Download or read book Prestressed Bodies written by Dorin Ieşan and published by Longman Scientific and Technical. This book was released on 1989 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Begins with a mathematical study of the initially stressed elastic bodies, followed by treatment of the theory of infinitesimal thermoelastic deformations of superimposed on a large one. Also includes the theory of infinitesimal displacements and weal fields superimposed on finite deformations in an elastic dialectric. Annotation copyrighted by Book News, Inc., Portland, OR
Download or read book Calculus of Variations on Thin Prestressed Films written by Marta Lewicka and published by Springer Nature. This book was released on 2023-04-17 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers the analytical and geometrical questions emerging from the study of thin elastic films that exhibit residual stress at free equilibria. It provides the comprehensive account, the details and background on the most recent results in the combined research perspective on the classical themes: in Differential Geometry – that of isometrically embedding a shape with a given metric in an ambient space of possibly different dimension, and in Calculus of Variations – that of minimizing non-convex energy functionals parametrized by a quantity in whose limit the functionals become degenerate. Prestressed thin films are present in many contexts and applications, such as: growing tissues, plastically strained sheets, engineered swelling or shrinking gels, petals and leaves of flowers, or atomically thin graphene layers. While the related questions about the physical basis for shape formation lie at the intersection of biology, chemistry and physics, fundamentally they are of the analytical and geometrical character, and can be tackled using the techniques of the dimension reduction, laid out in this book. The text will appeal to mathematicians and graduate students working in the fields of Analysis, Calculus of Variations, Partial Differential Equations, and Applied Math. It will also be of interest to researchers and graduate students in Engineering (especially fields related to Solid Mechanics and Materials Science), who would like to gain the modern mathematical insight and learn the necessary tools.
Download or read book Prestressed Concrete Structures written by Praveen Nagarajan and published by Pearson Education India. This book was released on 2013 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is suited for a first course in pre-stressed concrete design offered to senior undergraduate students in civil engineering and postgraduate students in structural engineering. The book focuses on the behaviour of the pre-stressed concrete structural elements. Carefully-chosen worked examples are included to delineate the design aspects while relevant chapter-end questions enable effortless recapitulation of the subject. The content, while being useful to both the students and teachers, will also serve as an invaluable reference for engineers.
Download or read book Stability and Bifurcation of Structures written by Angelo Luongo and published by Springer Nature. This book was released on 2023-06-27 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book overcomes the separation existing in literature between the static and the dynamic bifurcation worlds. It brings together buckling and post-buckling problems with nonlinear dynamics, the bridge being represented by the perturbation method, i.e., a mathematical tool that allows for solving static and dynamic problems virtually in the same way. The book is organized as follows: Chapter one gives an overview; Chapter two illustrates phenomenological aspect of static and dynamic bifurcations; Chapter three deals with linear stability analysis of dynamical systems; Chapter four and five discuss the general theory and present examples of buckling and post-buckling of elastic structures; Chapter six describes a linearized approach to buckling, usually adopted in the technical literature, in which pre-critical deformations are neglected; Chapters seven to ten, analyze elastic and elasto-plastic buckling of planar systems of beams, thin-walled beams and plate assemblies, respectively; Chapters eleven to thirteen, illustrate dynamic instability phenomena, such as flutter induced by follower forces, aeroelastic bifurcations caused by wind flow, and parametric excitation triggered by pulsating loads. Finally, Chapter fourteen discusses a large gallery of solved problems, concerning topics covered in the book. An Appendix presents the Vlasov theory of open thin-walled beams. The book is devoted to advanced undergraduate and graduate students, as well as engineers and practitioners. The methods illustrated here are immediately applicable to model real problems. The Book Introduces, in a simple way, complex concepts of bifurcation theory, by making use of elementary mathematics Gives a comprehensive overview of bifurcation of linear and nonlinear structures, in static and dynamic fields Contains a chapter in which many problems are solved, either analytically or numerically, and results commented
Download or read book Fundamentals of the Three Dimensional Theory of Stability of Deformable Bodies written by A.N. Guz and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the present time stability theory of deformable systems has been developed into a manifold field within solid mechanics with methods, techniques and approaches of its own. We can hardly name a branch of industry or civil engineering where the results of the stability theory have not found their application. This extensive development together with engineering applications are reflected in a flurry of papers appearing in periodicals as well as in a plenty of monographs, textbooks and reference books. In so doing, overwhelming majority of researchers, con cerned with the problems of practical interest, have dealt with the loss of stability in the thin-walled structural elements. Trying to simplify solution of the problems, they have used two- and one-dimensional theories based on various auxiliary hypotheses. This activity contributed a lot to the preferential development of the stability theory of thin-walled structures and organisation of this theory into a branch of solid mechanics with its own up-to-date methods and trends, but left three-dimensional linearised theory of deformable bodies stability (TL TDBS), methods of solving and solutions of the three-dimensional stability problems themselves almost without attention. It must be emphasised that by three dimensional theories and problems in this book are meant those theories and problems which do not draw two-dimensional plate and shell and one-dimensional rod theories.
