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ISBN: 9781118648995

ID: 9781118648995

InhaltsangabePreface xiChapter 1. Origins and Topicality of a Concept 11.1. Historical milestones 11.2. Topicality of the yield design approach 81.3. Bibliography 11Chapter 2. An Introductory Example of the Yield Design Approach 192.1. Setting the problem 192.2. Potential stability of the structure 222.3. To what extent potential stability is a relevant concept 242.4. Bibliography 28Chapter 3. The Continuum Mechanics Framework 293.1. Modeling the continuum 293.2. Dynamics 343.3. The theory of virtual work 413.4. Statically and kinematically admissible fields 463.5. Bibliography 48Chapter 4. Primal Approach of the Theory of Yield Design 514.1. Settlement of the problem 514.2. Potentially safe loads 574.3. Comments 604.4. Some usual isotropic strength criteria 664.5. Bibliography 70Chapter 5. Dual Approach of the Theory of Yield Design 735.1. A static exterior approach 735.2. A kinematic necessary condition 765.3. The &pi functions 785.4. &pi functions for usual isotropic strength criteria 845.5. Bibliography 88Chapter 6. Kinematic Exterior Approach 916.1. Equation of the kinematic exterior approach 916.2. Relevant virtual velocity fields 946.3. One domain, two approaches 100 6.4. Bibliography 107Chapter 7. Ultimate Limit State Design from the Theory of Yield Design 1117.1. Basic principles of ultimate limit state design 1117.2. Revisiting the yield design theory in the context of ULSD 1137.3. The yield design theory applied to ULSD 1147.4. Conclusion 1177.5. Bibliography 118Chapter 8. Optimality and Probability Approaches of Yield Design 1198.1. Optimal dimensioning and probabilistic approach 1198.2. Domain of potential stability 1208.3. Optimal dimensioning 1308.4. Probabilistic approach of yield design 1338.5. Bibliography 141Chapter 9. Yield Design of Structures 1459.1. The curvilinear one-dimensional continuum 1459.2. Implementation of the yield design theory 1579.3. Typical strength criteria 1649.4. Final comments 1729.5. Bibliography 174Chapter 10. Yield Design of Plates: the Model 17710.1. Modeling plates as two-dimensional continua 17710.2. Dynamics 18210.3. Theorem/principle of virtual work 19110.4. Plate model derived from the three-dimensional continuum 19810.5. Bibliography 204Chapter 11. Yield Design of Plates Subjected to Pure Bending 20511.1. The yield design problem 20511.2. Implementation of the yield design theory 20811.3. Strength criteria and &pi functions 21311.4. Final comments 22611.5. Bibliography 234Index 237 Yield Design: InhaltsangabePreface xiChapter 1. Origins and Topicality of a Concept 11.1. Historical milestones 11.2. Topicality of the yield design approach 81.3. Bibliography 11Chapter 2. An Introductory Example of the Yield Design Approach 192.1. Setting the problem 192.2. Potential stability of the structure 222.3. To what extent potential stability is a relevant concept 242.4. Bibliography 28Chapter 3. The Continuum Mechanics Framework 293.1. Modeling the continuum 293.2. Dynamics 343.3. The theory of virtual work 413.4. Statically and kinematically admissible fields 463.5. Bibliography 48Chapter 4. Primal Approach of the Theory of Yield Design 514.1. Settlement of the problem 514.2. Potentially safe loads 574.3. Comments 604.4. Some usual isotropic strength criteria 664.5. Bibliography 70Chapter 5. Dual Approach of the Theory of Yield Design 735.1. A static exterior approach 735.2. A kinematic necessary condition 765.3. The &pi functions 785.4. &pi functions for usual isotropic strength criteria 845.5. Bibliography 88Chapter 6. Kinematic Exterior Approach 916.1. Equation of the kinematic exterior approach 916.2. Relevant virtual velocity fields 946.3. One domain, two approaches 100 6.4. Bibliography 107Chapter 7. Ultimate Limit State Design from the Theory of Yield Design 1117.1. Basic principles of ultimate limit state design 1117.2. Revisiting the yield design theory in the context of ULSD 1137.3. The yield design theory applied to ULSD 1147.4. Conclusion 1177.5. Bibliography 118Chapter 8. Optimality and Probability Approaches of Yield Design 1198.1. Optimal dimensioning and probabilistic approach 1198.2. Domain of potential stability 1208.3. Optimal dimensioning 1308.4. Probabilistic approach of yield design 1338.5. Bibliography 141Chapter 9. Yield Design of Structures 1459.1. The curvilinear one-dimensional continuum 1459.2. Implementation of the yield design theory 1579.3. Typical strength criteria 1649.4. Final comments 1729.5. Bibliography 174Chapter 10. Yield Design of Plates: the Model 17710.1. Modeling plates as two-dimensional continua 17710.2. Dynamics 18210.3. Theorem/principle of virtual work 19110.4. Plate model derived from the three-dimensional continuum 19810.5. Bibliography 204Chapter 11. Yield Design of Plates Subjected to Pure Bending 20511.1. The yield design problem 20511.2. Implementation of the yield design theory 20811.3. Strength criteria and &pi functions 21311.4. Final comments 22611.5. Bibliography 234Index 237 Maschinenbau Maschinenbau - Entwurf Mechanical Engineering Mechanical Engineering - Design, John Wiley & Sons

