General

Authors

Search


Committee login



 
 

 


 

 

Forthcoming

Small thumbnail

Baidu SEO

Challenges and Intricacies of Marketing in China

Small thumbnail

Asymmetric Alliances and Information Systems

Issues and Prospects

Small thumbnail

Technicity vs Scientificity

Complementarities and Rivalries

Small thumbnail

Freshwater Fishes

250 Million Years of Evolutionary History

Small thumbnail

Biostatistics and Computer-based Analysis of Health Data using SAS

Biostatistics and Health Science Set

Small thumbnail

Predictive Control

Small thumbnail

Fundamentals of Advanced Mathematics 1

Categories, Algebraic Structures, Linear and Homological Algebra

Small thumbnail

Swelling Concrete in Dams and Hydraulic Structures

DSC 2017

Small thumbnail

The Chemostat

Mathematical Theory of Microorganims Cultures

Small thumbnail

Earthquake Occurrence

Short- and Long-term Models and their Validation

Small thumbnail

Yield Design

Jean Salençon, École polytechnique and École des Ponts et Chaussées, ParisTech, France

ISBN: 9781848215405

Publication Date: April 2013   Hardback   256 pp.

105.00 USD


Add to cart

eBooks


Ebook Ebook

Description

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.

Downloads

DownloadTables of Contents - PDF File - 160 Kb

































0.01964 s.