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A Quasi-Static Approach for Inverse Hygrothermal Problem and Stress Analysis in Semi-Infinite Circular Plates

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Abstract

This innovative research delves into the novel exploration of the hygrothermal behavior of T300/5208 material circular plates under diverse temperature and moisture conditions, employing advanced mathematical models and analytical techniques. Addressing coupled hygrothermal equations, this study uncovers the intricate interplay between moisture and temperature within cylindrical structures, a phenomenon not comprehensively studied before. The findings, elegantly expressed through Bessel's functions, present a significant discovery: simultaneous exposure to moisture and temperature profoundly alters the behavior of cylindrical structures, contrasting with isolated conditions. The research contributes technically by dissecting temperature distribution and identifying compressive radial stress and a time-dependent increase in angular stress in specific regions, offering nuanced insights that enhance our understanding of hygrothermal responses. Its logical importance lies in optimizing hygrothermal performance, thereby improving design, analysis, and performance enhancement methodologies across engineering applications. This study not only advances scientific knowledge but also provides invaluable insights for engineers and researchers.

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All data that support the work are available by reasonable request by the corresponding author.

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  1. Department of Mathematics, RTM Nagpur University, Nagpur, India

    G. D. Kedar & Tasneem Firdous Islam

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  1. G. D. Kedar
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Correspondence to Tasneem Firdous Islam.

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Kedar, G.D., Islam, T.F. A Quasi-Static Approach for Inverse Hygrothermal Problem and Stress Analysis in Semi-Infinite Circular Plates. Int. J. Appl. Comput. Math 10, 6 (2024). https://doi.org/10.1007/s40819-023-01632-1

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