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2009, ISBN: 9781118648995

ID: 9781118648995

Since the middle of the 20th Century yield design approaches have been identified with the lower and upper bound theorem of limit analysis theory a theory associated with perfect plasticity. This theory is very restrictive regarding the applicability of yield design approaches, which have been used for centuries for the stability of civil engineering structures. This book presents a theory of yield design within the original equilibrium/resistance framework rather than referring to the theories of plasticity or limit analysis; expressing the compatibility between the equilibrium of the considered structure and the resistance of its constituent material through simple mathematical arguments of duality and convex analysis results in a general formulation, which encompasses the many aspects of its implementation to various stability analysis problems. After a historic outline and an introductory example, the general theory is developed for the three-dimensional continuum model in a versatile form based upon simple arguments from the mathematical theory of convexity. It is then straightforwardly transposed to the one-dimensional curvilinear continuum, for the yield design analysis of beams, and the two-dimensional continuum model of plates and thin slabs subjected to bending. Field and laboratory observations of the collapse of mechanical systems are presented along with the defining concept of the multi-parameter loading mode. The compatibility of equilibrium and resistance is first expressed in its primal form, on the basis of the equilibrium equations and the strength domain of the material defined by a convex strength criterion along with the dual approach in the field of potentially safe loads, as is the highlighting of the role implicitly played by the theory of yield design as the fundamental basis of the implementation of the ultimate limit state design (ULSD) philosophy with the explicit introduction of resistance parameters.Contents1. Origins and Topicality of a Concept. 2. An Introductory Example of the Yield Design Approach. 3. The Continuum Mechanics Framework. 4. Primal Approach of the Theory of Yield Design. 5. Dual Approach of the Theory of Yield Design. 6. Kinematic Exterior Approach. 7. Ultimate Limit State Design from the Theory of Yield Design. 8. Optimality and Probability Approaches of Yield Design. 9. Yield Design of Structures. 10. Yield Design of Plates: the Model. 11. Yield Design of Plates Subjected to Pure Bending.About the AuthorsJean Salen on is Emeritus Professor at cole polytechnique and cole des ponts et chauss es, ParisTech, France. Since 2009 he has been a member of the Administrative Board of CNRS (Paris, France). He has received many awards including the L gion d Honneur (Commander), Ordre National du M rite (Officer) and Palmes Acad miques (Commander). His research interests include structure analysis, soil mechanics and continuum mechanics.; EPUB \ Douglas D. Stokke; Scientific, Technical and Medical > Technology: general issues > Engineering graphics & technical dr, Wiley

