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X-ORIGINAL-URL:https://matematica.unipv.it/
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UID:MEC-e18cfe46b96c30852b565e561152d055@matematica.unipv.it
DTSTART:20210323T140000Z
DTEND:20210323T150000Z
DTSTAMP:20210303T115200Z
CREATED:20210303
LAST-MODIFIED:20210311
SUMMARY:$\Gamma$-convergence for free-discontinuity problems in linear elasticity
DESCRIPTION:$\Gamma$-convergence for free-discontinuity problems in linear elasticity\nAbstract. We analyze the $\Gamma$-convergence of sequences of free-discontinuity functionals arising in the modeling of linear elastic solids with surface discontinuities, including phenomena as fracture, damage, or material voids. We prove compactness with respect to Gamma-convergence and represent the $\Gamma$-limit in an integral form defined on the space of generalized special functions of bounded deformation ($GSBD^p$). We identify the integrands in terms of asymptotic cell formulas and prove a non-interaction property between bulk and surface contributions. In particular, our techniques allow to characterize relaxations of functionals on $GSBD^p$, and cover the classical case of periodic homogenization. Joint work with Matteo Perugini and Francesco Solombrino.\n
URL:https://matematica.unipv.it/events/gamma-convergence-for-free-discontinuity-problems/
ORGANIZER;CN=Manuel Friedrich (Universität Münster):MAILTO:
CATEGORIES:Seminari di matematica applicata
LOCATION:Online
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