Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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TRANSIENT THERMOELASTIC STRESS ANALYSIS OF A THIN CIRCULAR PLATE DUE TO UNIFORM INTERNAL HEAT GENERATION

  • GAIKWAD, KISHOR R. (PG DEPARTMENT OF MATHEMATICS, NES, SCIENCE COLLEGE) ;
  • NANER, YOGESH U. (PG DEPARTMENT OF MATHEMATICS, NES, SCIENCE COLLEGE)
  • Received : 2020.05.16
  • Accepted : 2020.09.07
  • Published : 2020.09.25
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Abstract

The present work aims to analyzed the transient thermoelastic stress analysis of a thin circular plate with uniform internal heat generation. Initially, the plate is characterized by a parabolic temperature distribution along the z-direction given by T = T0(r, z) and perfectly insulated at the ends z = 0 and z = h. For times t > 0, the surface r = a is subjected to convection heat transfer with convection coefficient hc and fluid temperature T∞. The integral transform method used to obtain the analytical solution for temperature, displacement, and thermal stresses. The associated thermoelastic field is analyzed by making use of the temperature and thermoelastic displacement potential function. Numerical results are carried out with the help of computational software PTC Mathcad Prime-3.1 and shown in figures.

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References

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