Fractional Order Transient Thermoelastic Stress Analysis of a Thin Circular Sector Disk

Year 2022, Volume: 25 Issue: 1, 1 - 8, 01.03.2022

Kishor Gaikwad , Satish Khavale

https://doi.org/10.5541/ijot.820828

Cited By: 3

Abstract

Analysis of transient thermoelastic stress distribution of a thin circular sector disk with a time-fractional derivative of order α is proposed. The Neumann types of boundary conditions are used and the integral transform method and Caputo fractional derivative are used to obtain the analytical solutions of the temperature, displacement, and stresses. Numerical values of temperature, displacement, and stresses are computed for an Aluminum (pure) material and presented graphically with help of Mathcad software.

Keywords

Thermal stresses, Circular sector disk, fractional order derivative, heat conduction

Supporting Institution

Chhatrapati Shahu Maharaj Research, Training and Human Development Institute (SARTHI) for awarding the Chief Minister Special Research Fellowiship - 2019 (CMSRF - 2019).

Project Number

CMSRF - 2019

Thanks

The authors are grateful thanks to Chhatrapati Shahu Maharaj Research, Training and Human Development Institute (SARTHI) for awarding the Chief Minister Special Research Fellowiship - 2019 (CMSRF - 2019).

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