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Theory Of Plasticity And Limit Design Of Plates

Author: Z. Sobotka
Publisher: Elsevier
ISBN: 1483291790
Size: 65.27 MB
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An extensive review of the theory of plasticity, limit design and limit analysis of plates is contained in this volume. Detailed descriptions are given on the plastic behaviour of homogeneous, reinforced and sandwich plates, and on the rise of various yield-line patterns. The volume differs from other books on the plastic analysis of plates by its comprehensive treatment of: the theory of yield fans connected with yield-line planning; the plastic behaviour of plates under combined loadings characterized by the load factors; statical solutions; and continuous, rectangular and skew plates. Before discussing the upper-bound solutions for various types of ultimate loads acting on isotropic, orthotropic and anisotropic plates, the kinematic conditions of the plastic behaviour of plates and the principles and methods of the yield-line theory are examined in detail. Generalized yield conditions of the second degree for orthotropic and anisotropic plates are introduced. Special attention is paid to the rise of yield fans. The concept of yield line planning is also discussed, which may be of practical interest since it indicates the possibilities for preventing the rise of yield fans. Upper-bound and lower-bound solutions for the ultimate uniform load, concentrated loads, triangular and trapexoidal loads, are presented. Similar solutions are provided for continuous loads bounded by various plane and curved surfaces and for various combinations of loads acting on rectangular, polygonal, circular, elliptic and skew plates. Solutions are given for plates on hinged supports, on free supports with elevating corners, on point supports and also for plates with built-in edges. Numerical tables are provided for determining the ultimate loads, bearing moments needed for the given load systems and the parameters of yield-line patterns. The procedures detailed in the volume will prove an indispensable reference source in the practical design of roof, ceiling and bridge slabs.

Convex Models Of Uncertainty In Applied Mechanics

Author: Y. Ben-Haim
Publisher: Elsevier
ISBN: 1483290972
Size: 40.13 MB
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Recognition of the need to introduce the ideas of uncertainty in a wide variety of scientific fields today reflects in part some of the profound changes in science and engineering over the last decades. Nobody questions the ever-present need for a solid foundation in applied mechanics. Neither does anyone question nowadays the fundamental necessity to recognize that uncertainty exists, to learn to evaluate it rationally, and to incorporate it into design. This volume provides a timely and stimulating overview of the analysis of uncertainty in applied mechanics. It is not just one more rendition of the traditional treatment of the subject, nor is it intended to supplement existing structural engineering books. Its aim is to fill a gap in the existing professional literature by concentrating on the non-probabilistic model of uncertainty. It provides an alternative avenue for the analysis of uncertainty when only a limited amount of information is available. The first chapter briefly reviews probabilistic methods and discusses the sensitivity of the probability of failure to uncertain knowledge of the system. Chapter two discusses the mathematical background of convex modelling. In the remainder of the book, convex modelling is applied to various linear and nonlinear problems. Uncertain phenomena are represented throughout the book by convex sets, and this approach is referred to as convex modelling. This book is intended to inspire researchers in their goal towards further growth and development in this field.

Advances In The Theory Of Plates And Shells

Author: George Z. Voyiadjis
Publisher: Elsevier
ISBN: 1483290964
Size: 56.32 MB
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Plates and shells play an important role in structural, mechanical, aerospace and manufacturing applications. The theory of plates and shells have advanced in the past two decades to handle more complicated problems that were previously beyond reach. In this book, the most recent advances in this area of research are documented. These include topics such as thick plate and shell analyses, finite rotations of shell structures, anisotropic thick plates, dynamic analysis, and laminated composite panels. The book is divided into two parts. In Part I, emphasis is placed on the theoretical aspects of the analysis of plates and shells, while Part II deals with modern applications. Numerous eminent researchers in the various areas of plate and shell analyses have contributed to this work which pays special attention to aspects of research such as theory, dynamic analysis, and composite plates and shells.

Problems Of Technological Plasticity

Author: B. Druyanov
Publisher: Elsevier
ISBN: 1483290379
Size: 59.28 MB
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In this book the classical rigid-plastic model of deformed workpiece and the characteristic (slipline) method of analysis is assumed. The rigid-plastic solid assumption is deemed reasonable for the problems of technological plasticity with large scale plastic flow, where small elastic stains are negligible. Along with classical results of the theory of plasticity the book includes many original analytical and numerical solutions of the problems of technological plasticity obtained by the authors in Russia and unknown for most western readers. The results of the analyses are given by analytical formulae and many graphs and tables, so the book will be useful for the practical and research engineers. It may also be used as a textbook by graduate students and engineers.

Mechanics Of Geomaterial Interfaces

Author: A.P.S. Selvadurai
Publisher: Elsevier
ISBN: 9780080544878
Size: 47.19 MB
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The subject of geomaterial interfaces recognizes the important influences of the interface behaviour on the performance of interfaces involving cementaceous materials such as concrete and steel, ice-structure interfaces, concrete-rock interfaces and interfaces encountered in soil reinforcement. During the past two decades, the subject of geomaterial interfaces has attracted the concerted attention of scientists and engineers both in geomechanics and applied mechanics. These efforts have been largely due to the observation that the conventional idealizations of the behaviour of interfaces between materials by frictionless contact, bonded contact, Coulomb friction or finite friction tend to omit many interesting and important influences of special relevance to geomaterials. The significant manner in which non-linear effects, dilatancy, contact degradation, hardening and softening, etc., can influence the behaviour of the interface is borne out by experimental evidence. As a result, in many instances, the response of the interface can be the governing criterion in the performance of a geomechanics problem. The primary objective of this volume is to provide a documentation of recent advances in the area of geomaterial interfaces. The volume consists of subject groupings which cover ice-structure, soil-structure and steel-concrete interfaces, mechanics of rock and concrete joints and interfaces in discrete systems.

Applied Plasticity

Author: Jagabandhu Chakrabarty
Publisher: Springer Science & Business Media
ISBN: 9780387988122
Size: 79.77 MB
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Mechanical engineering, an engineering discipline forged and shaped by the needs of the industrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others . The Mechanical Engineering Series features graduate texts and research monographs intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of c- centrations important to mechanical engineering graduate education and research . We are fortunate to have a distinguished roster of consulting editors on the ad- sory board, each an expert in one of the areas of concentration . The names of the consulting editors are listed on the facing page of this volume . The areas of conc- tration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics , mechanics of materials, processing, production systems, thermal science, and tribology .

Yield Design

Author: Jean Salençon
Publisher: John Wiley & Sons
ISBN: 1118649001
Size: 17.20 MB
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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 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.

Plastic Limit Analysis Of Plates Shells And Disks

Author: M.A. Save
Publisher: Elsevier
ISBN: 9780080539119
Size: 48.39 MB
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This revised and updated edition of a book first published in 1972 has kept the general features of the first edition but as could be expected after two decades there are also substantial differences. For instance optimal design has been completely deleted as the developments in this field have been so great that it warrants a book in itself. The fundamental concepts based on Drucker's postulate rather than those of Prager's assumptions function have been introduced. Problems of cyclic loading have been given some more extensive treatment, both in the general theory and in applications. General indications and references have been added for reinforced concrete plates and shells. A general presentation of the yield condition for both plates and shells has been included and the section on the influence of axial force in plates has been almost re-written. Finally, a chapter has been added exclusively devoted to the numerical approach to limit load and shake-down load evaluation. Like the previous edition the book is directed towards engineering applications. The theory is rigorously developed and is therefore of great use to engineering students in plastic limit analysis. Furthermore, applications to metal and reinforced concrete plates and shells and to metal disks are treated by both analytical and numerical approaches.