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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…
Euler's optimal profile problem
Francesco Maddalena, Edoardo Mainini, Danilo Percivale
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…
A new variational approach to linearization of traction problems in elasticity
Francesco Maddalena, Danilo Percivale, Franco Tomarelli
A new energy functional for pure traction problems in elasticity has been deduced in [23] as the variational limit of nonlinear elastic energy functional for a material body subjec…
The minimal resistance problem in a class of non convex bodies
Edoardo Mainini, Manuel Monteverde, Edouard Oudet +1
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave profiles. We also give the corresponding result for one-dimensional profiles. M…