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Dr. Giancarlo Consolo
Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, 98166 Messina, Italy

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Research Keywords & Expertise

0 Mathematical modelling of magnetization and spin-wave dynamics
0 Magnetoelasticity and magnetostriction
0 Domain-wall dynamics
0 Spin-wave pattern formation and stability
0 Magnetization dynamics in confined and unconfined systems

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Magnetization dynamics in confined and unconfined systems
Domain-wall dynamics

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Journal article
Published: 17 June 2021 in Actuators
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A theory of voltage-induced control of magnetic domain walls propagating along the major axis of a magnetostrictive nanostrip, tightly coupled with a ceramic piezoelectric, is developed in the framework of the Landau–Lifshitz–Gilbert equation. It is assumed that the strains undergone by the piezoelectric actuator, subject to an electric field generated by a dc bias voltage applied through a couple of lateral electrodes, are fully transferred to the magnetostrictive layer. Taking into account these piezo-induced strains and considering a magnetostrictive linear elastic material belonging to the cubic crystal class, the magnetoelastic field is analytically determined. Therefore, by using the classical traveling-wave formalism, the explicit expressions of the most important features characterizing the two dynamical regimes of domain-wall propagation have been deduced, and their dependence on the electric field strength has been highlighted. Moreover, some strategies to optimize such a voltage-induced control, based on the choice of the ceramic piezoelectric material and the orientation of dielectric poling and electric field with respect to the reference axes, have been proposed.

ACS Style

Giancarlo Consolo; Giovanna Valenti. Optimized Voltage-Induced Control of Magnetic Domain-Wall Propagation in Hybrid Piezoelectric/Magnetostrictive Devices. Actuators 2021, 10, 134 .

AMA Style

Giancarlo Consolo, Giovanna Valenti. Optimized Voltage-Induced Control of Magnetic Domain-Wall Propagation in Hybrid Piezoelectric/Magnetostrictive Devices. Actuators. 2021; 10 (6):134.

Chicago/Turabian Style

Giancarlo Consolo; Giovanna Valenti. 2021. "Optimized Voltage-Induced Control of Magnetic Domain-Wall Propagation in Hybrid Piezoelectric/Magnetostrictive Devices." Actuators 10, no. 6: 134.

Article
Published: 22 April 2021 in Physical Review B
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A theory of electrically controlled THz-frequency auto-oscillator, based on a trilayer heterostructure comprised of piezoelectric (PZ) ceramics, an NiO-based antiferromagnet, and a heavy metal (HM), is developed in the framework of the well-established antiferromagnetic (AFM) sigma model. It is assumed that the magnetostrictive antiferromagnet is monocrystalline and monodomain, and has mixed biaxial and cubic anisotropy. The frequency of the antiferromagnetic resonance (AFMR) of the heterostructure in a passive subcritical regime is calculated as a function of the following parameters: the choice of the ceramic PZ material and of its poling direction, modulus and orientation of the static electric field applied to the PZ layer, and the magnitude of the driving electric current injected into the HM layer. It is shown that the AFMR frequency of the heterostructure and the threshold value of the driving current for THz-frequency generation depend on the total AFM anisotropy, which can be substantially reduced by the bias electric field in the case when this field is collinear to the PZ poling direction. It is also shown that the variation of the PZ poling direction in respect to the bias electric field provides an additional degree of freedom that can be used to optimize the performance of AFM-based generators and detectors of THz-frequency signals.

ACS Style

G. Consolo; G. Valenti; A. R. Safin; S. A. Nikitov; V. Tyberkevich; A. Slavin. Theory of the electric field controlled antiferromagnetic spin Hall oscillator and detector. Physical Review B 2021, 103, 134431 .

AMA Style

G. Consolo, G. Valenti, A. R. Safin, S. A. Nikitov, V. Tyberkevich, A. Slavin. Theory of the electric field controlled antiferromagnetic spin Hall oscillator and detector. Physical Review B. 2021; 103 (13):134431.

Chicago/Turabian Style

G. Consolo; G. Valenti; A. R. Safin; S. A. Nikitov; V. Tyberkevich; A. Slavin. 2021. "Theory of the electric field controlled antiferromagnetic spin Hall oscillator and detector." Physical Review B 103, no. 13: 134431.

