Yield Design

Nonfiction, Science & Nature, Technology, Drafting & Mechanical Drawing
Cover of the book Yield Design by Jean Salençon, Wiley
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jean Salençon ISBN: 9781118649008
Publisher: Wiley Publication: May 6, 2013
Imprint: Wiley-ISTE Language: English
Author: Jean Salençon
ISBN: 9781118649008
Publisher: Wiley
Publication: May 6, 2013
Imprint: Wiley-ISTE
Language: English

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.

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 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 Authors

Jean Salençon is Emeritus Professor at École polytechnique and École des ponts et chaussées, ParisTech, France. Since 2009 he has been a member of the Administrative Board of CNRS (Paris, France). He has received many awards including the Légion d’Honneur (Commander), Ordre National du Mérite (Officer) and Palmes Académiques (Commander). His research interests include structure analysis, soil mechanics and continuum mechanics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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 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 Authors

Jean Salençon is Emeritus Professor at École polytechnique and École des ponts et chaussées, ParisTech, France. Since 2009 he has been a member of the Administrative Board of CNRS (Paris, France). He has received many awards including the Légion d’Honneur (Commander), Ordre National du Mérite (Officer) and Palmes Académiques (Commander). His research interests include structure analysis, soil mechanics and continuum mechanics.

More books from Wiley

Cover of the book Software Quality Assurance by Jean Salençon
Cover of the book Formulas for Dynamics, Acoustics and Vibration by Jean Salençon
Cover of the book Creating Mindful Leaders by Jean Salençon
Cover of the book Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 3 by Jean Salençon
Cover of the book George Washington's Leadership Lessons by Jean Salençon
Cover of the book 1,001 Accounting Practice Problems For Dummies by Jean Salençon
Cover of the book Shockproof by Jean Salençon
Cover of the book Professional Java EE Design Patterns by Jean Salençon
Cover of the book If You Don't Make Waves, You'll Drown by Jean Salençon
Cover of the book Professionalism by Jean Salençon
Cover of the book Wiley GAAP Codification Enhanced by Jean Salençon
Cover of the book The Handbook of Linguistics by Jean Salençon
Cover of the book Handbook of Sea-Level Research by Jean Salençon
Cover of the book Mine Ventilation and Air Conditioning by Jean Salençon
Cover of the book Exploration and Analysis of DNA Microarray and Other High-Dimensional Data by Jean Salençon
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy