We show that solutions which create spherical voids are unstable relative to the formation of long, thin voids that point in the radial direction, for a large class of nonlinearly elastic materials. We compare sufficient conditions for the formation of such "filamentary voids" to criteria for crazing in glassy polymers.
Bibliographical noteFunding Information:
We wish to thank A. Gent and C. Plummer for their helpful remarks on cavitation and crazing. R.D.J. acknowledges the support of the National Science Foundation and the Air Force Office of Scientific Research through NSF/DMS-8718881. S.J.S. acknowledges the support of the Institute for Mathematics and its Applications, the National Science Foundation through NSF:DMS-8810653, and the Air Force Office of Scientific Research through AFOSR-880200.