Journal article
Published: 20 February 2021 in Sustainability
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The European Directive on Safety and Health at Work and the following normatives have the scope to provide high levels of health and safety at work, based on some general principles managing activities and including the risk assessment to continuously improve processes and workplaces. However, the working area changes and brings new risks and challenges for workers. Several of them are associated with new technologies, which determine complex human–machine interactions, leading to an increased mental and emotional strain. To reduce these emerging risks, their understanding and assessment are important. Although great efforts have already been made, there is still a lack of conceptual frameworks for analytically assessing human–machine interaction. This paper proposes a systematic approach that, beyond including the classification in domains to explain the complexity of the human–machine interaction, accounts for the information processing of the human brain. Its validation is shown in a major accident hazard industry where a smart safety device supporting crane related operations is used. The investigation is based on the construction of a questionnaire for the collection of answers about the feeling of crane operators when using the device and the evaluation of the Cronbach's alpha to measure of the reliability of the assessment.

ACS Style

Maria Milazzo; Giuseppa Ancione; Giancarlo Consolo. Human Factors Modelling Approach: Application to a Safety Device Supporting Crane Operations in Major Hazard Industries. Sustainability 2021, 13, 2304 .

AMA Style

Maria Milazzo, Giuseppa Ancione, Giancarlo Consolo. Human Factors Modelling Approach: Application to a Safety Device Supporting Crane Operations in Major Hazard Industries. Sustainability. 2021; 13 (4):2304.

Chicago/Turabian Style

Maria Milazzo; Giuseppa Ancione; Giancarlo Consolo. 2021. "Human Factors Modelling Approach: Application to a Safety Device Supporting Crane Operations in Major Hazard Industries." Sustainability 13, no. 4: 2304.

Journal article
Published: 23 August 2020 in Ecological Modelling
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The Strait of Messina (Sicily, Italy) attracts the interest of marine ecologists for the presence of a large variety of habitat and mutually-interacting communities. Among them, beachrock formations, despite their wide geographic distribution, which also includes the Mediterranean area, have been poorly investigated from the biotic viewpoint. In this paper, the spatial and seasonal variability of benthic megafauna from the Messina microtidal beachrock is described. Combining in situ collected data (measurements of abiotic parameters and underwater visual census) with theoretical post-processing analyses (analysis of similarity percentages and cluster analysis), we deduced the possibility to model the dynamics observed between the most dominant species, a top snail, Phorcus turbinatus (Born, 1778), and a hermit crab, Clibanarius erythropus (Latreille, 1818), in terms of a prey-predator interaction. These species gave rise to different intriguing dynamical regimes (including periodic oscillations) that were qualitatively captured by a mathematical model focused on the respective trophic chain levels. The identification of all model parameters and the use of numerical simulations complemented the above analysis and allowed to gain more insights into the complex dynamics of these oligotypic communities and on the most relevant factors determining the ecosystem equilibria.

ACS Style

S. Savoca; G. Grifó; G. Panarello; M. Albano; S. Giacobbe; G. Capillo; N. Spanó; G. Consolo. Modelling prey-predator interactions in Messina beachrock pools. Ecological Modelling 2020, 434, 109206 .

AMA Style

S. Savoca, G. Grifó, G. Panarello, M. Albano, S. Giacobbe, G. Capillo, N. Spanó, G. Consolo. Modelling prey-predator interactions in Messina beachrock pools. Ecological Modelling. 2020; 434 ():109206.

Chicago/Turabian Style

S. Savoca; G. Grifó; G. Panarello; M. Albano; S. Giacobbe; G. Capillo; N. Spanó; G. Consolo. 2020. "Modelling prey-predator interactions in Messina beachrock pools." Ecological Modelling 434, no. : 109206.

Special issue paper
Published: 21 June 2020 in Mathematical Methods in the Applied Sciences
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The formation of Turing vegetation patterns in flat arid environments is investigated in the framework of a generalized version of the hyperbolic Klausmeier model. The extensions here considered involve, on the one hand, the strength of the rate at which rainfall water enters into the soil and, on the other hand, the functional dependence of the inertial times on vegetation biomass and soil water. The study aims at elucidating how the inclusion of these generalized quantities affects the onset of bifurcation of supercritical Turing patterns as well as the transient dynamics observed from an uniformly vegetated state towards a patterned state. To achieve these goals, linear and multiple‐scales weakly nonlinear stability analysis are addressed, this latter being inspected in both large and small spatial domains. Analytical results are then corroborated by numerical simulations, which also serve to describe more deeply the spatio‐temporal evolution of the emerging patterns as well as to characterize the different timescales involved in vegetation dynamics.

