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Non-Linear Theory for the Deformation of Pre-Stressed Circular Plates and Rings (Classic Reprint) - Softcover
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Excerpt from Non-Linear Theory for the Deformation of Pre-Stressed Circular Plates and Rings
It has been conjectured by Professor j.j. Stoker that solutions to non-linear elasticity problems are generally smoother in some sense than solutions to the corresponding linear problems. More specifically, If the solution to the linear problem has a singularity, the conjecture is that the solution to the non-linear problem will in many cases not have a singularity. Professor Stoker suggested that pre-stressed circular plates and rings would be examples of this phenom enon. It was this suggestion which led to the investigation presented here.
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Non-Linear Theory for the Deformation of Pre-Stressed Circular Plates and Rings
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Print on Demand. This book explores the application of non-linear elasticity to the study of pre-stressed circular plates and rings, extending upon the linear theory and opening up new avenues for research. The author, a respected mathematician, provides an in-depth analysis of the subject, delving into the equilibrium equations, boundary conditions, and the positive Jacobian condition, both in the linear and non-linear treatments. The book examines the phenomenon of stress singularities in the linear theory and demonstrates how these singularities are resolved when the non-linear theory is employed, confirming the conjecture that solutions to non-linear elasticity problems are generally smoother than those of the corresponding linear problems. The author's work contributes to a deeper understanding of the behavior of pre-stressed circular plates and rings, offering valuable insights for researchers and engineers working in the fields of mechanics and applied mathematics. 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. print-on-demand item. Seller Inventory # 9781332924844_0
Quantity: Over 20 available
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NonLinear Theory for the Deformation of PreStressed Circular Plates and Rings Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332924844
Quantity: 15 available
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NonLinear Theory for the Deformation of PreStressed Circular Plates and Rings Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332924844
Quantity: 15 available