This post is both a question and a test how well Latex2HTML performs. The algebra might be useful for students who are starting off in the field. Please go through the details and comment on the question at the end of the post.
From an engineering point of view, prediction of fatigue crack nucleation in automotive rubber parts is an essential prerequisite for the design of new components. We have derived a new predictor for fatigue crack nucleation in rubber. It is motivated by microscopic mechanisms induced by fatigue and developed in the framework of Configurational Mechanics. As the occurrence of macroscopic fatigue cracks is the consequence of the growth of pre-existing microscopic defects, the energy release rate of these flaws need to be quantified. It is shown that this microstructural evolution is governed by the smallest eigenvalue of the configurational (Eshelby) stress tensor. Indeed, this quantity appears to be a relevant multiaxial fatigue predictor under proportional loading conditions. Then, its generalization to non-proportional multiaxial fatigue problems is derived. Results show that the present predictor, which covers the previously published predictors, is capable to unify multiaxial fatigue data.
With the increasing use of shape memory alloys in recent years, it is important to investigate the effect of cracks. Theoretically, the stress field near the crack tip is unbounded. Hence, a stress-induced transformation occurs, and the martensite phase is expected to appear in the neighborhood of the crack tip, from the very first loading step. In that case, the crack tip region is not governed by the far field stress, but rather by the crack tip stress field. This behavior implies transformation toughening or softening.
This paper shows that the stress field in the classical theory of continuum mechanics
may be taken to be a covector-valued differential two-form. The balance laws and other funda-
mental laws of continuum mechanics may be neatly rewritten in terms of this geometric stress. A
Springer - in an attempt to get customers I suppose - are offering free access to the journal Computational Mechanics, but only for March 2007.
You can access all articles in Computational Mechanics back to vol 1/1, e.g. the first article
E. Reissner
Some aspects of the variational principles problem in elasticity
Volume 1, Issue - 1, First Page - 3, Last Page - 9
DOI - 10.1007/BF00298634
Link - http://www.springerlink.com/content/t52w761088542m68
To get the free access (for the rest of March) go to
http://scientific-direct.net/c.asp?id=650015&c=7fbfc8d9b40ac978&l=31
Please joint me in congratulating Dr. Stelios Kyriakides’ (Editor of International Journal of Solids and Structures) for his election to the United States National Academy of Engineering.
Since Dec. 2006, Institute of High Performance Computing (IHPC) has set up a biophysics research team that comprises research scientists in the fields of biophysics, solid mechanics and fluid mechanics, and has kicked off the "Computational Cancer Mechanics" project.
I was reading professor Zhigang Suo's post titled "What's Wrong with Applied Mechanics", thinking about the large amount of knowledge available. There are so many applications of mechanics that they seem endless in any subfield that one can think of. It made me recall some homework problems that wanted to include real life applications. However, real life applications tend to turn out much more complicated than what can be covered in one homework problem.
As the number of comments increases rapidly, how can anyone keep up? One answer is to use a RSS reader. The service is free, and takes 5 minutes to set up. It allows you to see all new comments at a glance, without clicking on individual ones. Once you have set up your Google Reader, paste the URL for the feed of comments crss
How to measure the temperature of a nanotube?