ACS Style

Giancarlo Consolo; Carmela Currò; Giovanna Valenti. Turing vegetation patterns in a generalized hyperbolic Klausmeier model. Mathematical Methods in the Applied Sciences 2020, 43, 10474 -10489.

AMA Style

Giancarlo Consolo, Carmela Currò, Giovanna Valenti. Turing vegetation patterns in a generalized hyperbolic Klausmeier model. Mathematical Methods in the Applied Sciences. 2020; 43 (18):10474-10489.

Chicago/Turabian Style

Giancarlo Consolo; Carmela Currò; Giovanna Valenti. 2020. "Turing vegetation patterns in a generalized hyperbolic Klausmeier model." Mathematical Methods in the Applied Sciences 43, no. 18: 10474-10489.

Journal article
Published: 24 February 2020 in Applied Mathematical Modelling
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In this article, we investigate the static and dynamic properties of transverse Bloch domain wall in an isotropic, linearly elastic bilayer piezoelectric-magnetostrictive nanostructures under the influence of axial (driving), transverse magnetic fields and spin-polarized electric current. To be precise, we perform the analysis under the framework of the one-dimensional Extended Landau–Lifshitz–Gilbert equation in the presence of stresses generated by a piezoelectric actuator. First, we derive the magnetization profile in the two distant domains and then study the static magnetization profile in the sole presence of the applied transverse magnetic field. Next, we propose a new Walker’s type trial function and establish the analytical expressions of the dynamical quantities such as moving DW profile, velocity, displacement, and excitation angle by using a small angle approximation approach. Finally, we delineate the obtained analytical results with the aid of numerical illustrations.

ACS Style

Sharad Dwivedi; Yenshembam Priyobarta Singh; Giancarlo Consolo. On the statics and dynamics of transverse domain walls in bilayer piezoelectric-magnetostrictive nanostructures. Applied Mathematical Modelling 2020, 83, 13 -29.

AMA Style

Sharad Dwivedi, Yenshembam Priyobarta Singh, Giancarlo Consolo. On the statics and dynamics of transverse domain walls in bilayer piezoelectric-magnetostrictive nanostructures. Applied Mathematical Modelling. 2020; 83 ():13-29.

Chicago/Turabian Style

Sharad Dwivedi; Yenshembam Priyobarta Singh; Giancarlo Consolo. 2020. "On the statics and dynamics of transverse domain walls in bilayer piezoelectric-magnetostrictive nanostructures." Applied Mathematical Modelling 83, no. : 13-29.

Article
Published: 31 January 2020 in Ricerche di Matematica
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The role played by magnetoelastic effects on the properties exhibited by magnetic domain walls propagating along the major axis of a thin magnetostrictive nanostrip, coupled mechanically with a thick piezoelectric actuator, is theoretically investigated. The magnetostrictive layer is assumed to be a linear elastic material belonging to the cubic crystal classes \(\bar{4}\)3m, 432 and m\(\bar{3}\)m and to undergo isochoric magnetostrictive deformations. The analysis is carried out in the framework of the extended Landau–Lifshitz–Gilbert equation, which allows to describe, at the mesoscale, the spatio-temporal evolution of the local magnetization vector driven by magnetic fields and electric currents, in the presence of magnetoelastic and magnetocrystalline anisotropy fields. Through the traveling-wave transformation, the explicit expression of the key features involved in both steady and precessional regimes is provided and a qualitative comparison with data from the literature is also presented.

ACS Style

G. Consolo; S. Federico; G. Valenti. Strain-mediated propagation of magnetic domain-walls in cubic magnetostrictive materials. Ricerche di Matematica 2020, 70, 81 -97.

AMA Style

G. Consolo, S. Federico, G. Valenti. Strain-mediated propagation of magnetic domain-walls in cubic magnetostrictive materials. Ricerche di Matematica. 2020; 70 (1):81-97.

