Limit Analysis of Structures at Thermal Cycling
Author: D.A. Gokhfeld
Publisher: Springer Science & Business Media
Published: 1980-11-30
Total Pages: 574
ISBN-13: 9789028604551
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Limit Analysis of Solids and Structures
Author: Jacov A. Kamenjarzh
Publisher: CRC Press
Published: 1996-07-24
Total Pages: 472
ISBN-13: 9780849328732
DOWNLOAD EBOOKSolids subjected to sufficiently large loads undergo plastic strain that does not vanish after unloading. Limit analysis is used to find out whether a given loading is safe against capacity loss due to intensive plastic deformation. Over the past 25 years, the theory and methods of limit analysis have undergone substantial development. This book gives a clear and complete presentation of the state of the art of limit analysis, including:
Direct Methods for Limit State of Materials and Structures
Author: Giovanni Garcea
Publisher: Springer Nature
Published: 2023-08-23
Total Pages: 295
ISBN-13: 3031291220
DOWNLOAD EBOOKThis book provides an overview of direct methods, such as limit and shakedown analysis, which are intended for avoiding cumbersome step-by-step calculations to determine the limit states of mechanical structures under monotone, cyclic or variable actions with unknown loading history. The book comprises several contributions that demonstrate how tremendous advances in numerical methods, especially in optimization, have contributed to the success of direct methods and their applicability to practical engineering problems in structural mechanics and mechanics of materials. The contents reflect the outcomes of the workshop “Direct Methods for Limit State of Materials and Structures,” held in Cosenza, Italy in June 2022.
Inelastic Analysis of Structures under Variable Loads
Author: Dieter Weichert
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 386
ISBN-13: 9401094217
DOWNLOAD EBOOKThe question whether a structure or a machine component can carry the applied loads, and with which margin of safety, or whether it will become unserviceable due to collapse or excessive inelastic deformations, has always been a major concern for civil and mechanical engineers. The development of methods to answer this technologically crucial question without analysing the evolution of the system under varying loads, has a long tradition that can be traced back even to the times of emerging mechanical sciences in the early 17th century. However, the scientific foundations of the theories underlying these methods, nowadays frequently called "direct", were established sporadically in the Thirties of the 20th century and systematically and rigorously in the Fifties. Further motivations for the development of direct analysis techniques in applied mechanics of solids and structures arise from the circumstance that in many engineering situations the external actions fluctuate according to time histories not a priori known except for some essential features, e.g. variation intervals. In such situations the critical events (or "limit states") to consider, besides plastic collapse, are incremental collapse (or "ratchetting") and alternating plastic yielding, namely lack of "shakedown". Non evolutionary, direct methods for ultimate limit state analysis of structures subjected to variably-repeated external actions are the objectives of most papers collected in this book, which also contains a few contributions on related topics.
Direct Methods for Limit States in Structures and Materials
Author: Konstantinos Spiliopoulos
Publisher: Springer Science & Business Media
Published: 2013-08-13
Total Pages: 281
ISBN-13: 9400768273
DOWNLOAD EBOOKKnowing the safety factor for limit states such as plastic collapse, low cycle fatigue or ratcheting is always a major design consideration for civil and mechanical engineering structures that are subjected to loads. Direct methods of limit or shakedown analysis that proceed to directly find the limit states offer a better alternative than exact time-stepping calculations as, on one hand, an exact loading history is scarcely known, and on the other they are much less time-consuming. This book presents the state of the art on various topics concerning these methods, such as theoretical advances in limit and shakedown analysis, the development of relevant algorithms and computational procedures, sophisticated modeling of inelastic material behavior like hardening, non-associated flow rules, material damage and fatigue, contact and friction, homogenization and composites.
Advances in Direct Methods for Materials and Structures
Author: Olga Barrera
Publisher: Springer
Published: 2017-08-22
Total Pages: 221
ISBN-13: 3319598104
DOWNLOAD EBOOKThis book offers a state-of-the-art overview and includes recent developments of various direct computational analysis methods. It is based on recently developed and widely employed numerical procedures for limit and shakedown analysis of structures and their extensions to a wide range of physical problems relevant to the design of materials and structural components. The book can be used as a complementary text for advanced academic courses on computational mechanics, structural mechanics, soil mechanics and computational plasticity and it can be used a research text.
