On the contribution of Angelo Luongo to Mechanics: in honor of his 60th birthday

Abstract

This paper intends to summarize the scientific production of Angelo Luongo on the occasion of his Sixtieth Birthday, focusing on his main contributions in the field of Mechanics. The task will not be easy because of the breadth of his scientific production, only apparently attributable to a restricted number of keywords. In fact, even when the work seems purely algorithmic, speculation on the physical and mechanical aspects of the problem is always present, providing new interpretations and innovative openings to a careful reader. Similarly, also the works, which apparently seem to be high-level applications, always reserve methodological aspects that are not negligible. The editorial choice to divide his papers through a small number of keywords is certainly simplistic, but offers the possibility to better highlight all the connections among his variegated production. The most original contributions of Angelo Luongo in the context of perturbation methods, linear and nonlinear dynamics and control, elastic buckling and structural analysis, bifurcation and stability of non-conservative systems, are discussed in detail. Finally, the Angelo Luongo's central role in the creation and development of activities of the international research center M&MoCS is pointed out.

Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence

“…However, this model may have some drawbacks, at the beam model applicability is not assured when the diameter of the beams sections is comparable with the distance between two consecutive pivots. In this respect, we underline that the so-called GBTs (Generalized Beam Theories) may be of use (see e.g., [39,[51][52][53]) also for starting the study of dynamical behavior of pantographic sheets. Furthermore, these meso-models can be developed on the framework of the isogeometric analysis as in [11,12,29,30,82].…”

“…While such an approach is less challenging from a conceptual point of view, it shows formidable numerical difficulties, which need to be considered carefully. The perturbative analysis of 3D Cauchy continuum model to locate the regions of deformation concentration (see e.g., [14,40,41,51] and [9]) or to obtain reduced models (see e.g., [4,5,24,44,[78][79][80]) seems an important conceptual tool to be exploited in this context. For other types of fiber configurations, the symmetry analysis performed in [22,23,25] may be useful for construction of the 2D or 3D strain energy densities within the framework of the generalized models of continua with directors.…”

“Fast” and “slow” pressure waves electrically induced by nonlinear coupling in Biot-type porous medium saturated by a nematic liquid crystal

“…Due to the high porosity, the Biot model should probably be modified, see e.g. [50][51][52][53][54][55][56][57][58], by adding a correction term which takes into account the microstructural effect [48,[59][60][61][62][63][64]. Strain gradient models (see e.g.…”

Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations

“…These buckling phenomena are expected but not yet described in the literature together with their post-buckling evolution. We intend to systematically investigate these phenomena by means of the perturbative methods described in [83].…”