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anisotropic elasticity

Influence of anisotropic elasticity on the mechanical properties of fivefold twinned nanowires

 

In this paper in the Journal of the Mechanics and Physics of Solids (vol. 84, p. 358, 

http://authors.elsevier.com/a/1Rk5057Zjdx-o ) we propose a
new theory for the mechanical properties of fivefold twinned nanowires.

We show that the Frank vector of the central wedge disclination depends on the uniaxial strain,

Abaqus - isotropic material definition problem with engineering constants

Hi, 

I am using a steady-state dynamic analysis procedure to model harmonic loading of a structure. I am investigating different material definitions. When I applied transversely isotropic stiffness using engineering constants, I saw a much different response than expected. So, as a test, I compared the following two models which gave DIFFERENT results: 

Mike Ciavarella's picture

a JKR theory of adhesion for anisotropic solids

Jim Barber and I just got accepted this paper in JMPS, and it is also already available on Arxiv.  We found a remarkably simple closed form solution for adhesion on orthotropic materials in the planes of symmetry.  This shows adhesion can increase significantly due to anisotropy, namely the JKR solution continues to hold in the sense of mean elastic modulus, but the prefactor can grow without limit. We expect applications in crystals indentation, but also in locomotion in biological world.

 

Teng zhang's picture

Stroh formalism and hamilton system for 2D anisotropic elastic

 

We have read some papers of stroh formalism and the textbook of Tom Ting, and found that the stroh formalism and the hamilton system proposed by prof.zhong wanxie had some relation. We want to know whether the stroh formalism is enough for the analysis of the anisotropic elastic? Thus's to say, for some problems could not  give the satisfied answer which we may try the hamilton framework. I briefly compare the two methods as follows:

Lekhnitskii's biography

Choose a channel featured in the header of iMechanica: 

Hi everyone,

I started last year my PhD in mechanical engineering in the University of Seville (Spain). After attending a lecture on Stroh and Lekhnitskii formalism I wanted to know more about this two mechanicians. It was easy to find a brief Stroh's biography in Ting's Anisotropic Elasticity, but I was unable to find anything about Lekhnitskii. My lecturer had also tried to find out something about him, asking even to russian engineers in international conferences, but not even his fellow  countrymen knew anything.  This lack of records increase even more my curiosity.

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 .

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