Excerpt from Construction of a Three Dimensional Displacement Field From a Solution to the Von Karman Equations
In a previous report the displacements for the exact theory were expressed in terms of the vertical deflection of the middle surface and a stress function. It was expected that those formulas for the displacements could be used here to define a displacement field. However, changes were made in the formulas used here since the stress function is now an exact solution to the von Karman equations rather than an approximate solution. The method used to obtain the formulas for the displacements is the same, however, as used in We simply exhibit the formulas in rather than repeat the derivation.
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Paperback. Zustand: New. Print on Demand. This book provides an in-depth exploration of constructing three-dimensional displacement fields from solutions to the von Karman equations. These equations, developed by Theodore von Karman, are widely applicable in engineering, particularly for analyzing thin plates subjected to various types of loading. The author presents a method for defining displacement fields in terms of solutions to the von Karman equations. Through a series of mathematical derivations and estimates, the book comprehensively investigates how well the defined displacement fields satisfy the exact theory of elasticity for plates with zero body force and zero stress vectors. The book is valuable for engineers, physicists, and mathematicians working with thin plates or interested in the application of von Karman equations. By delving into the intricate relationship between displacement fields and solutions to partial differential equations, this book advances our understanding of plate mechanics and contributes to the broader field of elasticity. 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 9781332780914_0
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332780914
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781332780914
Anzahl: 15 verfügbar