41 citations · 79 across the 10 of their papers we have counts for
14 papers
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…
On the weighted inertia-energy approach to forced wave equations
Edoardo Mainini, Danilo Percivale
We show convergence of minimizers of weighted inertia-energy functionals to solutions of initial value problems for a class of nonlinear wave equations. The result is given for the…
Newton's second law as limit of variational problems
Edoardo Mainini, Danilo Percivale
We show that the solution of the Cauchy problem for the classical ode can be obtained as limit of minimizers of exponentially weighted convex variational…
Asymptotic behavior of constrained local minimizers in finite elasticity
Edoardo Mainini, Roberto Ognibene, Danilo Percivale
We provide an approximation result for the pure traction problem of linearized elasticity in terms of local minimizers of finite elasticity, under the constraint of vanishing avera…
Elastic-brittle reinforcement of flexural structures
Francesco Maddalena, Danilo Percivale, Franco Tomarelli
This note provides a variational description of the mechanical effects of flexural stiffening of a 2D plate glued to an elastic-brittle or an elastic-plastic reinforcement. The rei…
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…