On Fri, Mar 29, 2013 at 4:48 PM, Axil Axil <[email protected]> wrote:
> There is a limit to stability, once stability reaches that limit, there is > no way to go but toward instability. > > Is this something like "buckling"? Failure without breaking The buckling occurs under compressive load and its mathematical description has been known for 200 (?) years: http://www.youtube.com/watch?v=wrdO8hPJGyg However, in 2011 it was shown how buckling could occur under tensile load: http://www.youtube.com/watch?v=EKngs1vvcJU http://en.wikipedia.org/wiki/Buckling In science, *buckling* is a mathematical instability, leading to a failure mode <http://en.wikipedia.org/wiki/Structural_failure>. Theoretically, buckling is caused by a bifurcation<http://en.wikipedia.org/wiki/Bifurcation_theory>in the solution to the equations of static equilibrium <http://en.wikipedia.org/wiki/Mechanical_equilibrium>. At a certain stage under an increasing load, further load is able to be sustained in one of two states of equilibrium: an undeformed state or a laterally-deformed state. http://en.wikipedia.org/wiki/Buckling#Buckling_under_tensile_dead_loading Buckling under tensile dead loading Usually buckling and instability are associated to compression, but recently Zaccaria, Bigoni, Noselli and Misseroni (2011)[4]<http://en.wikipedia.org/wiki/Buckling#cite_note-4>have shown that buckling and instability can also occur in elastic structures subject to dead tensile load. An example of a single-degree-of-freedom structure is shown in Fig. 1, where the critical load is also indicated. Another example involving flexure of a structure made up of beam elements governed by the equation of the Euler's elastica is shown in Fig.2. In both cases, there are no elements subject to compression. The instability and buckling in tension are related to the presence of the slider, the junction between the two rods, allowing only relative sliding between the connected pieces. Harry
