Elastic wave propagation analysis in sandwich nanoplate assuming size effects

Amir Behshad , Maryam Shokravi , Akbar Shafiei Alavijeh , Hamed Karami

Abstract

This paper presents a study on the wave propagation of functionally graded material (FGM) sandwich nanoplates with soft core resting on a Winkler foundation. The structure is modelled by classical theory. Motion equations are derived by the assumption of nonlocal Eringen theory and energy method. Then, the equations are solved using an exact method for finding phase velocity responses. The effects of Winkler foundation, nonlocal parameters, thickness and mode number on the dispersion of elastic waves are shown. With the increase of spring constant, the speed of wave propagation increases and reaches a uniform state at a higher wave number.

Key Words

exact solution; nonlocal Eringen theory; sandwich FGM nanoplate; wave propagation; Winkler foundation

Address

Amir Behshad:Faculty of Technology and Mining, Yasouj University, Choram 75761-59836, Iran Maryam Shokravi:Department of Education, Mehrab High School, Saveh, Iran Akbar Shafiei Alavijeh and Hamed Karami:Department of Civil Engineering, Jasb Branch, Islamic Azad University, Jasb, Iran

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