Download or read book Prestressed Concrete Design written by M.K. Hurst and published by CRC Press. This book was released on 2017-12-21 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prestressed concrete is widely used in the construction industry in buildings, bridges, and other structures. The new edition of this book provides up-to-date guidance on the detailed design of prestressed concrete structures according to the provisions of the latest preliminary version of Eurocode 2: Design of Concrete Structures, DD ENV 1992-1-1: 1992. The emphasis throughout is on design - the problem of providing a structure to fulfil a given purpose - but fundamental concepts are also described in detail. All major topics are dealt with, including prestressed flat slabs, an important and growing application in the design of buildings. The text is illustrated throughout with worked examples and problems for further study. Examples are given of computer spreadsheets for typical design calculations. Prestressed Concrete Design will be a valuable guide to practising engineers, students and research workers.
Download or read book Textile Composites and Inflatable Structures written by Eugenio Oñate and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects state-of-the-art research and technology for design, analysis, construction and maintenance of textile and inflatable structures. Textile composites and inflatable structures have become increasingly popular for a variety of applications in OCo among many other fieldsaOCo civil engineering, architecture and aerospace engineering. Typical examples include membrane roofs and covers, sails, inflatable buildings and pavilions, airships, inflatable furniture, airspace structures etc. The book contains 18 invited contributions written by distinguished authors who participated in the International Conference on Textile Composites and Inflated Structures held in Barcelona from June 30th to July 2nd, 2003. The meeting was one of the Thematic Conferences of the European Community on Computational Methods in Applied Sciences (ECCOMAS). The different chapters discuss recent progress and future research directions in membrane and inflatable structures built with new textile composite materials. Approximately half of the book focuses on describing innovative numerical methods for structural analysis of such structures, such as new nonlinear membrane and shell finite elements. The rest of the chapters present advances in design, construction and maintenance procedures."
Download or read book Advances in Mechanics written by Aleksander N. Guz and published by Springer Nature. This book was released on 2023-10-03 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers research from modern directions in solid mechanics, in particular, in the fields of mechanics of composite materials, fracture mechanics, strength of materials and structures, thermo-viscoelasticity and plasticity, mechanics of shell structures, contact mechanics, theory of wave propagation, dynamics of mechanical and hydromechanical systems. The book presents some new results in the main research directions in mechanics on which the institutions of the National Academy of Sciences of Ukraine are focused. In addition to these studies, the results of joint scientific projects of the academic institutions with universities and research institutions of Ukraine are presented. The work is dedicated to the 145th anniversary of Stepan Prokopovich Timoshenko, the world-famous scientist in the field of mechanics, the founder of the Institute of Mechanics of the National Academy of Sciences of Ukraine, one of the founders of the National Academy of Sciences of Ukraine and academic teacher with world-wide reputation with great influence on engineering education.
