19 citations · 61 across the 21 of their papers we have counts for
5 papers · 2 filters
Sharp conditions for the linearization of finite elasticity
Edoardo Mainini, Danilo Percivale
We consider the topic of linearization of finite elasticity for pure traction problems. We characterize the variational limit for the approximating sequence of rescaled nonlinear e…
Variational linearization of pure traction problems in incompressible elasticity
Edoardo Mainini, Danilo Percivale
We consider pure traction problems and we show that incompressible linearized elasticity can be obtained as variational limit of incompressible finite elasticity under suitable con…
Equilibrium for multiphase solids with Eulerian interfaces
Diego Grandi, Martin Kružík, Edoardo Mainini +1
We describe a general phase-field model for hyperelastic multiphase materials. The model features an elastic energy functional that depends on the phase-field variable and a surfac…
Linearization of elasticity models for incompressible materials
Edoardo Mainini, Danilo Percivale
We obtain linear elasticity as -limit of finite elasticity under incompressibility assumption and Dirichlet boundary conditions. The result is shown for a large class of energy…
Uniqueness of entire ground states for the fractional plasma problem
Hardy Chan, María del Mar González, Yanghong Huang +2
We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground states, to some semilinear fractional elliptic equations. In particular, we treat th…