Stan Chiriţă

Alexandru Ioan Cuza University

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Michele Ciarletta

University of Salerno

Ciro D’Apice

University of Salerno

Vittorio Zampoli

University of Salerno

Cătălin Galeş

Alexandru Ioan Cuza University

Vincenzo Tibullo

University of Salerno

Ionel–Dumitrel Ghiba

Alexandru Ioan Cuza University

Alexandre Danescu

Institut des Nanotechnologies de Lyon

Salvatore Rionero

University of Naples Federico II

M. Aron

Babeș-Bolyai University

Andreea Arusoaie

Alexandru Ioan Cuza University

Cooperative Institutions

University of Salerno

Alexandru Ioan Cuza University

Istituto di Matematica Applicata e Tecnologie Informatiche

Romanian Academy

University of Naples Federico II

John Brown University

University of Bologna

Universitat Politècnica de Catalunya

University of Catania

University of Ferrara

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Spatial evolution of harmonic vibrations in linear elasticity

Journal of mechanics of materials and structures (2008)

Stan Chiriţă Michele Ciarletta

In the present paper we consider a prismatic cylinder occupied by an anisotropic homogeneous compressible linear elastic material that is subject to zero body force and zero displacement on the lateral boundary.The elasticity tensor is strongly elliptic and the motion is induced by a harmonic time-dependent displacement specified pointwise over the base.We establish some spatial estimates for appropriate cross-sectional measures associated with the harmonic vibrations that describe how the corresponding amplitude evolves with respect to the axial distance at the excited base.The results are established for finite as well as for semi-infinite cylinders (where alternatives results of Phragmén-Lindelöf type are obtained) and the exciting frequencies can take appropriate low and high values.In fact, for the low frequency range the established spatial estimates are of exponential type, while for the high frequency range the spatial estimates are of a certain algebraic type.

Elasticity

Linear elasticity

Harmonic

10.2140/jomms.2008.3.1675

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Citations (3)

Wave propagation in porous thermoelasticity with two delay times

Mathematical Methods in the Applied Sciences (2021)

Stan Chiriţă Vittorio Zampoli

Plane time‐harmonic waves with assigned wavelength are supposed to propagate in an infinite linear thermoelastic space: The thermodynamic response is framed into the time differential dual‐phase‐lag model, while the Cowin–Nunziato theory is used to depict the effect of porosity for the elastic part. We are able to show that it is possible to identify two shear waves, undamped in time and not affected by porosity and/or temperature, as well as four longitudinal waves (a quasi‐elastic wave, a quasi‐pore wave, a quasi‐thermal mode, and a quasi‐phase‐lag thermal wave); the corresponding dispersion relation is presented like a seventh‐degree algebraic equation. The numerical simulations and the graphs presented show the effects of the various elasto‐porous‐thermal couplings on the characteristics of the four longitudinal waves. The work has to be intended as evolution and, at the same time, as a point of synthesis with respect to similar previous studies which took into account, exclusively, or the double delay time or the presence of voids.

Thermoelastic damping

Dispersion relation

Shear waves

10.1002/mma.7869

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Citations (7)

Spatial behavior of the dual-phase-lag deformable conductors

Journal of Thermal Stresses (2018)

Stan Chiriţă Vittorio Zampoli

The purpose of the present article is to investigate about the spatial behavior question for a thermoelastic model describing the intrinsic coupling between the high-order effects of thermal lagging and the ultrafast deformation. The main achievements of this study consist of four types of results concerning the spatial behavior, namely: I) when the orders of approximation in the constitutive equation for the heat flux differ by one and (i) when short elapsed times are considered we establish a result describing the domain of influence that characterizes the wave like-behavior, while (ii) when long elapsed times are considered then we establish in the inside of the influence domain, some appropriate exponential decay estimates with uniform in time decay rate and II) when approximations of the same order are considered and (iii) when short elapsed times are considered we establish some exponential decaying estimates of Saint Venant type with decay rate depending on time, while (iv) when long elapsed times are considered then we establish some appropriate Saint Venant exponential estimates with uniform in time decaying rate or Phragmén-Lindelöf alternative (for a semi-infinite cylinder). The last two results characterize the diffusion like-behavior of the model. The reported spatial behavior is established for a large class of constitutive equations for the heat flux under mild assumptions upon the characteristics of the high-order thermal lagging and for both finite and semi-infinite cylinders.

Phase lag

10.1080/01495739.2018.1479205

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Citations (8)

End effects for a generalized biharmonic equation with applications to functionally graded materials

Journal of Mathematical Analysis and Applications (2007)

Ciro D’Apice Stan Chiriţă

Biharmonic equation

10.1016/j.jmaa.2007.12.040

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Citations (2)

On the Rayleigh surface waves on an anisotropic homogeneous thermoelastic half space

Acta Mechanica (2012)

Stan Chiriţă

Thermoelastic damping

Orthotropic material

Rayleigh Wave

Half-space

10.1007/s00707-012-0776-z

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Citations (31)

Thermoelastic surface waves on an exponentially graded half-space

Mechanics Research Communications (2013)

Stan Chiriţă

Thermoelastic damping

Half-space

Rayleigh Wave

10.1016/j.mechrescom.2013.01.005

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Citations (34)

UNIQUENESS AND CONTINUOUS DEPENDENCE RESULTS FOR THE INCREMENTAL THERMOELASTICITY

Journal of Thermal Stresses (1982)

Stan Chiriţă

Abstract This paper investigates the continuous dependence upon the initial data and supply terms of the solutions for the standard initial boundary-value problems within the context of the incremental theory of thermoelasticity established in [1]. A uniqueness theorem for solution of the initial boundary-value problem is also established. The results are obtained by using a method based on a Gronwall-type inequality.

10.1080/01495738208942142

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Citations (12)

On Saint-Venant's principle for a linear poroelastic material in plane strain

Journal of Mathematical Analysis and Applications (2009)

Ciro D’Apice Stan Chiriţă

Poromechanics

Plane stress

10.1016/j.jmaa.2009.09.032

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Citations (12)

On Saint-Venant's Principle for a Homogeneous Elastic Arch-Like Region