Chicago/Turabian Style

G. Consolo; S. Federico; G. Valenti. 2020. "Strain-mediated propagation of magnetic domain-walls in cubic magnetostrictive materials." Ricerche di Matematica 70, no. 1: 81-97.

Article
Published: 06 January 2020 in Physical Review B
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The simultaneous occurrence of direct and inverse magnetostriction in transversely isotropic hexagonal crystal is theoretically investigated. Particular emphasis is here given to the need of identifying the fourth-order magnetostriction tensor, as it represents the most primitive object from which all related physical quantities of interest in micromagnetism are deduced. For hexagonal crystals, the magnetostriction tensor is expressed in terms of six independent magnetostrictive coefficients whose values are, so far, unknown. Indeed, the existing literature provides just four independent constraints that are extracted from the expression of the differential scalar strain in a given direction. In this work, the two extra conditions required to solve this identification problem are obtained by deducing the explicit functional dependence of the main features characterizing the motion of a magnetic domain wall along the major axis of a thin magnetostrictive nanostrip placed on the top of a thick piezoelectric actuator. The results of our analysis reveal that such two conditions may be associated to the effective anisotropy coefficient and the domain-wall width. To validate our proposal, a comparison with some recent experimental results is also successfully addressed.

ACS Style

Giancarlo Consolo; Salvatore Federico; Giovanna Valenti. Magnetostriction in transversely isotropic hexagonal crystals. Physical Review B 2020, 101, 014405 .

AMA Style

Giancarlo Consolo, Salvatore Federico, Giovanna Valenti. Magnetostriction in transversely isotropic hexagonal crystals. Physical Review B. 2020; 101 (1):014405.

Chicago/Turabian Style

Giancarlo Consolo; Salvatore Federico; Giovanna Valenti. 2020. "Magnetostriction in transversely isotropic hexagonal crystals." Physical Review B 101, no. 1: 014405.

Journal article
Published: 24 April 2019 in Ecological Modelling
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The effects of secondary seed dispersal on the dynamics of banded vegetation are investigated in the framework of a generalized version of one of the easiest tools for the description of pattern formation along the hillsides of semi-arid environments: the Klausmeier model. The generalization here considered consists in augmenting the evolution equation for the vegetation biomass with an advection term mimicking the anisotropic dispersal of seeds by overland flow. Linear stability analysis is used to deduce the threshold condition for the occurrence of wave instability as well as to obtain approximated explicit expressions for some key quantities: pattern speed, locus of stationary patterns and excited wavenumber. The generalized model is also integrated numerically considering two different sets of initial conditions that yield pattern dynamics originating from degradation of uniform vegetation or colonization of bare ground. These numerical simulations are performed to corroborate the analytical predictions, to characterize more deeply the propagating character of the edges of vegetation patches and to emphasize how distinct initial conditions may lead to significantly different ecological scenarios.

ACS Style

Giancarlo Consolo; Giovanna Valenti. Secondary seed dispersal in the Klausmeier model of vegetation for sloped semi-arid environments. Ecological Modelling 2019, 402, 66 -75.

AMA Style

Giancarlo Consolo, Giovanna Valenti. Secondary seed dispersal in the Klausmeier model of vegetation for sloped semi-arid environments. Ecological Modelling. 2019; 402 ():66-75.

Chicago/Turabian Style

Giancarlo Consolo; Giovanna Valenti. 2019. "Secondary seed dispersal in the Klausmeier model of vegetation for sloped semi-arid environments." Ecological Modelling 402, no. : 66-75.

Journal article
Published: 26 March 2019 in Physica D: Nonlinear Phenomena
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Patterned vegetation dynamics in flat arid environments are investigated in the framework of a hyperbolic modified Klausmeier model. In particular, this study aims at elucidating how the properties exhibited by supercritical and subcritical patterns during the transient regime are affected by the inertial times. The present work encloses linear stability analysis to deduce the threshold condition for Turing pattern formation and weakly nonlinear analysis to describe the time evolution of the pattern amplitude close to the instability threshold. In our analysis, we consider the case in which the emerging patterns do not have any spatial structure, as it is typically assumed in small domains, as well as the scenario in which patterns form sequentially and propagate over a large domain in the form of a traveling wavefront. The hyperbolic model is also integrated numerically to validate the analytical predictions and to characterize more deeply the spatio-temporal evolution of vegetation patterns in both supercritical and subcritical regime.

