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Non-Linear Theory for the Deformation of Pre-Stressed Circular Plates and Rings (Classic Reprint) - Softcover

 
9781332924844: Non-Linear Theory for the Deformation of Pre-Stressed Circular Plates and Rings (Classic Reprint)

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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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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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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.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Chester B. Sensenig
Verlag: Forgotten Books, 2018
ISBN 10: 1332924840 ISBN 13: 9781332924844
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Chester B. Sensenig
Verlag: Forgotten Books, 2018
ISBN 10: 1332924840 ISBN 13: 9781332924844
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Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich

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Chester B. Sensenig
Verlag: Forgotten Books, 2018
ISBN 10: 1332924840 ISBN 13: 9781332924844
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781332924844_0

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