Thermoelastic Response of a Rectangular Plate under Hyperbolic Heat Conduction Model in Differential Transform Domain

Chaudhari, Kamini; Sutar, Chandrshekhar S.

doi:10.35940/ijeat.f9047.109119

Cited by 3 publications

(2 citation statements)

References 8 publications

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“…Dhore et al [24] studied the impacts of temperature coupling and moisture in a complex nano-beam that underwent hygrothermal loading using a two-temperature hygrothermoelastic model. Chaudhari and Sutar [25][26][27] used the differential transform approach to obtain thermoelastic issues in rectangular coordinates with and without a heat source in the framework of hyperbolic heat conduction theory. Sutar and Chaudhari [28] showed the effectiveness of RDTM in thermoelastic problems under the theory of non-Fourier heat conduction, while Pimpare et al [29] investigated the effect of a Gaussian heat source on the thermoelastic response of a solid cylinder under a reduced differential transform domain.…”

Section: Introductionmentioning

confidence: 99%

Impact of reduced differential transform under heat-moisture coupling on the hygrothermoelastic properties in cartesian coordinates

Sutar,

Patil,

Chaudhari

2024

Phys. Scr.

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The objective of this work is to analyze the effects of combined temperature and moisture in a rectangular plate under hygrothermal loading using hygrothermoelastic model. The reduced differential transform method is used to obtain the solution of temperature, moisture and stress. We have demonstrated the efficacy of the reduced differential transform approach to examine several aspects ofthe Hygrothermoelastic model. The results are illustrated numerically and graphically for porous composite material. From the study, it is observed that temperature shows a negative effect while moisture increases in a positive direction along spatial directionunder the assumed initial and boundary conditions. The stresses are affected due to hygrothermal loading.

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Section: Introductionmentioning

confidence: 99%

Impact of reduced differential transform under heat-moisture coupling on the hygrothermoelastic properties in cartesian coordinates

Sutar,

Patil,

Chaudhari

2024

Phys. Scr.

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“…Taghizadeh and Noori [15] obtained the solution of heatlike and wave-like equations with variable coeffcients using RDTM. Recently, we [16] have found the solution to a thermoelastic problem in the context of hyperbolic heat conduction using the differential transform method.…”

Section: Introductionmentioning

confidence: 99%

Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain

Chaudhari¹,

Sutar²

2021

International Journal of Applied Mechanics and Engineering

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In the present study, we have applied the reduced differential transform method to solve the thermoelastic problem which reduces the computational efforts. In the study, the temperature distribution in a two-dimensional rectangular plate follows the hyperbolic law of heat conduction. We have obtained the generalized solution for thermoelastic field and temperature field by considering non-homogeneous boundary conditions in the x and y direction. Using this method one can obtain a solution in series form. The special case is considered to show the effectiveness of the present method. And also, the results are shown numerically and graphically. The study shows that this method provides an analytical approximate solution in very easy steps and requires little computational work.

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Inverse Thermoelastic Analysis of a Thick Rectangular Plate

Bagade¹

2021

IJITEE

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Thermal stresses and displacement functions are obtained for a rectangular plate occupying the space R: -a < x < a, 0 < y < b, -h < z < h, with the known boundary and initial conditions. In this inverse problem the unknown surface temperature is determined on the boundary along the y-axis when the temperature at some internal point is known. The governing heat conduction equation has been solved by applying Marchi – Fasulo transform and Laplace transform techniques. The solutions are obtained in form of infinite series. The results for displacement and thermal stresses have been computed numerically and illustrated graphically for Aluminium plate. MSC 2010: 74A10,74J25, 74H99, 74D99

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Thermoelastic Response of a Rectangular Plate under Hyperbolic Heat Conduction Model in Differential Transform Domain

Cited by 3 publications

References 8 publications

Impact of reduced differential transform under heat-moisture coupling on the hygrothermoelastic properties in cartesian coordinates

Impact of reduced differential transform under heat-moisture coupling on the hygrothermoelastic properties in cartesian coordinates

Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain

Inverse Thermoelastic Analysis of a Thick Rectangular Plate

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