Inelastic Behaviour of Structures under Variable Repeated Loads
Author: Dieter Weichert
Publisher: Springer
Published: 2014-05-04
Total Pages: 393
ISBN-13: 3709125588
DOWNLOAD EBOOKThis book deals with the safety assessment of structures and structural components, possibly operating beyond the elastic limits under variable repeated thermo-mechanical loads. Examples of such situations can be found both in mechanical and civil engineering (e.g. transportation technologies, pressure vessels, pipelines, offshore platforms, dams, pavements and buildings in seismic zones). So-called "direct” methods are focused, based on the shakedown theorems and their specialisation to limit theorems. These methods are receiving increased attention for the prediction of structural failure because they provide the information that is essential in practice (e.g. safety factor and collapse mechanisms) by more economical procedures than step-by-step inelastic analysis; also, they only need a minimum of information on the evolution of loads as functions of time. The addressed audience are primarily engineers and scientists active in Structural Engineering and Safety and Reliability Analysis.
Direct Methods
Author: Aurora Angela Pisano
Publisher: Springer Nature
Published: 2020-07-16
Total Pages: 253
ISBN-13: 3030488349
DOWNLOAD EBOOKThis book provides an overview of direct methods such as limit and shakedown analysis, which are intended to do away with the need for cumbersome step-by-step calculations and determine the loading limits of mechanical structures under monotone, cyclic or variable loading with unknown loading history. The respective contributions demonstrate how tremendous advances in numerical methods, especially in optimization, have contributed to the success of direct methods and their practical applicability to engineering problems in structural mechanics, pavement and general soil mechanics, as well as the design of composite materials. The content reflects the outcomes of the workshop “Direct Methods: Methodological Progress and Engineering Applications,” which was offered as a mini-symposium of PCM-CMM 2019, held in Cracow, Poland in September 2019.
Structural Plasticity
Author: Mao-Hong Yu
Publisher: Springer Science & Business Media
Published: 2009-11-14
Total Pages: 402
ISBN-13: 3540881522
DOWNLOAD EBOOKLimit and shakedown analysis for structures can provide a very useful tool for design and analysis of engineering structures. "Structural Plasticity - Limit, Shakedown and Dynamic Plastic Analyses of Structure" provides more general solutions of limit and shakedown analysis for structures by using a unified strength theory. A series of solutions of plates from circular, annular plates to rhombus plates and square plates, rotating discs and cylinders, pressure vessels are presented. These results encompass the Tresca-Mohr-Coulomb solution of structure as special cases. The unified solution, which cannot be obtained by using a single criterion, is suitable to more materials and structures. Maohong Yu is professor of Department of Civil Engineering at Xi'an Jiaotong University, China. He has authored 12 books including "Unified Strength Theory and Its Applications" and "Generalized Plasticity".
Inelastic Behaviour of Structures under Variable Loads
Author: Zenon Mróz
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 501
ISBN-13: 9401102716
DOWNLOAD EBOOKThis collection of papers is a state of the art presentation of theories and methods related to the problem of the behaviour of mechanical structures under variable loads beyond their elastic limit In particular, the problems of shakedown, ratchetting, transient and asymptotic cyclic states are addressed. The volume is composed of four chapters devoted to material modelling for cyclic loading conditions; general theory of accommodated states of structures; effects of changes of the geometry on the inelastic structural response; and numerical techniques with applications to particular engineering problems. It was aimed to provide a unified approach in order to understand both inelastic material and structural response under variable loading conditions. The attempt to extend the classical shakedown theory of Melan and Koiter to geometrically non-linear problems is presented in several papers. The industrial application of cyclic plasticity to the analysis and the design of pressure bellows, compensators, turbine disks, or flange connections under thermal and pressure cycles illustrates the great potential of the numerical techniques developed for this purpose using mostly min-max approaches. The treatment of railway problems and the analysis and optimisation of pavements are further examples of important areas of applications. Emphasis was laid on approaches that take into account the fact that loading histories are often not precisely known Therefore, the center of interest lies in other than step by step calculation methods.
