 |
Universität Augsburg
|
|
|
Universität Augsburg
|
|
Antonio Donnarumma
Universität Augsburg
spricht am
Donnerstag, 23. April 2026
um
15:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| We study the effective behavior of heterogeneous energies arising in the modeling of material voids in geometrically linear elastic materials. Specifically, we consider functionals featuring bulk terms depending on the symmetrized gradient of the displacement and terms comparable to the surface area of the material voids inside the material. Under suitable growth conditions for the bulk and surface densities we prove that, as the microscale ε tends to zero, the Gamma-limit admits an integral representation that contains an additional surface term expressed by jump discontinuities of the displacement outside of the void region. This term is related to the phenomenon of collapsing of voids in the effective limit. Under a continuity assumption of the surface density at the ε-scale, we show that the limiting density related to jumps is twice the energy density for voids. This talk is based on joint work with Stefano Almi (University of Naples) and Manuel Friedrich (JKU Linz). |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Bernd Schmidt |