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Bridging the Gaps Obersminar Analysis: Manuel Friedrich (WWU): Gamma-convergence for free-discontinuity problems in linear elasticity

Wednesday, 05.05.2021 12:00 per ZOOM: Link to Zoom info

Mathematik und Informatik

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.



Angelegt am Friday, 16.04.2021 14:16 von sthrom
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