Generalized Magnetothermoelasticity for Isotropic Media

Das, B.; Lahiri, A.

doi:10.1080/01495739.2014.985564

Cited by 9 publications

(4 citation statements)

References 18 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%

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%

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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“…For the solution of the vector-matrix differential equation (20), we now apply the method of eigenvalue method as in Sarkar and Lahiri [7] also in Das and Lahiri [8]. The characteristic equation of the matrix A(p) can be written as…”

Section: Solution Procedures : Eigenvalue Techniquementioning

confidence: 99%

“…Considering the regularity condition at infinity, as in Sarkar and Lahiri [7] also in Das and Lahiri [8], the general solution of equation ( 20) can be written as-…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Generalized Magnetothermoelastic Interaction for a Rotating Half Space

Das

Chakraborty

Lahiri

2018

Int. J. Appl. Comput. Math

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A generalized magnetothermoelasticity, in the context of Lord-Shulman theory, is employed to investigate the interaction of a homogeneous and isotropic perfect conducting half space with rotation. The Laplace transform for time variable is used to formulate a vectormatrix differential equation which is then solved by eigenvalue method. The continuous solution of displacement component while the discontinuous solutions of stress components, temperature distribution, induced magnetic and electric field have been analyzed in an approximate manner using assymptotic expansion for small time. The graphical representations also prove this continuity and discontinuity of the solutions.

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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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Generalized Magnetothermoelasticity for Isotropic Media

Cited by 9 publications

References 18 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

Generalized Magnetothermoelastic Interaction for a Rotating Half Space

Non-linear thermoelastic analysis of an anisotropic rectangular plate

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