Luca Lanzoni - Academia.edu (original) (raw)

Papers by Luca Lanzoni

Research paper thumbnail of A Wiener-Hopf System of Equations in the Steady-State Propagation of a Rectilinear Crack in an Infinite Elastic Plate

A Wiener-Hopf system of functional equations is shown to govern the steady-state propagation of a... more A Wiener-Hopf system of functional equations is shown to govern the steady-state propagation of a semi-infinite rectilinear crack in an infinite elastic Kirchhoff–Love plate. Solution is presented in terms of Fourier transforms via kernel factorization.

Research paper thumbnail of FE Analyses of Hyperelastic Solids under Large Bending: The Role of the Searle Parameter and Eulerian Slenderness

Materials

A theoretical model concerning the finite bending of a prismatic hyperelastic solid has been rece... more A theoretical model concerning the finite bending of a prismatic hyperelastic solid has been recently proposed. Such a model provides the 3D kinematics and the stress field, taking into account the anticlastic effects arising in the transverse cross sections also. That model has been used later to extend the Elastica in the framework of finite elasticity. In the present work, Finite Element (FE) analyses of some basic structural systems subjected to finite bending have been carried out and the results have been compared with those provided by the theoretical model performed previously. In the theoretical formulation, the governing equation is the nonlinear local relationship between the bending moment and the curvature of the longitudinal axis of the bent beam. Such a relation has been provided in dimensionless form as a function of the Mooney–Rivlin constitutive constants and two kinematic dimensionless parameters termed Eulerian slenderness and compactness index of the cross secti...

Research paper thumbnail of The Bending of Beams in Finite Elasticity

Research paper thumbnail of Microstructural analysis and mechanical properties of concrete reinforced with polymer short fibers

International Journal of Engineering Science

Research paper thumbnail of Numerical and Experimental Analyses

The Bending Theory of Fully Nonlinear Beams

Research paper thumbnail of Finite Anticlastic Bending of Hyperelastic Solids and Beams

Journal of Elasticity

This paper deals with the equilibrium problem in nonlinear elasticity of hyperelastic solids unde... more This paper deals with the equilibrium problem in nonlinear elasticity of hyperelastic solids under anticlastic bending. A three-dimensional kinematic model, where the longitudinal bending is accompanied by the transversal deformation of cross sections, is formulated. Following a semi-inverse approach, the displacement field prescribed by the above kinematic model contains three unknown parameters. A Lagrangian analysis is performed and the compressible Mooney-Rivlin law is assumed for the stored energy function. Once evaluated the Piola-Kirchhoff stresses, the free parameters of the kinematic model are determined by using the equilibrium equations and the boundary conditions. An Eulerian analysis is then accomplished to evaluating stretches and stresses in the deformed configuration. Cauchy stress distributions are investigated and it is shown how, for wide ranges of constitutive parameters, the obtained solution is quite accurate. The whole formulation proposed for the finite anticlastic bending of hyperelastic solids is linearized by introducing the hypothesis of smallness of the displacement and strain fields. With this linearization procedure, the classical solution for the infinitesimal bending of beams is fully recovered.

Research paper thumbnail of Flexural edge waves generated by steady-state propagation of a loaded rectilinear crack in an elastically supported thin plate

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science

Research paper thumbnail of A coupled FE-BIE model for the static analysis of Timoshenko beams bonded to an orthotropic elastic half-plane

Engineering Analysis with Boundary Elements, 2016

Research paper thumbnail of Failure mechanism of FRC slabs on non-local ground

Research paper thumbnail of Mechanics of High-Flexible Beams Under Live Loads

Journal of Elasticity

In this paper the mathematical formulation of the equilibrium problem of high-flexible beams in t... more In this paper the mathematical formulation of the equilibrium problem of high-flexible beams in the framework of fully nonlinear structural mechanics is presented. The analysis is based on the recent model proposed by L. Lanzoni and A.M. Tarantino: The bending of beams in finite elasticity.

