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Journals / Turkish Journal of Engineering and Environmental Sciences / 2005 / Cilt: 29 - Sayı: 4

A Class of Nonisothermal Variable Thickness Rotating Disk Problems Solved by Hypergeometric Functions

Ahmet N. ERASLAN
Pages
241–269
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

A displacement formulation is used and the resulting differential equations for the elastic and plastic regions are solved in terms of hypergeometric functions by the introduction of appropriate transformations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Exact solutions for nonisothermal variable thickness rotating disks represented by different thickness profiles are obtained under plane stress assumption.
📊
Key Findings & Data:The solutions are based on Tresca's yield criterion, its associated flow rule and linear strain hardening material behavior.
💡
Conclusion & Impact:A displacement formulation is used and the resulting differential equations for the elastic and plastic regions are solved in terms of hypergeometric functions by the introduction of appropriate transformations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Thermoelastoplasticity · Tresca's criterion · Variable thickness

Abstract

Exact solutions for nonisothermal variable thickness rotating disks represented by different thickness profiles are obtained under plane stress assumption. The solutions are based on Tresca's yield criterion, its associated flow rule and linear strain hardening material behavior. Five different plastic regimes governed by different mathematical forms of the yield criterion are considered for each thickness profile. A displacement formulation is used and the resulting differential equations for the elastic and plastic regions are solved in terms of hypergeometric functions by the introduction of appropriate transformations.

Özet

Exact solutions for nonisothermal variable thickness rotating disks represented by different thickness profiles are obtained under plane stress assumption. The solutions are based on Tresca's yield criterion, its associated flow rule and linear strain hardening material behavior. Five different plastic regimes governed by different mathematical forms of the yield criterion are considered for each thickness profile. A displacement formulation is used and the resulting differential equations for the elastic and plastic regions are solved in terms of hypergeometric functions by the introduction of appropriate transformations.

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Cite This Article

ERASLAN, A. N. (2005). A Class of Nonisothermal Variable Thickness Rotating Disk Problems Solved by Hypergeometric Functions. Turkish Journal of Engineering and Environmental Sciences, Cilt: 29 - Sayı: 4, 241–269. https://ajindex.com/articles/369167

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References (10)

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