| Abstract: |
| The theory of structured deformations shows good potential to deal with mechanical problems where multiple scales and fractures are present. Mathematically, it amounts to relaxing a given energy functional and to show also the relaxed one has an integral representation.
In this seminar, I will focus on a problem for thin objects: the derivation of a 2D relaxed energy via dimension reduction from a 3D energy, incorporating structured deformations in the relaxation procedure.
I will discuss the two-step relaxation (first dimension reduction, then structured deformations and vice-versa) and I will compare it with another result in which the two relaxation procedures are carried out simultaneously.
An explicit example for purely interfacial initial energies will complete the presentation. |
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