Research paper thumbnail of Concrete beams stiffened by polymer-based mortar layers: Experimental investigation and modeling

Construction and Building Materials, 2016

Research paper thumbnail of Axisymmetric loading of an elastic-plastic plate on a general two-parameter foundation

Journal of Mechanics of Materials and Structures, 2015

Research paper thumbnail of On the effect of the backup plate stiffness on the brittle failure of a ceramic armor

Research paper thumbnail of Analytical Modelling of the Pullout Behavior of Synthetic Fibres Treated with Nano-silica

Procedia Engineering, 2015

Research paper thumbnail of Modelli analitici per lo studio della risposta dinamica di paratie flessibili soggette ad azioni sismiche

Rivista Italiana di Geotecnica

ABSTRACT

Research paper thumbnail of Sulla risposta dinamica di paratie flessibili incastrate soggette a sollecitazioni sismiche in depositi alluvionali

Sommario Nel presente lavoro sono illustrati alcuni risultati di una ricerca volta a valutare la ... more Sommario Nel presente lavoro sono illustrati alcuni risultati di una ricerca volta a valutare la complessa risposta dinamica di una paratia flessibile incastrata, mediante due modelli lineari, uno visco-elastico, applicabile ai terreni poco permeabili, ed uno poro-visco-elastico, per terreni a grana grossa. A differenza dei metodi pseudostatici, suggeriti dagli Eurocodici, i modelli presentati forniscono una analisi dinamica completa in quanto consentono di tenere in conto il contenuto ener-getico del sisma di progetto in corrispondenza delle frequenze naturali del deposito e la reale rigidezza dell'opera di sostegno. L'assunzione di indeformabilità della paratia può indurre una errata stima delle sollecitazioni sull'opera, so-prattutto in campo dinamico. Al fine di valutare l'efficacia dei modelli proposti, e per quantificare le differenze delle sollecitazioni ottenute rispetto al metodo semplificato di Mononobe – Okabe, sono qui riportati i risultati di due simu-la...

Research paper thumbnail of Ion implantation for manufacturing bent and periodically bent crystals

Applied Physics Letters, 2015

Research paper thumbnail of Experimental evidence of planar channeling in a periodically bent crystal

The European Physical Journal C, 2014

The usage of a crystalline undulator (CU) has been identified as a promising solution for generat... more The usage of a crystalline undulator (CU) has been identified as a promising solution for generating powerful and monochromatic γ -rays. A CU was fabricated at Sensors and Semiconductors Lab (SSL) through the grooving method, i.e., by the manufacturing of a series of periodical grooves on the major surfaces of a crystal. The CU was extensively characterized both morphologically via optical interferometry at SSL and structurally via X-ray diffraction at ESRF. Then, it was finally tested for channeling with a 400 GeV/c proton beam at CERN. The experimental results were compared to Monte Carlo simulations. Evidence of planar channeling in the CU was firmly observed. Finally, the emission spectrum of the positron beam interacting with the CU was simulated for possible usage in currently existing facilities.

Research paper thumbnail of A GIS platform on main natural hazards for Valparaíso city (Chile) and vulnerability studies for some historical constructions and urban sectors

Proceedings of the VI International Conference on Structural Analysis of Historic Construction, SAHC08, 2-4 July 2008, Bath, United Kingdom, 2008

ABSTRACT The Project“MARVASTO” (“Risk Management inValparaíso/Manejo de Riesgos enValparaíso, Ser... more ABSTRACT The Project“MARVASTO” (“Risk Management inValparaíso/Manejo de Riesgos enValparaíso, Servicios Técnicos”) started in March 2007. It is managed by ENEA, with the participation of Italian and Chilean partners and the support of local stakeholders. Being the city declared patrimony of the humanity by UNESCO since 2003, the goals of the project are the following: to evaluate the impact of main hazards (earthquake, tsunami, fire, and landslide); to provide a vulnerability analysis for three historical churches (San Francisco, Las Hermanitas de la Providencia, La Matríz, made by various materials – masonry, concrete, wood and adobe – and located in different city sites) and for a pilot building stock in the Cerro Cordillera historical area, analyzing more than 200 constructions; to suggest guidelines for future urban planning; to develop a GIS digital archive, well organized, user-friendly and easy to be implemented in the future, providing maps and scenarios of specific and multiple risk. In the paper, preliminary results are given, taking into account the in situ work of two missions at Valparaíso (May and October–December 2007).

Research paper thumbnail of AniCryDe : calculation of elastic properties in silicon and germanium crystals

Journal of Applied Crystallography, 2015

A code to calculate the anisotropic elastic properties in a silicon or germanium crystal is intro... more A code to calculate the anisotropic elastic properties in a silicon or germanium crystal is introduced. The program, namedAniCryDe, allows the user to select the crystallographic configuration of interest. For the selected crystallographic orientation,AniCryDecalculates several key mechanical parameters, such as Young's modulus, Poisson's ratio and the shear modulus. Furthermore, the program displays both the compliance and the stiffness tensors concerning the crystallographic orientation of interest. The code enables the user to set several parameters through a user-friendly control stage. As a result, the user obtains the complete displacement field of a deformed crystal and the curvature of any crystallographic plane. Manufacturing wafer defects such as miscut and misflat angle are also taken into account.

