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Open AccessArticle

Wave Dispersion in Multilayered Reinforced Nonlocal Plates under Nonlinearly Varying Initial Stress

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School of Mechanical Engineering, Borjavaran Center of Applied Science and Technology, Velenjak Campus, University of Applied Science and Technology, Tehran 1594835111, Iran
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Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 8415683111, Iran
*
Author to whom correspondence should be addressed.
Eng 2020, 1(1), 31-47; https://doi.org/10.3390/eng1010003
Received: 9 July 2020 / Revised: 7 August 2020 / Accepted: 16 September 2020 / Published: 21 September 2020
This paper deals with the effects of initial stress on wave propagations in small-scale plates with shape memory alloy (SMA) nanoscale wires. The initial stress is exerted on the small-scale plate along both in-plane directions. A scale-dependent model of plates is developed for taking into consideration size influences on the wave propagation. In addition, in order to take into account the effects of SMA nanoscale wires, the one-dimensional Brinson’s model is applied. A set of coupled differential equations is obtained for the non-uniformly prestressed small-scale plate with SMA nanoscale wires. An exact solution is obtained for the phase and group velocities of the prestressed small-scale system. The influences of non-uniformly distributed initial stresses as well as scale and SMA effects on the phase and group velocities are explored and discussed. It is found that initial stresses as well as the orientation and volume fraction of SMA nanoscale wires can be used as a controlling factor for the wave propagation characteristics of small-scale plates. View Full-Text
Keywords: wave propagation; shape memory alloy; nanoscale wires; prestressed plates wave propagation; shape memory alloy; nanoscale wires; prestressed plates
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MDPI and ACS Style

Farajpour, M.R.; Shahidi, A.R.; Farajpour, A. Wave Dispersion in Multilayered Reinforced Nonlocal Plates under Nonlinearly Varying Initial Stress. Eng 2020, 1, 31-47. https://doi.org/10.3390/eng1010003

AMA Style

Farajpour MR, Shahidi AR, Farajpour A. Wave Dispersion in Multilayered Reinforced Nonlocal Plates under Nonlinearly Varying Initial Stress. Eng. 2020; 1(1):31-47. https://doi.org/10.3390/eng1010003

Chicago/Turabian Style

Farajpour, Mohammad R.; Shahidi, Ali R.; Farajpour, Ali. 2020. "Wave Dispersion in Multilayered Reinforced Nonlocal Plates under Nonlinearly Varying Initial Stress" Eng 1, no. 1: 31-47. https://doi.org/10.3390/eng1010003

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