21 citations · 44 across the 13 of their papers we have counts for
5 papers · 2 filters
-convergence for free-discontinuity problems in linear elasticity: Homogenization and relaxation
Manuel Friedrich, Matteo Perugini, Francesco Solombrino
We analyze the -convergence of sequences of free-discontinuity functionals arising in the modeling of linear elastic solids with surface discontinuities, including phenomena as…
Two-well linearization for solid-solid phase transitions
Elisa Davoli, Manuel Friedrich
In this paper we consider nonlinearly elastic, frame-indifferent, and singularly perturbed two-well models for materials undergoing solid-solid phase transitions in any space dimen…
Integral representation for energies in linear elasticity with surface discontinuities
Vito Crismale, Manuel Friedrich, Francesco Solombrino
In this paper we prove an integral representation formula for a general class of energies defined on the space of generalized special functions of bounded deformation () in…
Equilibrium of immersed hyperelastic solids
Manuel Friedrich, Martin Kružík, Ulisse Stefanelli
We discuss different equilibrium problems for hyperelastic solids immersed in a fluid at rest. In particular, solids are subjected to gravity and hydrostatic pressure on their imme…
Lower semicontinuity for functionals defined on piecewise rigid functions and on
Manuel Friedrich, Matteo Perugini, Francesco Solombrino
In this work, we provide a characterization result for lower semicontinuity of surface energies defined on piecewise rigid functions, i.e., functions which are piecewise affine on…