Non-Linear Theory of Elasticity and Optimal Design L W Ratner

ISBN: 9781281037541

Published: January 1st 2003

ebook

269 pages


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Non-Linear Theory of Elasticity and Optimal Design  by  L W Ratner

Non-Linear Theory of Elasticity and Optimal Design by L W Ratner
January 1st 2003 | ebook | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 269 pages | ISBN: 9781281037541 | 10.43 Mb

In order to select an optimal structure among possible similar structures, one needs to compare the elastic behavior of the structures. A new criterion that describes elastic behavior is the rate of change of deformation. Using this criterion, theMoreIn order to select an optimal structure among possible similar structures, one needs to compare the elastic behavior of the structures.

A new criterion that describes elastic behavior is the rate of change of deformation. Using this criterion, the safe dimensions of a structure that are required by the stress distributed in a structure can be calculated. The new non-linear theory of elasticity allows one to determine the actual individual limit of elasticity/failure of a structure using a simple non-destructive method of measurement of deformation on the model of a structure while presently it can be done only with a destructive test for each structure.

For building and explaining the theory, a new logical structure was introduced as the basis of the theory. One of the important physical implications of this logic is that it describes mathematically the universal domain of the possible stable physical relations.



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