THERMAL STRESSES IN TWO-LAYER COMPOSITE SLAB WITH DISCONTINUOUS AT THE INTERFACE

Authors

  • W.K. Dange Department of Mathematics, Shree. Shivaji Arts Commerce and Science College Rajura
  • Yashraj A.Raipure Computer Engineering, S.P.P.U.

DOI:

https://doi.org/10.29121/shodhkosh.v5.i6.2024.3507

Keywords:

Temperature Distribution, Thermal Stresses, Composite, Interface, Slab, Two-Layer

Abstract [English]

This paper is concerned with the determination of temperature distribution T_i (y), i=1,2 and thermal stresses σ_xi of the transient thermoelastic problem of two-layer composite slabs with outer surfaces at y=-h_1 and y=h_2 and interface at y=0.Let b is the width of the slab which is the same for both the layers and h_i , i=1,2 is the height of each layer. Initially, both the layers of the slab are kept at T_0 temperature. For time t>0 the outer boundary surfaces y=-h_1 and y= h_2 are kept at zero prescribed temperature. The properties of the solid are uniform with each layer but discontinuous at the interface at y=0. The solution can be determined with prescribed initial and boundary conditions and expressed graphically.

References

A. Vattr´ ea, E. Panb ,” Thermoelasticity of multilayered plates with imperfect interfaces ” University Paris-Saclay, ONERA, Preprint submitted to Elsevier November 26, 2020.

Adams R. J. and Best C. W. : Thermoelastic vibrations of a laminated rectangular plate subjected to a thermal shock, Journal of Thermal Stresses ; Vol. 22(1999) , pp. 875-895. DOI: https://doi.org/10.1080/014957399280607

David W. Hahn M. Necati Ozisik , Heat Conduction, Third Edition , John Wiley & Sons, Inc. ,1964 .

Huang Sheng Natalya Vaysfeld Zinaida Zhuravlova,” Uncoupled thermoelasticity problem for a finite rectangular composite ”, Received: 4 July 2024 Revised: 9 September 2024 Accepted: 19 September 2024, ZAMM - Journal of Applied Mathematics and Mechanics,

Laxman V Bharambe , Prof.Hemant R Nehete,” Stress Analysis Of Composite Plate With Elliptical And Rectangular Cuttouts By Finite Element Method ”,International Research Journal of Modernization in Engineering Technology and Science ,Volume:02/Issue:05/May-2020 .

Naotake Noda, Richard B. Hetnarski, Yashinobu Tanigawa, Thermal stresses, Second ed. Taylor and Francis, New York (2003).

W. K. Dange, N.W. Khobragade ,"Three-Dimensional Inverse Steady-State Thermoelastic Problem Of A Thin Rectangular Plate” Bulletin Of The Calcutta Mathematical Society. 01/2009; 101(3).

W. K. Dange,“Determination Of Thermal Stresses Of A Three Dimensional Transient Thermoelastic Problem Of A Square Plate Under Unsteady Temperature Field” International Journal Of Physics And Mathematical Sciences , Issn: 2277-2111 (Online) 2014 Vol. 4 (1) ,January-April, Pp.34-40/Dange.

Downloads

Published

2024-06-30

How to Cite

Dange, W., & Raipure, Y. A. (2024). THERMAL STRESSES IN TWO-LAYER COMPOSITE SLAB WITH DISCONTINUOUS AT THE INTERFACE. ShodhKosh: Journal of Visual and Performing Arts, 5(6), 2950–2955. https://doi.org/10.29121/shodhkosh.v5.i6.2024.3507