Research paper thumbnail of A Wiener-Hopf System of Equations in the Steady-State Propagation of a Rectilinear Crack in an Infinite Elastic Plate

A Wiener-Hopf system of functional equations is shown to govern the steady-state propagation of a... more A Wiener-Hopf system of functional equations is shown to govern the steady-state propagation of a semi-infinite rectilinear crack in an infinite elastic Kirchhoff–Love plate. Solution is presented in terms of Fourier transforms via kernel factorization.

Research paper thumbnail of FE Analyses of Hyperelastic Solids under Large Bending: The Role of the Searle Parameter and Eulerian Slenderness

Materials

A theoretical model concerning the finite bending of a prismatic hyperelastic solid has been rece... more A theoretical model concerning the finite bending of a prismatic hyperelastic solid has been recently proposed. Such a model provides the 3D kinematics and the stress field, taking into account the anticlastic effects arising in the transverse cross sections also. That model has been used later to extend the Elastica in the framework of finite elasticity. In the present work, Finite Element (FE) analyses of some basic structural systems subjected to finite bending have been carried out and the results have been compared with those provided by the theoretical model performed previously. In the theoretical formulation, the governing equation is the nonlinear local relationship between the bending moment and the curvature of the longitudinal axis of the bent beam. Such a relation has been provided in dimensionless form as a function of the Mooney–Rivlin constitutive constants and two kinematic dimensionless parameters termed Eulerian slenderness and compactness index of the cross secti...

Research paper thumbnail of The Bending of Beams in Finite Elasticity

Research paper thumbnail of Microstructural analysis and mechanical properties of concrete reinforced with polymer short fibers

International Journal of Engineering Science

Research paper thumbnail of Numerical and Experimental Analyses

The Bending Theory of Fully Nonlinear Beams

Research paper thumbnail of Finite Anticlastic Bending of Hyperelastic Solids and Beams

Journal of Elasticity

This paper deals with the equilibrium problem in nonlinear elasticity of hyperelastic solids unde... more This paper deals with the equilibrium problem in nonlinear elasticity of hyperelastic solids under anticlastic bending. A three-dimensional kinematic model, where the longitudinal bending is accompanied by the transversal deformation of cross sections, is formulated. Following a semi-inverse approach, the displacement field prescribed by the above kinematic model contains three unknown parameters. A Lagrangian analysis is performed and the compressible Mooney-Rivlin law is assumed for the stored energy function. Once evaluated the Piola-Kirchhoff stresses, the free parameters of the kinematic model are determined by using the equilibrium equations and the boundary conditions. An Eulerian analysis is then accomplished to evaluating stretches and stresses in the deformed configuration. Cauchy stress distributions are investigated and it is shown how, for wide ranges of constitutive parameters, the obtained solution is quite accurate. The whole formulation proposed for the finite anticlastic bending of hyperelastic solids is linearized by introducing the hypothesis of smallness of the displacement and strain fields. With this linearization procedure, the classical solution for the infinitesimal bending of beams is fully recovered.

Research paper thumbnail of Flexural edge waves generated by steady-state propagation of a loaded rectilinear crack in an elastically supported thin plate

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science

Research paper thumbnail of A coupled FE-BIE model for the static analysis of Timoshenko beams bonded to an orthotropic elastic half-plane

Engineering Analysis with Boundary Elements, 2016

Research paper thumbnail of Failure mechanism of FRC slabs on non-local ground

Research paper thumbnail of Mechanics of High-Flexible Beams Under Live Loads

Journal of Elasticity

In this paper the mathematical formulation of the equilibrium problem of high-flexible beams in t... more In this paper the mathematical formulation of the equilibrium problem of high-flexible beams in the framework of fully nonlinear structural mechanics is presented. The analysis is based on the recent model proposed by L. Lanzoni and A.M. Tarantino: The bending of beams in finite elasticity.

Research paper thumbnail of Concrete beams stiffened by polymer-based mortar layers: Experimental investigation and modeling

Construction and Building Materials, 2016

Research paper thumbnail of Axisymmetric loading of an elastic-plastic plate on a general two-parameter foundation

Journal of Mechanics of Materials and Structures, 2015

Research paper thumbnail of On the effect of the backup plate stiffness on the brittle failure of a ceramic armor

Research paper thumbnail of Analytical Modelling of the Pullout Behavior of Synthetic Fibres Treated with Nano-silica

Procedia Engineering, 2015

Research paper thumbnail of Modelli analitici per lo studio della risposta dinamica di paratie flessibili soggette ad azioni sismiche

