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Dr. Giuliano Lazzaroni (University of Würzburg, Germany)
| Speaker: |
Dr. Giuliano Lazzaroni
(University of Würzburg, Germany)
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| Date: |
Wednesday July 13, 2011
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| Title: |
Quasistatic
crack
growth in finite elasticity
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Abstract
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We
present
a variational model for quasistatic evolutions of brittle
cracks in hyperelastic bodies, in the context of finite elasticity.
All existence results on this subject that can be found in the
mathematical literature were obtained using energy densities with
polynomial growth. This is not compatible with the standard assumption
in finite elasticity that the strain energy diverges as the determinant
of the deformation gradient tends to zero. On the contrary, we consider
a wide class of energy densities satisfying this property; moreover, we
take into account the non-interpenetration condition.
Joint work with G. Dal Maso
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