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Yield Design (Hardcover, New)
Loot Price: R2,552
Discovery Miles 25 520
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Yield Design (Hardcover, New)
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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 Salencon is Emeritus Professor at Ecole polytechnique and
Ecole des ponts et chaussees, ParisTech, France. Since 2009 he has
been a member of the Administrative Board of CNRS (Paris, France).
He has received many awards including the Legion d Honneur
(Commander), Ordre National du Merite (Officer) and Palmes
Academiques (Commander). His research interests include structure
analysis, soil mechanics and continuum mechanics.
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