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논문 기본 정보

자료유형
학술저널
저자정보
CHANDRASHEKHAR S. SUTAR (PSGVPM’S A.S.C.COLLEGE) KAMINI K. CHAUDHARI (NEW PANVEL NAVI MUMBAI)
저널정보
한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.25 No.2
발행연도
2021.6
수록면
54 - 65 (12page)

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In this study, a two-dimensional thermoelastic problem under hyperbolic heat conduction theory with an internal heat source is considered. The general solution for the temperature field, stress components and displacement field are obtained using the reduced differential transform method. The stress and displacement components are obtained using the thermal stress function in the reduced differential transform domain. All the solutions are obtained in the form of power series. The special case with a time-dependent laser heat source has been considered. The problem is considered for homogeneous material with finite rectangular cross-section heated with a non-Gaussian temporal profile. The effect of the heat source on all the characteristics of a material is discussed numerically and graphically for magnesium material taking a pulse duration of 0.2 ps. This study provides a powerful tool for finding the solution to the thermoelastic problem with less computational work as compared to other methods. The result obtained in the study may be useful for the investigation of thermal characteristics in engineering and industrial applications.

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ABSTRACT
1. INTRODUCTION
2. MATHEMATICAL PROBLEM STATEMENT
3. SOLUTION OF THE TEMPERATURE FIELD
4. DETERMINATION OF THERMAL STRESS FUNCTION
5. DETERMINATION OF THERMAL STRESSES
6. DETERMINATION OF DISPLACEMENT FUNCTION
7. SPECIAL CASE FOR NUMERICAL AND GRAPHICAL REPRESENTATION
8. CONCLUSIONS
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