ACS Style

Giancarlo Consolo; Carmela Currò; Giovanna Valenti. Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments. Physica D: Nonlinear Phenomena 2019, 398, 141 -163.

AMA Style

Giancarlo Consolo, Carmela Currò, Giovanna Valenti. Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments. Physica D: Nonlinear Phenomena. 2019; 398 ():141-163.

Chicago/Turabian Style

Giancarlo Consolo; Carmela Currò; Giovanna Valenti. 2019. "Supercritical and subcritical Turing pattern formation in a hyperbolic vegetation model for flat arid environments." Physica D: Nonlinear Phenomena 398, no. : 141-163.

Research article
Published: 20 July 2018 in Mathematics and Mechanics of Solids
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A systematic representation of the fourth-order magnetostriction tensor for all crystal classes is presented, based on the formalism proposed by Walpole ( Proc R Soc Lond Ser A 1984; 391: 149–179). This representation allows the general, unconstrained case, as well as the case in which the magnetostrictive strain is assumed to be isochoric, to be studied. The knowledge of the fourth-order magnetostriction tensor enables the stress-free magnetostrictive strain tensor as well as the scalar strain in a given direction to be calculated.

ACS Style

Salvatore Federico; Giancarlo Consolo; Giovanna Valenti. Tensor representation of magnetostriction for all crystal classes. Mathematics and Mechanics of Solids 2018, 24, 2814 -2843.

AMA Style

Salvatore Federico, Giancarlo Consolo, Giovanna Valenti. Tensor representation of magnetostriction for all crystal classes. Mathematics and Mechanics of Solids. 2018; 24 (9):2814-2843.

Chicago/Turabian Style

Salvatore Federico; Giancarlo Consolo; Giovanna Valenti. 2018. "Tensor representation of magnetostriction for all crystal classes." Mathematics and Mechanics of Solids 24, no. 9: 2814-2843.

Article
Published: 27 February 2018 in Ricerche di Matematica
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The one-dimensional motion of magnetic domain walls in a thin ferromagnetic nanostrip sandwiched between a heavy metal and a metal oxide is investigated analytically in the framework of the extended Landau–Lifshitz–Gilbert equation. The trilayer system under investigation exhibits structural inversion asymmetry and exploits the combined effects of spin-transfer-torque and spin-orbit-torque to optimize the domain-wall propagation along the nanostrip. Through the traveling-wave formalism, an explicit expression for the key features involved in both steady and precessional regimes is provided, with a particular emphasis on the role played by the two spin-orbit-torque contributions, Rashba and Spin-Hall. In particular, it is shown how the domain-wall velocity and mobility, the direction of propagation, the depinning threshold and the Walker breakdown can be controlled via a suitable combination of Rashba and Spin-Hall coefficients. A comparison between analytical results and numerical data extracted from literature is also addressed revealing a qualitative agreement between them. Additional information on spin-orbit-torque-driven DW dynamics is extracted from such an analysis and, in particular, a linear dependence between the spin-Hall angle and the azimuthal angle is outlined as a possible mechanism responsible for the reversal of propagation direction.

ACS Style

Giancarlo Consolo. Modeling magnetic domain-wall evolution in trilayers with structural inversion asymmetry. Ricerche di Matematica 2018, 67, 1001 -1015.

AMA Style

Giancarlo Consolo. Modeling magnetic domain-wall evolution in trilayers with structural inversion asymmetry. Ricerche di Matematica. 2018; 67 (2):1001-1015.

Chicago/Turabian Style

Giancarlo Consolo. 2018. "Modeling magnetic domain-wall evolution in trilayers with structural inversion asymmetry." Ricerche di Matematica 67, no. 2: 1001-1015.

Journal article
Published: 01 March 2017 in Applied Mathematical Modelling
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ACS Style

Giancarlo Consolo; Carmela Currò; Giovanna Valenti. Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments. Applied Mathematical Modelling 2017, 43, 372 -392.

AMA Style

Giancarlo Consolo, Carmela Currò, Giovanna Valenti. Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments. Applied Mathematical Modelling. 2017; 43 ():372-392.

