| Edition |
1st ed. |
| Description |
1 online resource (x, 269 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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computer disc cd rdacarrier |
| Summary |
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. |
| Bibliography |
Includes bibliographical references (pages 263-265) and index. |
| Note |
Print version record. |
| Contents |
Cover -- Non-linear Theory of Elasticity and Optimal Design -- Copyright Page -- Contents -- Preface -- Introduction -- Prologue -- Part I: Principles and Methods of NLTE -- Chapter 1. Practical problems -- Chapter 2. Foundations of the non-linear theory of elasticity -- 2.1. Summary -- 2.2. Recapture -- Chapter 3. Devising the non-linear theory of elasticity -- 3.1. Summary -- Chapter 4. Principles of logic in NLTE -- Chapter 5. Method of optimal structural design -- 5.1. Summary -- 5.2. Example of beam design -- Chapter 6. Optimal structural design (examples) -- 6.1. Tension/compression and bending -- 6.2. Beams with multiple supports -- 6.3. Deformation of plates -- Chapter 7. Optimal simple beam -- Chapter 8. On mathematics in physics -- 8.1. Summary -- Chapter 9. On the nature of the limit of elasticity -- 9.1. Summary -- Chapter 10. The stress-strain diagram -- Chapter 11. On the nature of proof in physical theory -- 11.1. Summary -- Chapter 12. History of the theory of elasticity -- Chapter 13. On the principles of the theory of elasticity -- 13.1. Summary -- United States Patent 5,654,900 (August 5, 1997) Method of and Apparatus for Optimization of Structures -- Chapter 1. Background of the invention -- 1.1. Field of the Invention -- 1.2. Description of the Prior Art -- Chapter 2. Summary of the invention -- Chapter 3. Description of illustrated exemplary teaching -- Part II: Linear Theory of Infinitesimal Deformations -- Chapter 1. Principles of LTE -- Chapter 2. Stress -- Chapter 3. Deformation -- Chapter 4. Hooke's Law -- Chapter 5. Geometric characteristics of plane areas -- Chapter 6. Combination of stresses -- 6.1. Load and Resistance Factor Design (LRFD) -- Part III: Optimization of typical structures -- Chapter 1. Introduction -- Chapter 2. Tension/compression -- Chapter 3. Torsion -- 3.1. Recapture -- Chapter 4. Bending -- 4.1. Calculation of deflections using the unit load method -- Chapter 5. Combined stresses -- Chapter 6. Continuous beam -- Chapter 7. Stability of thin shells -- 7.1. Calculation for symmetrical thin shells -- Chapter 8. Elastic stability of plates -- Chapter 9. Dynamic stresses and the non-linear theory of elasticity -- Chapter 10. Impact stresses -- 10.1. Tension impact on a bar -- 10.2. Bending impact -- Chapter 11. Testing of materials -- Appendix I. Optimal design of typical beams -- Appendix II -- Tension-compression -- Bending -- Circular cylindrical shells (membrane theory) -- Appendix III. Table for shaft calculation -- Part IV: Further Discussions in the Theory of Elasticity -- Chapter 1. Graph analysis -- 1.1. Commentary to Illustration 1 of Part I -- Chapter 2. Geometrical models of physical functions -- Chapter 3. The equa. |
| Subject |
Elastic analysis (Engineering)
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Structural design.
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Structural optimization.
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Analyse élastique (Ingénierie)
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Constructions -- Calcul.
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Optimisation des structures.
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SCIENCE -- Mechanics -- General.
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SCIENCE -- Mechanics -- Solids.
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Elastic analysis (Engineering)
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Structural design
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Structural optimization
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| Other Form: |
Print version: Ratner, Leah W. Non-linear theory of elasticity and optimal design. 1st ed. Amsterdam ; Boston : Elsevier, 2003 0444514279 9780444514271 (DLC) 2004272134 (OCoLC)53848000 |
| ISBN |
9780444514271 |
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0444514279 |
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9780080537603 (electronic bk.) |
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008053760X (electronic bk.) |
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0444509216 |
| Standard No. |
AU@ 000054400004 |
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AU@ 000062576236 |
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CHNEW 001005885 |
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DEBBG BV039830829 |
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DEBBG BV042315726 |
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DEBSZ 405303513 |
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NZ1 12433017 |
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NZ1 15191115 |
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UKMGB 017548841 |
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