iMechanica - anisotropic elasticity - Comments

related papers

Teng zhang — Sun, 10 Aug 2008 23:37:46 -0400

Dear Lim

Thank you for your reminding.

I have added four papers in the post. The first is hamilton system for strip domain; while the second is about the sector domain. The last two papers, written by JQ Tarn, are also in the state space composed by displacements and stress. Tarn's solutions are not in the framework of hamilton, but like the stroh formalism.

In contrast to the traditional solution methodology, for which the main technique is semi-inverse
approach, the solutions bases on the hamilton system is carried out rationally in the symplectic space. We want to konw if some problems of anisotropic elastic have not solved well due to the complex assumptions of the solutions, and since, hamilton system need not assumptions of the solutions, it may be help in that kind problems.

Details

Keng-Wit Lim — Sun, 10 Aug 2008 14:35:30 -0400

Perhaps you may want to post a preprint or paper of some sort for the details. Otherwise, it will be hard for others to follow what you really mean.

Thanks.

I agree with you, but try to contact prof. Barber he is nice

Mike Ciavarella — Sun, 08 Jun 2008 11:59:13 -0400

I agree with you the paper by Barber and Ting is extremely sophisticated.

But maybe they can give you all the mathematica routines you need.

You obviously find his email in the link.

Regards

Mike

michele ciavarella
www.micheleciavarella.it

extended Stroh formalism

Rui Huang — Sat, 07 Jun 2008 18:01:58 -0400

Michele,

Thanks. I did take a look at Barbar and Ting's paper. However, I must admit that I do not have a good understanding of the Stroh formalism and found it difficult to follow in some cases. For the problem we had in this study, the method of Fourier transform seems to be straightforward. It may has some similarity with the Stroh formalism, but it is not a simple extension.

Regards,

excellent contribution Rui

Mike Ciavarella — Sat, 07 Jun 2008 15:40:05 -0400

Rui have you seen also the recent work on JMPS by Barber and Ting? Maybe you can extend that to films. Ask Jim.

Three-dimensional anisotropic elasticity - an extended Stroh formalism

Tom Ting and I have recently
developed a method of extending Stroh's anisotropic formalism to
problems in three dimensions. The unproofed paper can be accessed at http://www-personal.umich.edu/~jbarber/Stroh.pdf .

.Regards, Mike

michele ciavarella
www.micheleciavarella.it

Sergei Gheorgievich Lekhnitskii

Zhigang Suo — Wed, 12 Mar 2008 14:40:58 -0400

I have an Englishe edition of his book, Theory of Elasticity of an Anisotropic Body, translated from the revised 1977 Russian edition, published in 1981 by Mir Publishers. The dust jacket of the book has the following blurb:

Professor Sergei Gheorgievich Lekhnitskii is a Doctor of Physical and Mathematical Sciences and a State Prize Winner. A leading scientist in the field of the theory of elasticity and particularly the elasticity of anisotropic bodies, Professor Lekhnitskii graduated from the Physics and Mathematics Faculty of Leningrad State University in 1931, specializing in "Mechanics". He completed a candidate's degree in the same faculty in 1934, his subject being the theory of elasticity. Professor Lekhnitskii has published, sometimes in a number of editions, several books, including Stability of Anisotropic Plates, Theory of Elasticity of Anisotropic Bodies, and Torsion of Anisotropic and Non-homogeneous Bars. He also has more than 60 articles to his credit, appearing in the journals of the Soviet Academy of Sciences, the proceedings of various congresses and conferences, and collections issued by Leningrad and Saratov Universities. A number of his works have been translated into foreign languages.