Chicago/Turabian Style

Giancarlo Consolo; Carmela Currò; Giovanna Valenti. 2017. "Pattern formation and modulation in a hyperbolic vegetation model for semiarid environments." Applied Mathematical Modelling 43, no. : 372-392.

Journal article
Published: 28 January 2017 in Journal of Applied Physics
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ACS Style

Giancarlo Consolo; Giovanna Valenti. Analytical solution of the strain-controlled magnetic domain wall motion in bilayer piezoelectric/magnetostrictive nanostructures. Journal of Applied Physics 2017, 121, 43903 .

AMA Style

Giancarlo Consolo, Giovanna Valenti. Analytical solution of the strain-controlled magnetic domain wall motion in bilayer piezoelectric/magnetostrictive nanostructures. Journal of Applied Physics. 2017; 121 (4):43903.

Chicago/Turabian Style

Giancarlo Consolo; Giovanna Valenti. 2017. "Analytical solution of the strain-controlled magnetic domain wall motion in bilayer piezoelectric/magnetostrictive nanostructures." Journal of Applied Physics 121, no. 4: 43903.

Journal article
Published: 01 June 2015 in Physics Letters A
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ACS Style

Giancarlo Consolo; Carmela Curro'; Giovanna Valenti. Spin-transfer-driven spin-waves excitation in a finite-size magnetic waveguide. Physics Letters A 2015, 379, 1161 -1168.

AMA Style

Giancarlo Consolo, Carmela Curro', Giovanna Valenti. Spin-transfer-driven spin-waves excitation in a finite-size magnetic waveguide. Physics Letters A. 2015; 379 (16):1161-1168.

Chicago/Turabian Style

Giancarlo Consolo; Carmela Curro'; Giovanna Valenti. 2015. "Spin-transfer-driven spin-waves excitation in a finite-size magnetic waveguide." Physics Letters A 379, no. 16: 1161-1168.

Journal article
Published: 01 January 2015 in Process Safety and Environmental Protection
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Despite the remarkable severity of domino effects in activities at major hazard, a complete methodology analysing such events has not been developed and integrated within Quantitative Risk Analysis (QRA). Such a deficiency appears to be particularly remarkable for domino effects triggered by the projection of fragments. The aim of the present work is therefore to propose a systematic procedure for the quantification of domino effects due to fragments projection within QRA. To achieve this objective, the deterministic approach for the estimation of the realistic trajectory of fragments is entirely reviewed. In order to incorporate such a reviewed approach within the standard QRA, a probabilistic model for the impact probability of the fragments is developed by applying a Monte-Carlo method to the trajectory equations. The validation of the proposed framework is carried out by using the data related to an accident occurred in 1993 in the oil refinery of Milazzo (Italy)

ACS Style

Roberto Lisi; Giancarlo Consolo; Giuseppe Maschio; Maria Francesca Milazzo. Estimation of the impact probability in domino effects due to the projection of fragments. Process Safety and Environmental Protection 2015, 93, 99 -110.

AMA Style

Roberto Lisi, Giancarlo Consolo, Giuseppe Maschio, Maria Francesca Milazzo. Estimation of the impact probability in domino effects due to the projection of fragments. Process Safety and Environmental Protection. 2015; 93 ():99-110.

Chicago/Turabian Style

Roberto Lisi; Giancarlo Consolo; Giuseppe Maschio; Maria Francesca Milazzo. 2015. "Estimation of the impact probability in domino effects due to the projection of fragments." Process Safety and Environmental Protection 93, no. : 99-110.

Journal article
Published: 01 January 2015 in Mathematical Biosciences and Engineering
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Two hyperbolic reaction-diffusion models are built up in the framework of Extended Thermodynamics in order to describe the spatio-temporal interactions occurring in a two or three compartments aquatic food chain. The first model focuses on the dynamics between phytoplankton and zooplankton, whereas the second one accounts also for the nutrient. In these models, infections and influence of illumination on photosynthesis are neglected. It is assumed that the zooplankton predation follows a Holling type-III functional response, while the zooplankton mortality is linear. Owing to the hyperbolic structure of our equations, the wave processes occur at finite velocity, so that the paradox of instantaneous diffusion of biological quantities, typical of parabolic systems, is consequently removed. The character of steady states and travelling waves, together with the occurrence of Hopf bifurcations, is then discussed through linear stability analysis. The governing equations are also integrated numerically to validate the analytical results herein obtained and to extract additional information on the population dynamics.

