| Description |
1 online resource (xvi, 554 pages) : illustrations |
| Series |
Series on engineering mechanics ; vol. 2 |
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Series on engineering mechanics ; vol. 2
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| Contents |
Ch. 1. Engineering theory of elastic-plastic bending of beams. 1.1. Early theories on bending. 1.2. Development of engineering theory of bending. 1.3. Pure bending and springback of straight beams: General formulation. 1.4. Symmetric bending of elastic, perfectly plastic beams. 1.5. Asymmetric pure bending and springback of beams. 1.6. Effect of strain-hardening on bending and springback. 1.7. Influence of shear forces. 1.8. Influence of axial force -- ch. 2. Mathematical theory of plastic bending. 2.1. Defects of engineering theory of plastic bending. 2.2. Mechanism of plastic bending of plates. 2.3. Mathematical theory of plastic bending of plates under plane-strain condition. 2.4. Bending theory of strain-hardening plates. 2.5. Bending theory of plates with real stress-strain relation. 2.6. On the range of applicability of the engineering theory of plastic bending. 2.7. Elastic-plastic bending of beams under plane-stress condition. 2.8. Slip-line field and upper-bound solutions to bending problems -- ch. 3. Large elastic-plastic deflection of flexible beams. 3.1. The necessity of studying the large deflection of flexible beams. 3.2. Elastica. 3.3. Plastica. 3.4. Elastic-plastic post-buckling of an euler strut. 3.5. Large elastic-plastic deflection of a cantilever beam subjected to a concentrated force at its tip -- ch. 4. Bending of strips in cylindrical dies. 4.1. Experimental study of bending of strips in cylindrical dies. 4.2. Modelling of bending of strips in cylindrical dies. 4.3. Bending of circular bars in cylindrical dies. 4.4. Influence of strain-hardening on the bending behaviour of strips -- ch. 5. Numerical solutions to single-curvature bending problems. 5.1. The finite element method. 5.2. A semi-numerical method -- ch. 6. Axisymmetric bending of circular plates. 6.1. Introduction. 6.2. Fundamental equations of thin circular plates. 6.3. Large elastic-plastic deflection of circular plates subjected to edge bending moments. 6.4. The perturbation method for circular plates under ring loads. 6.5. Iso-deflection method for elastic-plastic bending -- ch. 7. Pressing circular rates into hemispherical dies. 7.1. Experimental study. 7.2. Elastic behaviour of a circular plate loaded by a hemispherical punch. 7.3. Plastic deformation and springback of a simply-supported circular plate pressed by a hemispherical punch -- ch. 8. Pressing rectangular hates into doubly-curved dies. 8.1. Elementary theory of plate bending for small deflections. 8.2. Stamping rectangular plates into doubly-curved dies: Experiments. 8.3. Stamping rectangular plates into doubly-curved dies: Modelling -- ch. 9. Numerical methods for double-curvature bending. 9.1. Introduction. 9.2. The dynamic relaxation method. 9.3. Consistent technique for plasticity computation. 9.4. Contact treatment. 9.5. Axisymmetric stamping of circular plates. 9.6. Applicability of deformation theory of plasticity. 9.7. The method of weighted residuals -- ch. 10. Wrinkling of circular plates and flanges. 10.1. Wrinkling: Causes, criteria and problems. 10.2. Wrinkling of a flange during deep-drawing. 10.3. Wrinkling of circular plates under edge bending moments. 10.4. Experimental study of wrinkling of circular plates. 10.5. Approximate analysis of wrinkling of circular plates. 10.6. General solution for wrinkling of plates under arbitrary loads. 10.7. Further remarks -- ch. 11. Further applications of plastic bending theory. 11.1. Cross-roll straightening of circular bars. 11.2. Large deformation of a perfectly plastic circular ring under compression. 11.3. Elastic-plastic lateral buckling of narrow beams subjected to bending and axial force. 11.4. Stretch-bending of thin-walled channels. 11.5. Stamping by deformable forming tools. 11.6. Nosing of thin-walled circular tubes. 11.7. Flattening and local buckling of pipes in bending |
| Summary |
From the point of view of mechanics, this monograph systematically demonstrates the theory of plastic bending and its engineering applications; most of the contents of the book are based on the authors' research in the past decade. The monograph not only expounds the contributions of the authors to the fundamental theory of plastic bending, but also presents various applications of the theory in sheet metal forming, particularly in the analysis and prediction of springback and wrinkling of strips and plates subjected to bending or stamping. In addition to theoretical modelling, attention has also been paid to the development of related numerical methods; comparisons with experimental results are also presented |
| Bibliography |
Includes bibliographical references (pages 541-547) and index |
| Notes |
Print version record |
| Subject |
Plastic analysis (Engineering)
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Plasticity.
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plastic design.
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plasticity.
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SCIENCE -- Nanoscience.
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Plastic analysis (Engineering)
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Plasticity
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PLASTICS.
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BENDING THEORY.
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BENDING.
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PLASTIC DEFORMATION.
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STRESS ANALYSIS.
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Analyse numérique -- Matières plastiques -- Déformations (mécanique)
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| Form |
Electronic book
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| Author |
Zhang, L. C. (Liangchi)
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| ISBN |
9789812797070 |
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9812797076 |
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