Description

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, 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.

Table of Contents

Introduction.
Prologue.
PART I.
Developing the reliable theory for optimal structure.
The practical problems.
Foundation of Non-Linear Theory of Elasticity.
Comparative analysis of the linear and non-linear theories.
Devising Non-linear Theory of Elasticity.
Principles of Logic in NLTE.
Method of Optimal Structural Design.
On Mathematics in Physics.
On The Nature of Limit of Elasticity.
On The Nature of Proof in Physical Theory.
History of Theory of Elasticity.
On The Principles of Non-Linear Theory.
Appendix I.
Method of and Apparatus for Optimization of Structures (US Patent Specification).
Notations.
PART II.
Linear theory of infinitesimal deformations.
The principles of LTE.
Stress.
Deformation.
Hooke's law.
Geometric characteristics.
Combination of stresses.
PA

Details

No. of pages:
279
Language:
English
Copyright:
© 2003
Published:
Imprint:
Elsevier Science
Print ISBN:
9780444514271
Electronic ISBN:
9780080537603

About the author

L.W. Ratner

Affiliations and Expertise

Chicago, IL, USA