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2013, ISBN: 9781118648995

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Since the middle of the 20th Century yield design approacheshave been identified with the lower and upper bound theorem oflimit analysis theory - a theory associated with perfectplasticity. This theory is very restrictive regarding theapplicability of yield design approaches, which have been used forcenturies for the stability of civil engineering structures. This book presents a theory of yield design within the original´´equilibrium/resistance´´ framework rather thanreferring to the theories of plasticity or limit analysis;expressing the compatibility between the equilibrium of theconsidered structure and the resistance of its constituent materialthrough simple mathematical arguments of duality and convexanalysis results in a general formulation, which encompasses themany aspects of its implementation to various stability analysisproblems. After a historic outline and an introductory example, the generaltheory is developed for the three-dimensional continuum model in aversatile form based upon simple arguments from the mathematicaltheory of convexity. It is then straightforwardly transposed to theone-dimensional curvilinear continuum, for the yield designanalysis of beams, and the two-dimensional continuum model ofplates and thin slabs subjected to bending. Field and laboratoryobservations of the collapse of mechanical systems are presentedalong with the defining concept of the multi-parameter loadingmode. The compatibility of equilibrium and resistance is firstexpressed in its primal form, on the basis of the equilibriumequations and the strength domain of the material defined by aconvex strength criterion along with the dual approach in the fieldof potentially safe loads, as is the highlighting of the roleimplicitly played by the theory of yield design as the fundamentalbasis of the implementation of the ultimate limit state design(ULSD) philosophy with the explicit introduction of resistanceparameters. Contents 1. Origins and Topicality of a Concept. 2. An Introductory Example of the Yield Design Approach. 3. The Continuum Mechanics Framework. 4. Primal Approach of the Theory of Yield Design. 5. Dual Approach of the Theory of Yield Design. 6. Kinematic Exterior Approach. 7. Ultimate Limit State Design from the Theory of YieldDesign. 8. Optimality and Probability Approaches of Yield Design. 9. Yield Design of Structures. 10. Yield Design of Plates: the Model. 11. Yield Design of Plates Subjected to Pure Bending. About the Authors Jean Salençon is Emeritus Professor at Écolepolytechnique and École des ponts et chaussées,ParisTech, France. Since 2009 he has been a member of theAdministrative Board of CNRS (Paris, France). He has received manyawards including the Légion d´Honneur (Commander), OrdreNational du Mérite (Officer) and Palmes Académiques(Commander). His research interests include structure analysis,soil mechanics and continuum mechanics. Yield Design eBooks > Fremdsprachige eBooks > Englische eBooks > Sach- & Fachthemen > Technik PDF 06.05.2013 eBook, Wiley John + Sons, .201

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2013, ISBN: 9781118648995

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Since the middle of the 20th Century yield design approacheshave been identified with the lower and upper bound theorem oflimit analysis theory - a theory associated with perfectplasticity. This theory is very restrictive regarding theapplicability of yield design approaches, which have been used forcenturies for the stability of civil engineering structures. This book presents a theory of yield design within the original´´equilibrium/resistance´´ framework rather thanreferring to the theories of plasticity or limit analysis;expressing the compatibility between the equilibrium of theconsidered structure and the resistance of its constituent materialthrough simple mathematical arguments of duality and convexanalysis results in a general formulation, which encompasses themany aspects of its implementation to various stability analysisproblems. After a historic outline and an introductory example, the generaltheory is developed for the three-dimensional continuum model in aversatile form based upon simple arguments from the mathematicaltheory of convexity. It is then straightforwardly transposed to theone-dimensional curvilinear continuum, for the yield designanalysis of beams, and the two-dimensional continuum model ofplates and thin slabs subjected to bending. Field and laboratoryobservations of the collapse of mechanical systems are presentedalong with the defining concept of the multi-parameter loadingmode. The compatibility of equilibrium and resistance is firstexpressed in its primal form, on the basis of the equilibriumequations and the strength domain of the material defined by aconvex strength criterion along with the dual approach in the fieldof potentially safe loads, as is the highlighting of the roleimplicitly played by the theory of yield design as the fundamentalbasis of the implementation of the ultimate limit state design(ULSD) philosophy with the explicit introduction of resistanceparameters. Contents 1. Origins and Topicality of a Concept. 2. An Introductory Example of the Yield Design Approach. 3. The Continuum Mechanics Framework. 4. Primal Approach of the Theory of Yield Design. 5. Dual Approach of the Theory of Yield Design. 6. Kinematic Exterior Approach. 7. Ultimate Limit State Design from the Theory of YieldDesign. 8. Optimality and Probability Approaches of Yield Design. 9. Yield Design of Structures. 10. Yield Design of Plates: the Model. 11. Yield Design of Plates Subjected to Pure Bending. About the Authors Jean SalenÃ on is Emeritus Professor at Ãcolepolytechnique and Ãcole des ponts et chaussÃ©es,ParisTech, France. Since 2009 he has been a member of theAdministrative Board of CNRS (Paris, France). He has received manyawards including the LÃ©gion d´Honneur (Commander), OrdreNational du MÃ©rite (Officer) and Palmes AcadÃ©miques(Commander). His research interests include structure analysis,soil mechanics and continuum mechanics. Yield Design eBook PDF 06.05.2013 eBooks>Fremdsprachige eBooks>Englische eBooks>Sach- & Fachthemen>Technik, John Wiley & Sons, .201

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2013, ISBN: 9781118648995

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** Details of the book - Yield Design**

EAN (ISBN-13): 9781118648995

ISBN (ISBN-10): 1118648994

Publishing year: 2013

Publisher: Wiley, J

Language: eng/Englisch

Book in our database since 24.08.2010 18:06:40

Book found last time on 16.12.2017 15:38:00

ISBN/EAN: 9781118648995

ISBN - alternate spelling:

1-118-64899-4, 978-1-118-64899-5

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