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SUMMARY:Onset of cavitation in compressible\, isotropic\, hyperelastic sol
 ids - Oscar Lopez-Pamies\, Department of Mechanical Engineering State Univ
 ersity of New York at Stony Brook
DTSTART:20081205T140000Z
DTEND:20081205T150000Z
UID:TALK14936@talks.cam.ac.uk
CONTACT:Ms Helen Gardner
DESCRIPTION:In this presentation\, we will discuss the derivation of a nov
 el closed-form criterion for the onset of cavitation in compressible\, iso
 tropic\, hyperelastic solids subjected to non- symmetric loading condition
 s. The criterion is based on the solution of a boundary value problem wher
 e a hyperelastic solid\, which is infinite in extent and contains a single
  vacuous inhomogeneity\, is subjected to uniform displacement boundary con
 ditions. By making use of a “linear-comparison” variational procedure\
 , we solve this problem approximately and generate variational estimates f
 or the critical stretches applied on the boundary at which the cavity sudd
 enly starts growing. The accuracy of the proposed analytical result will b
 e assessed by comparisons with exact solutions available from the literatu
 re for radially symmetric cavitation\, as well as with finite element simu
 lations. In addition\, applications will be presented for a variety of mat
 erials of practical and theoretical interest—including the harmonic\, Bl
 atz-Ko\, and compressible Neo-Hookean materials—which will provide new i
 nsight into the phenomenon of cavitation.
LOCATION:Oatley Seminar Room\, Department of Engineering
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