Influence of Temperature Pulse on a Nickel Microbeams under Couple Stress Theory

Document Type: Research Paper

Authors

1 Department of Mathematics, College of Science and Arts, Jouf University, Gurayat, Saudi Arabia

2 Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El Manar, LR03ES04, 2092 Tunis, Tunisia

3 Department of Mathematics, Faculty of Science, Mansoura University Mansoura 35516, Egypt

Abstract

In this paper, the vibration of microbeams due to a temperature pulse has been investigated. The thermoelastic coupled equations for microbeam resonator have been derived via the modified theory of couple stress in connection with the generalized thermoelasticity with relaxation time. The analytical expressions for studied fields due to modified couple stress for the microbeam have been obtained by applying the Laplace transform method. In addition, some comparisons have been displayed in graphs to estimate the effects of different parameters such as the couple stress parameter and pulse of temperature on the considered fields. Numerical conclusions demonstrate that the estimation of deflection expected by the new theory is lower than that of the classical one. Comparisons are made with the results of different models in the absence and presence of couple stress theory. Particular cases of interest are also derived.

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Main Subjects

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