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Why Griffith's Law of fracture does not hold at the nanoscale

Submitted by ashfaqadnan on

We know from fracture mechanics theories that fracture instability in a perfectly brittle material occurs when energy release rate (G) becomes equal or more than two times the surface energy (γ) of that material. The value of G = 2γ is known as fracture toughness Gc. This is the classical Griffith criteria of brittle fracture. Experimentally, however, we know that plasticity becomes eminent for most materials and this criteria does not work.

Finite Deformation: Special Cases

Submitted by Zhigang Suo on

The notes on finite deformation have been divided into two parts: special cases and general theory (node/538). In class I start with special cases, and then sketch the general theory. But the two parts can be read in any order.

Stress-induced martenstic phase transformation in Cu-Zr nanowires

Submitted by Vijay Kumar Sutrakar on

Hi Friends

I want to share some of our recent research work on the stress induced phase transformation of CuZr nanowire which is published in Materials Letters.

http://dx.doi.org/10.1016/j.matlet.2009.02.064

Continuity in the Plastic Strain Rate and its Influence on Texture Evolution

Submitted by Justin C. Mach on

Classical plasticity models evolve state variables in a spatially independent manner through (local) ordinary differen- 

tial equations, such as in the update of the rotation field in crystal plasticity. A continuity condition is derived for the 

lattice rotation field from a conservation law for Burgers vector content—a consequence of an averaged field theory 

of dislocation mechanics. This results in a nonlocal evolution equation for the lattice rotation field. The continuity 

My Eprint papers

Submitted by Pi-Gang Luan on
 Hi,
These are my Eprint papers. Some have already been published as Journal papers, some have not.
I will discuss some of them here someday.
You can link to  http://arxiv.org/ and search my name Pi-Gang Luan in Physics [arxive: All], and these papers would be shown to you. There is an exception, my YBE paper ([Colored solutions of Yang-Baxter equation from representations of U_{q}gl(2)] ). In that case you should type [Pi-Gang Luan] instead of Pi-Gang Luan to find the paper.

My Chinese blogs and My Photonic Crystal Book

Submitted by Pi-Gang Luan on

Hello,

If you can read Chinese, you can visit my Chinese Blogs as follows.

http://www.blogtw.com/blog.php?user=pgluan

http://tw.myblog.yahoo.com/pgluan2005/

Besides, I and my colleague (Prof. chen) published a Photonic Crystal book: "Photonic Crystals -- From butterfly wings to nanophotonics" in 2005.

Notes on Implicit Update for Bergstrom-Boyce Network B

Submitted by Amit Acharya on

This post is in response to the imechanica request

node/5034

 (a separate post, as I have to attach notes - it would be really nice to be able to attach documents to imechanica comments)

 Attached are hand-written notes I have used to implement the Network B for the Bergstrom-Boyce model. They were written for my use only, so if it seems stream-of-consciousness at times, don't blame me. The details should all be there, though.

Bending and 2D Elasticity: Going Back in Time

Submitted by Ajit R. Jadhav on

The following is a (relatively minor) question which had occurred to me more than two decades ago. By now I have forgotten precisely when it was... It could have been when I was in my TE (third year engineering) at COEP. ... Or, perhaps, it was later on, when I as at IIT Madras (studying stress analysis on my own). ... I don't remember precisely when it occurred to me, only *how* it did---it was when I was poring over the first part of Dieter's book.