Quasistatic crack growth in finite elasticity

Details Quasistatic crack growth in finite elasticity Quasistatic crack growth in finite elasticity

2004-01-16

arxiv.org/abs/math/0401196v1

Mathematics

Analysis of PDEs

50 pages

Scientific paper

In this paper, we prove a new existence result for a variational model of
crack growth in brittle materials proposed in [15]. We consider the case of
$n$-dimensional finite elasticity, for an arbitrary $n\ge1$, with a quasiconvex
bulk energy and with prescribed boundary deformations and applied loads, both
depending on time.

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