ACS Style

Elvira Barbera; Giancarlo Consolo; Giovanna Valenti. A two or three compartments hyperbolic reaction-diffusion model for the aquatic food chain. Mathematical Biosciences and Engineering 2015, 12, 451 -472.

AMA Style

Elvira Barbera, Giancarlo Consolo, Giovanna Valenti. A two or three compartments hyperbolic reaction-diffusion model for the aquatic food chain. Mathematical Biosciences and Engineering. 2015; 12 (3):451-472.

Chicago/Turabian Style

Elvira Barbera; Giancarlo Consolo; Giovanna Valenti. 2015. "A two or three compartments hyperbolic reaction-diffusion model for the aquatic food chain." Mathematical Biosciences and Engineering 12, no. 3: 451-472.

Journal article
Published: 07 December 2014 in Journal of Applied Physics
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ACS Style

Giancarlo Consolo; Carmela Curro'; Giovanna Valenti. Quantitative estimation of the spin-wave features supported by a spin-torque-driven magnetic waveguide. Journal of Applied Physics 2014, 116, 213908 .

AMA Style

Giancarlo Consolo, Carmela Curro', Giovanna Valenti. Quantitative estimation of the spin-wave features supported by a spin-torque-driven magnetic waveguide. Journal of Applied Physics. 2014; 116 (21):213908.

Chicago/Turabian Style

Giancarlo Consolo; Carmela Curro'; Giovanna Valenti. 2014. "Quantitative estimation of the spin-wave features supported by a spin-torque-driven magnetic waveguide." Journal of Applied Physics 116, no. 21: 213908.

Journal article
Published: 01 February 2014 in Applied Mathematical Modelling
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The propagation of curved domain walls in hard ferromagnetic materials is studied by applying a reductive perturbation method to the generalized Landau–Lifshitz–Gilbert equation. The extended model herein considered explicitly takes into account the effects of a spin-polarized current as well as those arising from a nonlinear dissipation. Under the assumption of steady regime of propagation, the domain wall velocity is derived as a function of the domain wall curvature, the nonlinear damping coefficient, the magnetic field and the electric current. Threshold and Walker-like breakdown conditions for the external sources are also determined. The analytical results are evaluated numerically for different domain wall surfaces (planes, cylinders and spheres) and their physical implications are discussed.

ACS Style

Giancarlo Consolo; Carmela Curro'; Giovanna Valenti. Curved domain walls dynamics driven by magnetic field and electric current in hard ferromagnets. Applied Mathematical Modelling 2014, 38, 1001 -1010.

AMA Style

Giancarlo Consolo, Carmela Curro', Giovanna Valenti. Curved domain walls dynamics driven by magnetic field and electric current in hard ferromagnets. Applied Mathematical Modelling. 2014; 38 (3):1001-1010.

Chicago/Turabian Style

Giancarlo Consolo; Carmela Curro'; Giovanna Valenti. 2014. "Curved domain walls dynamics driven by magnetic field and electric current in hard ferromagnets." Applied Mathematical Modelling 38, no. 3: 1001-1010.

Journal article
Published: 01 February 2014 in Physica B: Condensed Matter
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ACS Style

V. Puliafito; Giancarlo Consolo; Luis Lopez Diaz; Bruno Azzerboni. Synchronization of propagating spin-wave modes in a double-contact spin-torque oscillator: A micromagnetic study. Physica B: Condensed Matter 2014, 435, 44 -49.

AMA Style

V. Puliafito, Giancarlo Consolo, Luis Lopez Diaz, Bruno Azzerboni. Synchronization of propagating spin-wave modes in a double-contact spin-torque oscillator: A micromagnetic study. Physica B: Condensed Matter. 2014; 435 ():44-49.

Chicago/Turabian Style

V. Puliafito; Giancarlo Consolo; Luis Lopez Diaz; Bruno Azzerboni. 2014. "Synchronization of propagating spin-wave modes in a double-contact spin-torque oscillator: A micromagnetic study." Physica B: Condensed Matter 435, no. : 44-49.