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MICHELE BACCIOCCHI

DIPENDENTE ALTRA UNIVERSITA
Dipartimento di Ingegneria "Enzo Ferrari"

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Pubblicazioni

2023 - Finite element solution of vibrations and buckling of laminated thin plates in hygro-thermal environment based on strain gradient theory [Articolo su rivista]
Bacciocchi, M.; Fantuzzi, N.; Luciano, R.; Tarantino, A. M.
abstract

The paper aims to develop a finite element methodology to deal with vibrations and buckling of laminated thin plates subjected to thermal and hygroscopic effects, once a second-order strain gradient theory is included to overcome the limitations of conventional elasticity and to capture nonlocal phenomena. The numerical scheme takes advantage of Hermite approximation for both membrane and bending primary variables, since the strain gradient introduces higher-order derivatives of the nodal displacements. Its versatility is proven by dealing with general lamination schemes and arbitrary boundary conditions. The analyzed configurations cannot be solved analytically.

2022 - Finite anticlastic bending of hyperelastic laminated beams with a rubberlike core [Articolo su rivista]
Bacciocchi, M.; Tarantino, A. M.
abstract

A novel analytical approach to investigate the finite bending of hyperelastic laminated beams is presented. Two different nonlinear material models are taken into account, which are the compressible Mooney-Rivlin for rubberlike mediums and the Saint Venant-Kirchhoff for less deformable materials. The anticlastic bending is included in the formulation and the analytical expression of the transverse radius of curvature is presented. The stress analysis is performed in each layer separately, by considering the actual stored energy function of the constituents, in both Lagrangian and Eulerian frameworks. The finite bending of a sandwich beam is investigated in terms of stresses and stretches.

2022 - Multi-phase homogenization procedure for estimating the mechanical properties of shot-earth materials [Articolo su rivista]
Bacciocchi, M.; Savino, V.; Lanzoni, L.; Tarantino, A. M.; Viviani, M.
abstract

The paper proposes an analytical homogenization procedure to predict the overall elastic properties of shot-earth, a sustainable composite material made of excavated soil, aggregates and, if needed, a binder for stabilization. A multi-step methodology based on the Mori–Tanaka approach is used to account for the stabilized soil inclusions. This approach is proposed in order to shorten the mix-design procedures and readily provide to the structural engineers a set of mechanical properties of the shot-earth components to be used in the early design phases, when the construction field is not open yet and excavation of the site has not begun. The analytical results were successfully validated through an experimental campaign.

2021 - Analytical solutions for vibrations and buckling analysis of laminated composite nanoplates based on third-order theory and strain gradient approach [Articolo su rivista]
Bacciocchi, M.; Tarantino, A. M.
abstract

A nonlocal model based on the strain gradient approach is developed within the framework of the Third-order Shear Deformation Theory (TSDT) for the investigation of the free vibrations and the critical buckling loads of laminated composite nanoplates. The theory is suitable to deal with thick and thin plates since it includes also the First-order Shear Deformation Theory (FSDT) and the Classical Laminated Plate Theory (CLPT). An analytical procedure based on the Navier approach is employed to obtain the solutions, which are discussed highlighting the effects of the strain gradient, as well as the influence of the geometric ratios and mechanical properties, on the results. The paper aims at providing reliable benchmarks for further developments of the topic to be used as references in future comparison tests.

2021 - Bending of hyperelastic beams made of transversely isotropic material in finite elasticity [Articolo su rivista]
Bacciocchi, M.; Tarantino, A. M.
abstract

The paper aims to investigate the finite bending of hyperelastic beams composed of transversely isotropic soft materials. The constitutive laws are obtained by including the transverse isotropy effects in the compressible Mooney-Rivlin model. A suitable expression for the stored energy function is introduced for this purpose, showing its dependency on five material invariants. A fully nonlinear three-dimensional beam model, including the anticlastic effect, is developed. The general analytical formulation allows to consider the influence of transverse isotropy on the Piola-Kirchhoff and Cauchy stress components, since it is presented in both Lagrangian and Eulerian frameworks. The validity of the current model is finally discussed. This study is justified by many innovative applications which require the use of transversely isotropic components, such as the finite bending of soft robots or biological systems.

2021 - Finite bending of hyperelastic beams with transverse isotropy generated by longitudinal porosity [Articolo su rivista]
Bacciocchi, M.; Tarantino, A. M.
abstract

The paper deals with the finite bending analysis of transversely isotropic hyperelastic slender beams made of a neo-Hookean material with longitudinal voids. The fully nonlinear behavior of the structures is presented in the framework of three-dimensional finite elasticity. A semi-inverse approach is used to describe the beam kinematics, which includes the anticlastic effect. The theoretical framework is developed in both Lagrangian and Eulerian reference systems. Explicit formulas are obtained for stretches and stresses, in a general framework valid for transversely isotropic beams. The effect of porosity on the Piola-Kirchhoff and Cauchy stress components is then discussed. The results are all obtained and validated analytically, and could be helpful to model structural systems in the fields of bioengineering and soft-robotics which exhibit both large displacements and deformations.

2021 - Linear eigenvalue analysis of laminated thin plates including the strain gradient effect by means of conforming and nonconforming rectangular finite elements [Articolo su rivista]
Bacciocchi, M.; Fantuzzi, N.; Luciano, R.; Tarantino, A. M.
abstract

The paper presents a finite element method to investigate the critical buckling loads and the natural frequencies of laminated Kirchhoff plates including the nonlocal strain gradient effect, which could have considerably consequences at the nanoscale. With respect to the existing literature, the proposed numerical methodology is developed to deal with general stacking sequences of orthotropic layers with arbitrary orientations and various boundary conditions. The resulting membrane-bending coupling is emphasized in the formulation, which requires to study the whole set of partial differential equations. The membrane and bending degrees of freedom are all approximated by means of Hermite interpolating functions with higher-order continuity requirements. To this aim, regular rectangular finite elements based on conforming (C) and nonconforming (NC) approaches are used. A wide validation procedure is carried out to prove the effectiveness of the proposed formulation. A set of new results is presented for general mechanical configurations with arbitrary restraints.

2021 - Special issue: “advances in structural mechanics modeled with fem” [Articolo su rivista]
Tarantino, A. M.; Majorana, C.; Luciano, R.; Bacciocchi, M.
abstract

The current Special Issue entitled "Advances in Structural Mechanics Modeled with FEM" aims to collect several numerical investigations and analyses focused on the use of the Finite Element Method (FEM) [...].

2021 - Third-order theory for the bending analysis of laminated thin and thick plates including the strain gradient effect [Articolo su rivista]
Bacciocchi, M.; Tarantino, A. M.
abstract

The aim of the paper is the development of a third-order theory for laminated composite plates that is able to accurately investigate their bending behavior in terms of displacements and stresses. The starting point is given by the corresponding Reddy’s Third-order Shear Deformation Theory (TSDT). This model is then generalized to consider simultaneously the Classical Laminated Plate Theory (CLPT), as well as the First-order Shear Deformation Theory (FSDT). The constitutive laws are modified according to the principles of the nonlocal strain gradient approach. The fundamental equations are solved analytically by means of the Navier methodology taking into account cross-ply and angle-ply lamination schemes. The numerical applications are presented to highlight the nonlocal effects on static behavior.