1,721,674 research outputs found

    A Remark on the Junction in a Thin Multi-Domain: the Non Convex Case

    No full text
    Our aim consists of studying, in the spirit of Gamma convergence, a dimension reduction problem for a multi-domain filled of either an hyperelastic material or a non simple grade-two one. We derive asymptotically the limit energy density starting from a sample described trough non convex bulk energy densities, depending either on the first or second order derivative of the displacement

    Some sufficient conditions for lower semicontinuity in SBD

    No full text
    Vengono dimostrati alcuni risultati di semicontinuità in SBD per integrali di tipo ellittico e sotto un vincolo di non compenetrazione

    Homogenization of Gradient constrained Problems with respect to periodic Measures

    No full text
    We study the asymptotic behavior of solutions of minimization problems of integral functionals with integrands satisfying p-growth conditions, with respect to constraints that are imposed on gradients of admissible functions on a periodic disperse set and with respect to periodic measures that are assumed to be nondegenerate and satisfying the Poincar ́e inequality

    A lower semicontinuity result in SBD

    No full text
    A lower semicontinuity result is proved in the space of special functions of bounded deformation for a fracture energetic model according to Barenblatt’s theory, i.e. int_{J_u}arphi([u]cdot u) d mathcal H^{N-1} ; [u]cdot u geq 0 hbox{ a.e. on }J_u $

    A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case

    Full text link
    We present a sufficient condition ensuring lower semicontinuity for nonlocal supremal functionals of the type W 1,'(?; Rd) u I? ess sup W(x, y, Vu(x), Vu(y)), (x,y)E?x? where ? is a bounded open subset of RN and W: ? x ? x RdxN x RdxN ? R

    The Energy Density of Non Simple Grade Two Materials Thin Films via a Young Measure Approach.

    No full text
    Tecniche di riduzione dimensionale vengono adoperate al fine di descrivere l'energia di film sottili costituiti da materiali nonsemplici di grado due. Il rilassamento e la GammaGamma-convergenza conducono ad un limite definito su un opportuno spazio di misure di Young bidimensionali. La 'deformazione' relativa al modello limite è consistente con la teoria di Cosserat

    A Cantorian Potential Theory for Describing Dynamical Systems on El Nashie's space-time.

    No full text
    In this paper we analyze classical systems, in which motion is not on a classical continuous path, but rather on a Cantorian one. Starting from El Naschies space–time we introduce a mathematical approach based on a potential to describe the interaction system-support. We study some relevant force fields on Cantorian space and analyze the differences with respect to the analogous case on a continuum in the context of Lagrangian formulation. Here we confirm the idea proposed by the first author in dynamical systems on El Naschie's Cantorian space–time that a Cantorian space could explain some relevant stochastic and quantum processes, if the space acts as an harmonic oscillating support, such as that found in Nature. This means that a quantum process could sometimes be explained as a classical one, but on a nondifferential and discontinuous support. We consider the validity of this point of view, that in principle could be more realistic, because it describes the real nature of matter and space. These do not exist in Euclidean space or curved Riemanian space–time, but in a Cantorian one. The consequence of this point of view could be extended in many fields such as biomathematics, structural engineering, physics, astronomy, biology and so on
    corecore