Rivista Italiana di Geotecnica

ABSTRACT

Research paper thumbnail of Sulla risposta dinamica di paratie flessibili incastrate soggette a sollecitazioni sismiche in depositi alluvionali

Sommario Nel presente lavoro sono illustrati alcuni risultati di una ricerca volta a valutare la ... more Sommario Nel presente lavoro sono illustrati alcuni risultati di una ricerca volta a valutare la complessa risposta dinamica di una paratia flessibile incastrata, mediante due modelli lineari, uno visco-elastico, applicabile ai terreni poco permeabili, ed uno poro-visco-elastico, per terreni a grana grossa. A differenza dei metodi pseudostatici, suggeriti dagli Eurocodici, i modelli presentati forniscono una analisi dinamica completa in quanto consentono di tenere in conto il contenuto ener-getico del sisma di progetto in corrispondenza delle frequenze naturali del deposito e la reale rigidezza dell'opera di sostegno. L'assunzione di indeformabilità della paratia può indurre una errata stima delle sollecitazioni sull'opera, so-prattutto in campo dinamico. Al fine di valutare l'efficacia dei modelli proposti, e per quantificare le differenze delle sollecitazioni ottenute rispetto al metodo semplificato di Mononobe – Okabe, sono qui riportati i risultati di due simu-la...

Research paper thumbnail of Ion implantation for manufacturing bent and periodically bent crystals

Applied Physics Letters, 2015

Research paper thumbnail of Experimental evidence of planar channeling in a periodically bent crystal

The European Physical Journal C, 2014

The usage of a crystalline undulator (CU) has been identified as a promising solution for generat... more The usage of a crystalline undulator (CU) has been identified as a promising solution for generating powerful and monochromatic γ -rays. A CU was fabricated at Sensors and Semiconductors Lab (SSL) through the grooving method, i.e., by the manufacturing of a series of periodical grooves on the major surfaces of a crystal. The CU was extensively characterized both morphologically via optical interferometry at SSL and structurally via X-ray diffraction at ESRF. Then, it was finally tested for channeling with a 400 GeV/c proton beam at CERN. The experimental results were compared to Monte Carlo simulations. Evidence of planar channeling in the CU was firmly observed. Finally, the emission spectrum of the positron beam interacting with the CU was simulated for possible usage in currently existing facilities.

Research paper thumbnail of A GIS platform on main natural hazards for Valparaíso city (Chile) and vulnerability studies for some historical constructions and urban sectors

Proceedings of the VI International Conference on Structural Analysis of Historic Construction, SAHC08, 2-4 July 2008, Bath, United Kingdom, 2008

ABSTRACT The Project“MARVASTO” (“Risk Management inValparaíso/Manejo de Riesgos enValparaíso, Ser... more ABSTRACT The Project“MARVASTO” (“Risk Management inValparaíso/Manejo de Riesgos enValparaíso, Servicios Técnicos”) started in March 2007. It is managed by ENEA, with the participation of Italian and Chilean partners and the support of local stakeholders. Being the city declared patrimony of the humanity by UNESCO since 2003, the goals of the project are the following: to evaluate the impact of main hazards (earthquake, tsunami, fire, and landslide); to provide a vulnerability analysis for three historical churches (San Francisco, Las Hermanitas de la Providencia, La Matríz, made by various materials – masonry, concrete, wood and adobe – and located in different city sites) and for a pilot building stock in the Cerro Cordillera historical area, analyzing more than 200 constructions; to suggest guidelines for future urban planning; to develop a GIS digital archive, well organized, user-friendly and easy to be implemented in the future, providing maps and scenarios of specific and multiple risk. In the paper, preliminary results are given, taking into account the in situ work of two missions at Valparaíso (May and October–December 2007).

Research paper thumbnail of AniCryDe : calculation of elastic properties in silicon and germanium crystals

Journal of Applied Crystallography, 2015

A code to calculate the anisotropic elastic properties in a silicon or germanium crystal is intro... more A code to calculate the anisotropic elastic properties in a silicon or germanium crystal is introduced. The program, namedAniCryDe, allows the user to select the crystallographic configuration of interest. For the selected crystallographic orientation,AniCryDecalculates several key mechanical parameters, such as Young's modulus, Poisson's ratio and the shear modulus. Furthermore, the program displays both the compliance and the stiffness tensors concerning the crystallographic orientation of interest. The code enables the user to set several parameters through a user-friendly control stage. As a result, the user obtains the complete displacement field of a deformed crystal and the curvature of any crystallographic plane. Manufacturing wafer defects such as miscut and misflat angle are also taken into account.