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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium

Giuliano Lazzaroni
University of Wuerzburg
Title: Quasistatic crack growth in finite elasticity

Abstract: 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.

References: G. Dal Maso and G.L. (2010), L. (2011)

Pdf File: LazzaroniGiuliano.pdf
Date: Thursday, February 23, 2012
Time: 2:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer