Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Almi, Stefano"'
We derive a strain-gradient theory for plasticity as the $\Gamma$-limit of discrete dislocation fractional energies, without the introduction of a core-radius. By using the finite horizon fractional gradient introduced by Bellido, Cueto, and Mora-Cor
Externí odkaz:
http://arxiv.org/abs/2406.08023
We derive a first order optimality condition for a class of agent-based systems, as well as for their mean-field counterpart. A relevant difficulty of our analysis is that the state equation is formulated on possibly infinite-dimensional convex subse
Externí odkaz:
http://arxiv.org/abs/2402.13680
Starting from a model of nonlinear magnetoelasticity where magnetization is defined in the Eulerian configuration while elastic deformation is in the Lagrangean one, we rigorously derive a linearized model that coincides with the standard one that al
Externí odkaz:
http://arxiv.org/abs/2401.09586
We derive a quantitative rigidity estimate for a multi-well problem in nonlinear elasticity with dislocations. Precisely, we show that the $L^{1^{*}}$-distance of a possibly incompatible strain field $\beta$ from a single well is controlled in terms
Externí odkaz:
http://arxiv.org/abs/2311.00438
We present a new example for the Lavrentiev phenomenon in context of nonlinear elasticity, caused by an interplay of the elastic energy's resistance to infinite compression and the Ciarlet-Ne\v{c}as condition, a constraint preventing global interpene
Externí odkaz:
http://arxiv.org/abs/2309.08288
Autor:
Almi, Stefano, Stefanelli, Ulisse
Progresses in additive manufacturing technologies allow the realization of finely graded microstructured materials with tunable mechanical properties. This paves the way to a wealth of innovative applications, calling for the combined design of the m
Externí odkaz:
http://arxiv.org/abs/2307.03471
We present extensions of rigidity estimates and of Korn's inequality to the setting of (mixed) variable exponents growth. The proof techniques, based on a classical covering argument, rely on the log-H\"older continuity of the exponent to get uniform
Externí odkaz:
http://arxiv.org/abs/2305.00740
Autor:
Almi, Stefano, Tasso, Emanuele
We introduce a new space of generalized functions of bounded deformation $GBD_{F}$, made of functions u whose one-dimensional slice $u(\gamma) \cdot \dot{\gamma}$ has bounded variation in a generalized sense for all curves $\gamma$ solution of the se
Externí odkaz:
http://arxiv.org/abs/2304.11372
Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one interacting with the first. Diffusive terms accounting for randomness
Externí odkaz:
http://arxiv.org/abs/2303.04877
A lower semicontinuity result and a relaxation formula for free discontinuity functionals with non-standard growth in the bulk energy are provided. Our analysis is based on a non-trivial adaptation of the blow-up (Ambrosio 1994) and of the global met
Externí odkaz:
http://arxiv.org/abs/2301.07406