Nonlocal integral thermoelasticity: A thermodynamic framework for functionally graded beams

Barretta, Raffaele; Čanađija, Marko; Sciarra, Francesco Marotti de

doi:10.1016/j.compstruct.2019.111104

Cited by 27 publications

(13 citation statements)

References 55 publications

(85 reference statements)

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“…One of the central problems in beams with stiffness varying along the bending direction (z) is that the neutral surface does not necessarily include the cross-sectional centroid [51,64,65]. Therefore, the issue known as the neutral surface shift appears in the present case as well.…”

Section: Nonisothermal Multilayered Beam Kinematicsmentioning

confidence: 95%

On thermomechanics of multilayered beams

Barretta

Čanađija

Sciarra

2020

International Journal of Engineering Science

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In this paper, the mechanical behavior of multilayered small-scale beams in nonisothermal environment is investigated. Scale phenomena are modeled by means of the mathematically well-posed and experimentally consistent stress-driven integral formulation of elasticity. The present research extends the treatment in [1] confined to elastically homogeneous nano-scopic structures. It is shown that the non-locality leads to a complex coupling between axial and transverse elastic displacements. Such a size-dependent phenomenon makes the solution of the relevant nonlocal thermoelastostatic problem, governed by a system of two ordinary differential equations with ten standard boundary conditions and non-classical constitutive boundary conditions, significantly more involved with respect to treatments in literature. Thus, a novel solution methodology, based on Laplace transforms, is proposed and illustrated by examining simple structural schemes of current

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Section: Nonisothermal Multilayered Beam Kinematicsmentioning

confidence: 95%

On thermomechanics of multilayered beams

Barretta

Čanađija

Sciarra

2020

International Journal of Engineering Science

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“…Fourier and non‐Fourier heat conduction models, such as hyperbolic and dual‐phase‐lagging heat conduction, do not accommodate the size effect, while the GK model reflects both the nonlocal and phase lagging effects [ 34,35,49–51 ] :

q + τ_{q} \frac{\partial q_{z}}{\partial t} = - k \frac{\partial T}{\partial z} + l^{2} ((), \frac{\partial^{2} T}{\partial z^{2}}) .

…”

Section: Nonlocal Heat Conductionmentioning

confidence: 99%

Nonlocal heat conduction in single‐walled carbon nanotubes

et al. 2021

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This paper explores how reinforcing the hyperbolic heat conduction by the nonlocality affects temperature distribution in nanostructures such as nanobeam and single‐walled carbon nanotubes (SWCNTs). The work dissects the nonlocal heat conduction by advocating a thoroughly new application of the differential quadrature method. The nanobeam is modeled like a SWCNT (cylindrical shell), and the boundaries on the inner and outer sides are considered under a temperature jump at the nanoscale. The effects of several parameters on the temperature distribution through the thickness of the nanobeam are highlighted, including time‐dependent boundary conditions, time lag, nonlocal parameter, length, and radius of the hollow beam.

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“…However, due to differences in the Young's modulus of each layer, the physical neutral surface in which the normal stresses vanish does not correspond in general to the geometrical middle surface [33]. A similar situation occurs in functionally graded beams along the vertical coordinate z (see [34][35][36]). The distance between these two surfaces is denoted by ζ 0 .…”

Section: Geometry Of the Beammentioning

confidence: 99%

Nonlocal Mechanical Behavior of Layered Nanobeams

2020

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The research at hand deals with the mechanical behavior of beam-like nanostructures. Nanobeams are assembled of multiple layers of different materials and geometry giving a layered nanobeam. To properly address experimentally noticed size effects in structures of this type, an adequate nonlocal elasticity formulation must be applied. The present model relies on the stress-driven integral methodology that effectively circumvents known deficiencies of other approaches. As a main contribution, a set of differential equations and boundary conditions governing the underlaying mechanics is proposed and applied to two benchmark examples. The obtained results show the expected stiffening nonlocal behavior exhibiting most of smaller and smaller structures and modern devices.

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Nonlocal integral thermoelasticity: A thermodynamic framework for functionally graded beams

Cited by 27 publications

References 55 publications

On thermomechanics of multilayered beams

On thermomechanics of multilayered beams

Nonlocal heat conduction in single‐walled carbon nanotubes

Nonlocal Mechanical Behavior of Layered Nanobeams

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