique (ENSMA) de Poitiers" i don't know if there is an english copie i didn't check for that, but i dupt that there isn't, i read this book and it gave me a broud and significant  understanding especialy with the Mathematical tool of the tensorial Algebra. try to find it, and if i find an english version i'll let you know. good luck

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Submitted by dhruba on Tue, 2011-10-25 19:20.

This book might be helpful:

http://www.amazon.co.uk/Nonlinear-Continuum-Mechanics-Element-Analysis/dp/0521838703 

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Temesgen Markos's picture

Submitted by Temesgen Markos on Tue, 2011-10-25 21:54.

Here is a very accessible and compresensive material. It is written in the context of fluids but still very good as far as understanding the difference between the two and how to convert quantities/equations between the two descriptions goes.

http://www.whoi.edu/science/PO/people/jprice/class/ELreps.pdf

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Submitted by Arun Krishnan on Wed, 2011-10-26 14:35.

Take a look at this thread. 

http://imechanica.org/node/6736

-Arun 

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kapornith's picture

Submitted by kapornith on Wed, 2011-10-26 23:42.

Thanks a lot all of you.Arun that was a really good thread.Looks like i am not even started with the start of learning curve.It has been a long time since i completed my bachelors and after a span of 10 years trying to not only recollect all what i learnt but at the same time delving  deeper into my one of my interests (Mechanics).Learning by self always has it 's own set of implications and that is one of the reasons i find forums quite informative.

Temesgen/Dhruba thanks i have these two books and unluckily didn't refer either of them....will go through these surely.

Brick thanks...in the mean time i can start doing my homework.(Tensors)..

Regards

Kapil

 

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