Nonlinear vibrations of viscoelastic rectangular plates

M Amabili - Journal of Sound and Vibration, 2016 - Elsevier
Nonlinear vibrations of viscoelastic thin rectangular plates subjected to normal harmonic
excitation in the spectral neighborhood of the lowest resonances are investigated. The von …

Nonlinear higher-order shell theory for incompressible biological hyperelastic materials

M Amabili, ID Breslavsky, JN Reddy - Computer Methods in Applied …, 2019 - Elsevier
In the present study, a geometrically nonlinear theory for circular cylindrical shells made of
incompressible hyperelastic materials is developed. The 9-parameter theory is higher-order …

Nonlinear mechanics of sandwich plates: Layerwise third-order thickness and shear deformation theory

M Amabili, JN Reddy - Composite Structures, 2021 - Elsevier
The nonlinear mechanics of sandwich plates is studied using a layerwise third-order
thickness and shear deformation theory. In particular, the two face sheets are modelled …

Nonlinear analysis of cylindrical sandwich shells with porous core and CNT reinforced face-sheets by higher-order thickness and shear deformation theory

A Yadav, M Amabili, SK Panda, T Dey - European Journal of Mechanics-A …, 2021 - Elsevier
This paper presents the nonlinear static analysis of circular cylindrical sandwich shells using
a higher-order thickness and shear deformation theory with nine kinematic parameters. The …

Nonlinear vibrations and stability of laminated shells using a modified first-order shear deformation theory

M Amabili - European Journal of Mechanics-A/Solids, 2018 - Elsevier
An original and consistent first-order shear deformation theory that retains all the nonlinear
terms in the in-plane displacements and rotations is presented here. The theory is …

Static and dynamic behavior of circular cylindrical shell made of hyperelastic arterial material

ID Breslavsky, M Amabili… - Journal of Applied …, 2016 - asmedigitalcollection.asme.org
Static and dynamic responses of a circular cylindrical shell made of hyperelastic arterial
material are studied. The material is modeled as a combination of Neo-Hookean and Fung …

Experimental and numerical study on vibrations and static deflection of a thin hyperelastic plate

M Amabili, P Balasubramanian, ID Breslavsky… - Journal of sound and …, 2016 - Elsevier
The hyperelastic behavior of a thin square silicone rubber plate has been investigated
analytically, numerically and experimentally; the case of small-amplitude vibrations has …

A new third-order shear deformation theory with non-linearities in shear for static and dynamic analysis of laminated doubly curved shells

M Amabili - Composite Structures, 2015 - Elsevier
A geometrically nonlinear theory is developed for shells of generic shape allowing for third-
order shear deformation and rotary inertia by using five parameters: in-plane and transverse …

Computing static behavior of flexible rectangular von Karman plates in fast and reliable way

J Awrejcewicz, VA Krysko Jr, LA Kalutsky… - International Journal of …, 2022 - Elsevier
In this paper, several modifications of the Bubnov–Galerkin method for studying flexible
rectangular plates have been constructed and validated. This is to overcome the challenges …

Nonlinear breathing motions and instabilities of a pressure-loaded spherical hyperelastic membrane

RM Soares, PFT Amaral, FMA Silva, PB Gonçalves - Nonlinear Dynamics, 2020 - Springer
This work presents the mathematical modeling, based on a variational formulation, for the
analysis of the nonlinear static and dynamic breathing motions of a hyperelastic spherical …