In this paper, we present some applications of the multivariate sampling Kantorovich operators $S_w$ to seismic engineering. The mathematical theory these operators, both in space continuous functions and Orlicz spaces, show how it is possible approximate/reconstruct signals, such as images. particular, obtain for thermographic images a algorithm developed using MATLAB matrix calculus. setting spaces important since allow us reconstruct not necessarily signals by means $S_w$. reconstruction...

Abstract In this paper we derive and solve nonlocal elasticity a model describing the elastic behavior of composite materials, involving fractional Laplacian operator. dimension one consider in (($\mathcal{D}$)) case rod restrained at ends, completely problem showing existence unique weak solution providing natural sufficient conditions under which is actually classical problem. For also perform numerical simulations parametric analysis, order to highlight response rod, terms displacements...

The purpose of this paper is to illustrate a method for homogenizing masonry with nonperiodic microstructure.The proposed approach based on the concept representative volume element and finite-size test-window method.First, peculiarities as composite continuum are highlighted.Then, heterogeneity microstructure (elements texture) modeled by statistical descriptors.To improve classical probabilistic convergence criterion coupled well-known mechanical criterion.Both criteria must be met in...

In this paper the estimation of masonry characteristics by means thermographic images, enhanced sampling Kantorovich algorithm, is taken into account. particular, convergence Statistical Volume Element (SVE) to Representative (RVE) analyzed. It found that enhancement, obtained proposed procedure, allows a faster SVE RVE and reduced coefficient variation estimates using partition image with windows smaller dimensions. Moreover, effects uncertainties in parameters involved reconstruction...

This paper reports the main results of experimental approach used for identifying structural parameters and monitoring dynamic response to environmental loading Ponte delle Torri (Towers Bridge) in Spoleto, Italy. In particular, masonry wall drillings laboratory tests on cores obtained are described, together with endoscopic survey flat-jack aimed characterize mechanical characteristics. Then, focus is system, which constituted displacement transducers placed major cracks piers, seismic...

The article deals with the longitudinal waves in a nonlocal elastic rod. Regarding elasticity Eringeen model has been assumed; novelty is that this described terms of fractional Laplace operator. standing are obtained by numerical solutions differential equation one-dimensional continuum. results accordance ones reported literature and highlight dispersion phenomenon. effects contribution Laplacian order also analyzed.

Thermography is a non-destructive and non-contact technique allowing, without taking samples, gaining information about several aspects of heritage buildings. This contribution presents the last phase research path, started with laboratory tests now aimed at real case great cultural value, which involved use thermal imaging camera to unveil in-depth defects wall texture, hidden by valuable plasters or frescoes, in order correlate quality masonry its mechanical properties. For this, method...

In this paper, an innovative strengthening system for masonry walls made of externally bonded Fabric-Reinforced Cementitious Matrix (FRCM) is presented. Due to the good mechanical properties and compatibility with architectural heritage, FRCM adequate alternative use Fiber-Reinforced Polymer (FRP) composites other traditional techniques. The proposed applied a classical typology in cultural heritage architecture, which “in falso” masonry: load-bearing wall built over vault, hence without...

<abstract><p>In the present paper we propose a model describing nonlocal behavior of an elastic body using peridynamical approach. Indeed, peridynamics is suitable framework for problems where discontinuities appear naturally, such as fractures, dislocations, or, in general, multiscale materials. In particular, regional fractional Laplacian used operator. Moreover, combination and classical operators to obtain better description phenomenological response elasticity. We consider...