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Acta Mechanica

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03-02-2020 | Original Paper

Vibration analysis of functionally graded thermoelastic nonlocal sphere with dual-phase-lag effect

Authors: Dinesh Kumar Sharma, Mitali Bachher, Santanu Manna, Nantu Sarkar

Published in: Acta Mechanica | Issue 5/2020

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Abstract

The vibration of a functionally graded axisymmetric nonlocal thermoelastic hollow sphere with dual-phase-lag effect is addressed in this paper. Surfaces of the sphere are assumed to be thermally insulated or isothermal and stress free. According to a simple power law, the material is assumed to be graded in the radial direction. The linear theory of modified thermoelasticity with a dual phase lag based on Eringen’s nonlocal elasticity is employed to model this problem. The Matrix Frobenius method of continued power series is introduced to derive the analytical solutions. The phase velocity relations for the existence of various modes of vibrations in the designed hollow sphere are derived in compact forms. In order to explore the attributes of vibrations, the fixed-point numerical iteration technique is used to solve the secular equations. The numerical computations for the material crust in respect of the natural frequencies, thermoelastic damping and the frequency shifting are presented graphically using MATLAB software tools.

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Title: Vibration analysis of functionally graded thermoelastic nonlocal sphere with dual-phase-lag effect
Authors: Dinesh Kumar Sharma
Mitali Bachher
Santanu Manna
Nantu Sarkar
Publication date: 03-02-2020
Publisher: Springer Vienna
Published in: Acta Mechanica / Issue 5/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-020-02612-y

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Vibration analysis of functionally graded thermoelastic nonlocal sphere with dual-phase-lag effect

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