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math-ph2024
Limit of nonlinear Signorini problems for incompressible materials
Edoardo Mainini, Danilo Percivale, Robertus van der Putten
The paper is devoted to the linearization of the non linear Signorini functional in the incompressible case. The limit functional, in the sense of Gamma-convergence, may coincide w…
math-ph2020★ 6 cited
Maximal fluctuations around the Wulff shape for edge-isoperimetric sets in : a sharp scaling law
Edoardo Mainini, Bernd Schmidt
We derive a sharp scaling law for deviations of edge-isoperimetric sets in the lattice from the limiting Wulff shape in arbitrary dimensions. As the number of ele…
math-ph2018★ 19 cited
A phase-field approach to Eulerian interfacial energies
Diego Grandi, Martin Kruzik, Edoardo Mainini +1
We analyze a phase-field approximation of a sharp-interface model for two- phase materials proposed by M. Silhavy [32, 33]. The distinguishing trait of the model resides in the fac…