On energy changes due to the formation of a circular hole in an elastic plate

Author: Kienzler R.   Fischer F.   Fratzl P.  

Publisher: Springer Publishing Company

ISSN: 0939-1533

Source: Archive of Applied Mechanics, Vol.76, Iss.11-12, 2006-12, pp. : 681-697

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Abstract

The appearance of holes in crystals, developed in stressed biological structures, has motivated us to study the energy release of an initially undisturbed plate subjected to a biaxial stress state which is disturbed by a growing hole. An energy balance allows for a kinetic equation of the hole radius a</i>. The main emphasis is placed on the calculation of the total mechanical energy-release rate by different independent concepts. Specifically, path-independent integrals represent the most convenient approach.