Электронная книга: Jean Salencon «Yield Design»

Yield Design

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 argumentsfrom 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 convexstrength 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.

Издательство: "John Wiley&Sons Limited"

ISBN: 9781118648995

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Jean Salencon

Jean Salençon

Jean Salençon est un scientifique français.

Ancien élève de l’École polytechnique (X1959), de l’École nationale des ponts et chaussées et docteur ès sciences, il a été professeur à l’École nationale des ponts et chaussées de 1965 à 2000. Il a également été professeur à l’École polytechnique jusqu’en 2005. Il exerce son activité de recherche au Laboratoire de mécanique des solides à l’École polytechnique.

Jean Salençon est depuis 2004 recteur non résidant du CISM (Centre international des sciences mécaniques) à Udine (Italie). Il est en outre depuis 1988 membre de l'Académie des sciences (section mécanique), et son vice-président pour les années 2007-2008; il est en outre membre fondateur de l'Académie des technologies.

Il a été élu en décembre 2008 président de l'Académie des sciences pour la période 2009-2010. A ce titre, il est président de l'Institut de France pour 2009.

Ouvrages

  • L'Art de l'ingénieur de Perronet à Caquot : l'innovation scientifique liée à la pratique avec Élisabeth Vitou et Jean-Pierre Giblin, Annales des Ponts et Chaussées, Presses Ponts et Chaussées, 2004
  • De l'élasto-plasticité au calcul à la rupture, Coll. Cours X, École polytechnique, 2002
  • Mécanique des milieux continus (3 tomes : Concepts généraux, Thermoélasticité et Milieux curvilignes), Coll. Universités francophones, Ellipses Marketing, 1998
  • Calcul à la rupture et analyse limite, Presses de l'École nationale des Ponts et Chaussées, 1992
  • Viscoélasticité, coll. Cours de calcul des structures anélastiques, Presses de l'École nationale des Ponts et Chaussées, 1983
  • Portail de la physique
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Источник: Jean Salencon

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