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Vol.25, No.1, 2025, pp. 60–65 |
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ONE-DIMENSIONAL THERMAL SHOCK PROBLEM FOR A SEMI-INFINITE SEMICONDUCTING ROD WITH HYDROSTATIC INITIAL STRESS Praveen Ailawalia1*
1) Department of Mathematics, University Institute of Sciences, Chandigarh University, Gharuan-Mohali, Punjab, INDIA P. Ailawalia https://orcid.org/0000-0003-4381-6299 , *email: Praveen_2117@rediffmail.com 2) Department of Mathematics, Government College, Hisar, Haryana, INDIA S. Choudhary https://orcid.org/0000-0002-8432-1244
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Abstract The theory of generalised thermoelasticity is used to solve a boundary value problem of one-dimensional semi-infinite semiconducting rod with hydrostatic initial stress of length l. The left boundary of the rod is subjected to a sudden heat source. Normal mode analysis technique is applied to solve governing equations of the medium. The analytical expressions of displacement, carrier density, temperature distribution and stresses are obtained analytically. The numerical results are also presented graphically to show the effect of hydrostatic initial stress on the components. Keywords: • semiconducting • hydrostatic initial stress • heat source • carrier density |
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