Effect of inclined load on a functionally graded fiber-reinforced thermoelastic medium with temperature-dependent properties

Barak, M. S.; Dhankhar, Priti

doi:10.1007/s00707-022-03293-5

Cited by 11 publications

(3 citation statements)

References 39 publications

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“…The heat conduction Equation ( 15) and the equation of balance of equilibrated forces (16) in the 𝑧𝑥-plane have the following forms when using the summation convention:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

“…Gunghas et al [15] examined two-dimensional interactions in an isotropic exponentially graded thermoelastic medium with voids and gravity under the purview of LS theory. Barak and Dhankhar [16] solved a problem on thermoelastic interactions in a fiber-reinforced exponentially graded thermoelastic material with temperature dependent properties. Recently, Barak and Dhankhar [17] analyzed the disturbances induced in a rotating transversely isotropic nonlocal exponentially graded thermoelastic half-space in the context of LS theory.…”

Section: Introductionmentioning

confidence: 99%

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Nonlocal and dual‐phase‐lag effects in a transversely isotropic exponentially graded thermoelastic medium with voids

Barak,

Poonia,

Devi

et al. 2024

Z Angew Math Mech

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The aim of the present work is to examine the thermally induced disturbances in a transversely isotropic nonlocal exponentially graded (nonhomogeneous) thermoelastic half‐space with voids within the framework of dual‐phase‐lag (DPL) theory. It is supposed that the material's properties are graded in z‐direction. By employing normal mode technique, the exact expressions of the temperature field, the change in volume fraction field, displacement and stress components are obtained. The obtained results are computed numerically for a magnesium crystal‐like material and depicted graphically to display the effects of material's anisotropy, non‐homogeneity parameter, generalized theories, nonlocal parameter, void parameter and time on the variations of different physical fields. Certain limiting cases of interest have been deduced from the present investigation.

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“…The heat conduction Equation ( 15) and the equation of balance of equilibrated forces (16) in the 𝑧𝑥-plane have the following forms when using the summation convention:…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlocal and dual‐phase‐lag effects in a transversely isotropic exponentially graded thermoelastic medium with voids

Barak,

Poonia,

Devi

et al. 2024

Z Angew Math Mech

Self Cite

View full text Add to dashboard Cite

show abstract

“…The generalized thermoelasticity proposed by Green and Lindsay, the dynamic response of generalized thermoelastic problems with temperature-dependent material properties is investigated by He and Shi [22]. Barak and Dhankhar [23] concerned with the solution of a problem on thermoelastic interactions in a functionally graded (non-homogeneous), fiber-reinforced, transversely isotropic half-space with temperature-dependent properties under the application of an inclined load in the context of Green-Naghdi theory of type III.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Nonlocal on Poro-thermoelastic Solid with Dependent Properties on Refrence Temperature via the Three-phase-lag Model

Othman¹,

Said²,

Eldemerdash³

2023

J. Mater. Appl.

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In this work, a novel nonlocal model on a poro-thermoelastic solid with temperature-dependent properties is presented. To solve this problem, the thermo-elasticity theory with three-phase-lag model (3PHL) is proposed. The modulus of the elasticity is given as a linear function of the reference temperature. The analytical expressions of the displacement components, the stresses, and the temperature are obtained by normal mode analysis. The main physical fields are displayed graphically and theoretically discussed under the influence of the nonlocal parameter and temperature-dependent properties.

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Analysis of an initially stressed functionally graded thermoelastic medium (type III) without energy dissipation

Ailawalia,

Sharma,

Marin

et al. 2024

Continuum Mech. Thermodyn.

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The current investigation deals with the deformation of a non-homogeneous thermoelastic half space under hydrostatic initial stress for the Green–Naghdi model III. The medium is supposed to be rotating with a constant angular velocity. The non-homogeneous properties of the material are along the x-direction. At the first instance, the problem has been solved analytically to obtain stress and displacement components. Further, the numerical values of these expressions are evaluated using a computer program for a particular medium. The numerical values obtained are then presented graphically to show the effect of initial stress parameter and non-homogeneity parameter on the quantities.

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Effect of inclined load on a functionally graded fiber-reinforced thermoelastic medium with temperature-dependent properties

Cited by 11 publications

References 39 publications

Nonlocal and dual‐phase‐lag effects in a transversely isotropic exponentially graded thermoelastic medium with voids

Nonlocal and dual‐phase‐lag effects in a transversely isotropic exponentially graded thermoelastic medium with voids

The Effect of Nonlocal on Poro-thermoelastic Solid with Dependent Properties on Refrence Temperature via the Three-phase-lag Model

Analysis of an initially stressed functionally graded thermoelastic medium (type III) without energy dissipation

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