Download or read book Fracture of Materials Under Compression Along Cracks written by Aleksander N. Guz and published by Springer Nature. This book was released on 2020-07-25 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the problems of fracture mechanics of materials with cracks under the loading directed along the cracks. It considers two non-classical fracture mechanisms, namely the fracture of bodies compressed along cracks and the fracture of materials with initial (residual) stresses acting in parallel to the surfaces of cracks location, and presents new approaches (also including combined one) developed in the framework of three-dimensional linearized mechanics of deformable bodies. It then discusses the results of studies on two- and three-dimensional problems for various configurations of crack locations in isotropic and anisotropic materials, and based on these results, critically evaluates the accuracy and applicability limits of the “beam approximation” approach, which is widely used to study various problems of the fracture of bodies under compression along parallel cracks.
Download or read book Mechanics of Mixtures written by Kumbakonam Ramamani Rajagopal and published by World Scientific. This book was released on 1995 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified treatment of the mechanics of mixtures of several constituents within the context of continuum mechanics. After an introduction to the basic theory in the first few chapters, the book deals with a detailed exposition of the mechanics of a mixture of a fluid and an elastic solid, which is either isotropic or anisotropic and is capable of undergoing large deformations. Issues regarding the specification of boundary conditions for mixtures are discussed in detail and several boundary value and initial-boundary value problems are solved. The status of some special theories like those of Darcy and Biot are discussed. Such a study has relevance to several technologically significant problems in geomechanics, biomechanics, diffusion of contaminants and the swelling and absorption of fluids in polymers and polymer composites, to mention a few.
Download or read book Harmonic Maps Into Homogeneous Spaces written by Malcolm Black and published by Routledge. This book was released on 2018-05-04 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic maps and the related theory of minimal surfaces are variational problems of long standing in differential geometry. Many important advances have been made in understanding harmonic maps of Riemann surfaces into symmetric spaces. In particular, ""twistor methods"" construct some, and in certain cases all, such mappings from holomorphic data. These notes develop techniques applicable to more general homogeneous manifolds, in particular a very general twistor result is proved. When applied to flag manifolds, this wider viewpoint allows many of the previously unrelated twistor results for symmetric spaces to be brought into a unified framework. These methods also enable a classification of harmonic maps into full flag manifolds to be established, and new examples are constructed. The techniques used are mostly a blend of the theory of compact Lie groups and complex differential geometry. This book should be of interest to mathematicians with experience in differential geometry and to theoretical physicists.
Download or read book Extending Modules written by Nguyen Viet Dung and published by Routledge. This book was released on 2019-01-22 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is particularly important. Extending modules form a natural class of modules which is more general than the class of injective modules but retains many of its
Download or read book Integral Expansions Related to Mehler Fock Type Transforms written by B N Mandal and published by CRC Press. This book was released on 2020-11-26 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.
Download or read book Thermoelastic Deformations written by D. Iesan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of thermoelasticity studies the interaction between thermal and mechan ical fields in elastic bodies. This theory is of interest both for the mathematical and technical point of view. Intense interest has been shown recently in this field owing to the great practical importance of dynamical effects in aeronautics, nu clear reactors, and its potential importance in cryogenic applications. This work is concerned mainly with basic problems of the theory of thermoelasticity. Ther moelasticity of polar materials and the theories of thermoelasticity with finite wave speeds are not considered here. The reader interested in these subjects will find a full account in the works of Nowacki [280], Chandrasekharaiah [60] and Ignaczak [195]. Our purpose in this work is to present a systematic treatment of some results established in the theory of thermoelasticity. On the whole, the subject matter is directed towards recent developments. Chapter 1 is concerned mainly with the development of the fundamental equa tions of the theory of thermoelasticity. The kinematics and primitive concepts associated with the basic principles are developed and emphasized only to the ex tent that they are needed in our treatment of the subject. Chapter 2 is devoted to a study of linear thermoelastic deformations for prestressed bodies. We have at tempted to isolate those conceptual and mathematical difficulties which arise over and above those inherent in the problems concerned with unstressed bodies.
Download or read book Multigrid Methods written by James H Bramble and published by Routledge. This book was released on 2019-01-22 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.
Download or read book Extending Span Ranges of Precast Prestressed Concrete Girders written by Reid Wilson Castrodale and published by Transportation Research Board. This book was released on 2004 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: At head of title: National Cooperative Highway Research Program.
Download or read book Bulletin English Ed New Series written by International Railway Congress Association and published by . This book was released on 1961 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt:
