Zobrazeno 1 - 10
of 546
pro vyhledávání: '"Percivale, P."'
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 with the expected one only in some particular cases.
Externí odkaz:
http://arxiv.org/abs/2407.20137
Autor:
Mainini, Edoardo, Percivale, Danilo
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 nonhomogeneous case under a natural growth assumption on the forcing
Externí odkaz:
http://arxiv.org/abs/2305.00731
Autor:
Mainini, Edoardo, Percivale, Danilo
Publikováno v:
Advances in Continuous and Discrete Models (2023), 20:2023
We show that the solution of the Cauchy problem for the classical ode $m \mathbf y''=\mathbf f$ can be obtained as limit of minimizers of exponentially weighted convex variational integrals. This complements the known results about weighted inertia-e
Externí odkaz:
http://arxiv.org/abs/2304.15007
Publikováno v:
Mathematics in Engineering, Vol 6, Iss 2, Pp 261-304 (2024)
An energy functional for the obstacle problem in linear elasticity is obtained as a variational limit of nonlinear elastic energy functionals describing a material body subject to pure traction load under a unilateral constraint representing the rigi
Externí odkaz:
https://doaj.org/article/0897bd8cb4174c74be3cb4ac58c904b3
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 average curl for admissible deformation maps. When suitable rotations are i
Externí odkaz:
http://arxiv.org/abs/2110.04333
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 reinforcement is assumed to be linear elastic outside possible free plast
Externí odkaz:
http://arxiv.org/abs/2105.05077
Autor:
Mainini, Edoardo, Percivale, Danilo
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 elastic energies. We show that the limiting minimal value can be strict
Externí odkaz:
http://arxiv.org/abs/2012.10666
Autor:
Mainini, Edoardo, Percivale, Danilo
We consider pure traction problems and we show that incompressible linearized elasticity can be obtained as variational limit of incompressible finite elasticity under suitable conditions on external loads.
Externí odkaz:
http://arxiv.org/abs/2005.14697
Autor:
Mainini, Edoardo, Percivale, Danilo
We obtain linear elasticity as $\Gamma$-limit of finite elasticity under incompressibility assumption and Dirichlet boundary conditions. The result is shown for a large class of energy densities for rubber-like materials.
Externí odkaz:
http://arxiv.org/abs/2004.09286
We study an old variational problem formulated by Euler as Proposition 53 of his `Scientia Navalis' by means of the direct method of the calculus of variations. Precisely, through relaxation arguments, we prove the existence of minimizers. We fully i
Externí odkaz:
http://arxiv.org/abs/1904.07028