Estimates for Stress Derivatives and Error in Interior Equations for Shells of
Language: English
Published by Forgotten Books, 2022
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 18.26
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book delves into the world of thin shells and plates, providing engineers and scientists with a deep understanding of their behavior under various forces. The author presents a comprehensive analysis of the differential equations governing the stresses and strains within these structures, extending the work of Fritz John to incorporate variable thickness and external forces. By establishing rigorous bounds on the derivatives of stresses, the book lays the groundwork for the formulation of approximate equations that accurately describe the behavior of real-world shells. These equations, akin to the von Karman equations for constant-thickness plates, account for the varying thickness and loading conditions encountered in practical applications. The insights gained from this book are crucial for designing and analyzing thin-walled structures, such as aircraft fuselages, ship hulls, and pressure vessels, ensuring their stability and performance under demanding conditions. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781332125180_0
- Title
- Estimates for Stress Derivatives and Error in Interior Equations for Shells of
- Author
- Neil Berger
- Publisher
- Forgotten Books
- Publication year
- 2022
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1332125182
- ISBN 13
- 9781332125180
- Seller catalogs
- Calculus
Rigorous two‑dimensional shell equations with error estimates for variable thickness
This book derives two‑dimensional equations from the full three‑dimensional theory of nonlinear elasticity to describe shells whose thickness varies and who are loaded on their surfaces and bodies. It shows how precise estimates of stresses and their derivatives can be obtained from the energy approach, even when the shell is shallow or its thickness changes smoothly.
The text explains the assumptions needed to make the reduction valid, and it connects the resulting interior shell equations to classical results like those of v. Karman for plates. It also explains how to incorporate body and surface forces and how these estimates translate into practical equations you can use to analyze deformed shells in engineering problems.Bullet highlights you’ll experience:
- A clear path from three‑dimensional elasticity to two‑dimensional shell equations with controlled error terms
- Techniques to bound stresses and derivatives using energy methods and Sobolev‑type results
- Treatment of variable thickness, curvature, and applied forces within a unified framework
- Connections to established theories for plates and shells under various loading conditions
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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