A Generalized Thermoelastic Problem of Functionally Graded Spherical Cavity

Das, B.; Lahiri, A.

doi:10.1080/01495739.2015.1073517

Cited by 8 publications

(5 citation statements)

References 9 publications

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“…As in Das, Chakraborty and Lahiri [8] also in Das and Lahiri [7], Eqs. (20)(21)(22) can be written as: 𝐷𝑣(𝑥, 𝜓, 𝑠) = 𝐴(𝜓, 𝑠)𝑣(𝑥, 𝜓, 𝑠) , 𝐷 ≡ 𝑑 𝑑𝑥 ,…”

Section: Solution Procedures In Laplace and Fourier Transform Domainmentioning

confidence: 81%

“…For the solution of the vector-matrix differential equation ( 23), we now apply the method of Eigen value method as in Das, Chakraborty and Lahiri [9] also in Das and Lahiri [8]. The characteristic equation of the matrix 𝐴(𝜓, 𝑠) can be written as:…”

Section: Solution Procedures In Laplace and Fourier Transform Domainmentioning

confidence: 99%

“…Considering the regularity condition at infinity, as in Das, Chakraborty and Lahiri [9] also in Das and Lahiri [8], the general solution of the vector-matrix differential Eq. ( 23) can be written as:…”

Section: Solution Procedures In Laplace and Fourier Transform Domainmentioning

confidence: 99%

See 2 more Smart Citations

Eigen value approach with memory dependant derivative on homogeneous isotropic infinitely extended rotating plate of a finite thickness in absence of heat source

Chakraborty¹,

Lahiri²,

Das³

2022

J., eng., them. sci.

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Our present manuscript is an attempt to derive a model of generalized thermoelasticity with dual phase lag heat conduction by using the methodology of memory dependent derivative for a isotropic rotating plate subject to the prescribed boundary conditions with constant magnetic and electric intensities. Two integral transform such as Laplace transform for time variable and Fourier transform for space variable are employed to the governing equations to formulate vector-matrix differential equation which is then solved by eigenvalue approach methodology. The inversion of two integral transformations is carried out using suitable numerical techniques. Numerical computations for displacement, thermal strain and stress component, temperature distribution are evaluated and presented graphically under influences of different physical parameters.

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Section: Solution Procedures In Laplace and Fourier Transform Domainmentioning

confidence: 81%

Section: Solution Procedures In Laplace and Fourier Transform Domainmentioning

confidence: 99%

See 1 more Smart Citation

Eigen value approach with memory dependant derivative on homogeneous isotropic infinitely extended rotating plate of a finite thickness in absence of heat source

Chakraborty¹,

Lahiri²,

Das³

2022

J., eng., them. sci.

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“…Kanoria and Ghosh [ 29 ] examined thermoelastic exchanges in an FG hollow sphere in the framework of the G–L model. Das and Lahiri [ 30 ] considered a thermoelastic problem for an unbounded FG and temperature-dependent spherical inclusion in the framework of G–L theory.…”

Section: Introductionmentioning

confidence: 99%

Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories

2022

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This article introduces magneto-thermoelastic exchanges in an unbounded medium with a spherical cavity. A refined multi-time-derivative dual-phase-lag thermoelasticity model is applied for this reason. The surface of the spherical hole is considered traction-free and under both constant heating and external magnetic field. A generalized magneto-thermoelastic coupled solution is developed utilizing Laplace’s transform. The field variables are shown graphically and examined to demonstrate the impacts of the magnetic field, phase-lags, and other parameters on the field quantities. The present theory is examined to assess its validity including comparison with the existing literature.

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“…Vel and Batra [3] also gave the three-dimensional exact solution for the vibration of functionally graded rectangular plate. Das and Lahiri [4], [5] illustrated the generalized thermoelastic solutions with or without electro magnetic field for functionally graded isotropic spherical cavity.…”

Section: Introductionmentioning

confidence: 99%

Non-linear thermoelastic analysis of an anisotropic rectangular plate

Das

Chakraborty

Lahiri

2019

Mechanics of Advanced Materials and Structures

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Three-dimensional thermoelastic analysis in presence of electro magnetic field is investigated of a rectangular plate. In the context of Green-Naghdi model-II, fractional order energy equation is adopted for a rotating anisotropic rectangular plate which is subjected to simply supported and isothermal on its four lateral edges. Normal mode analysis is adopted to the governing equations to formulate a Vector-matrix differential equation. The analytical closed form solution of the Vector-matrix differential equation is obtained for the physical parameters using eigen value approach methodology. Numerical results are represented graphically with a sinusoidal spatial variations of the stress applied on the top surface of the plate.

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A Generalized Thermoelastic Problem of Functionally Graded Spherical Cavity

Cited by 8 publications

References 9 publications

Eigen value approach with memory dependant derivative on homogeneous isotropic infinitely extended rotating plate of a finite thickness in absence of heat source

Eigen value approach with memory dependant derivative on homogeneous isotropic infinitely extended rotating plate of a finite thickness in absence of heat source

Magneto-Thermoelastic Response in an Unbounded Medium Containing a Spherical Hole via Multi-Time-Derivative Thermoelasticity Theories

Non-linear thermoelastic analysis of an anisotropic rectangular plate

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