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Fundamentals Of The Three Dimensional Theory Of Stability Of Deformable Bodies
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Book Synopsis Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies by : A.N. Guz
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.
Book Synopsis Dynamics of Pre-Strained Bi-Material Elastic Systems by : Surkay D. Akbarov
Download or read book Dynamics of Pre-Strained Bi-Material Elastic Systems written by Surkay D. Akbarov and published by Springer. This book was released on 2015-02-11 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with dynamics of pre-stressed or pre-strained bi-material elastic systems consisting of stack of pre-stressed layers, stack of pre-stressed layers and pre-stressed half space (or half plane), stack of pre-stressed layers as well as absolute rigid foundation, pre-stressed compound solid and hollow cylinders and pre-stressed sandwich hollow cylinders. The problems considered in the book relate to the dynamics of a moving and oscillating moving load, forced vibration caused by linearly located or point located time-harmonic forces acting to the foregoing systems. Moreover, a considerable part of the book relate to the problems regarding the near surface, torsional and axisymmetric longitudinal waves propagation and dispersion in the noted above bi-material elastic systems. The book carries out the investigations within the framework of the piecewise homogeneous body model with the use of the Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies.
Book Synopsis Eight Non-Classical Problems of Fracture Mechanics by : Aleksander N. Guz
Download or read book Eight Non-Classical Problems of Fracture Mechanics written by Aleksander N. Guz and published by Springer Nature. This book was released on 2021-08-08 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an analysis of eight non-classical problems of fracture and failure mechanics mainly obtained by research in the department of dynamics and stability of continuum of the S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine (NAS of Ukraine). It focusses on the application of the 3D (three-dimensional) theories of stability, dynamics, and statics of solid mechanics to the investigation of non-classical problems of fracture and failure mechanics.
Book Synopsis Fracture of Materials Under Compression Along Cracks by : Aleksander N. Guz
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.
Book Synopsis Stability Loss and Buckling Delamination by : Surkay Akbarov
Download or read book Stability Loss and Buckling Delamination written by Surkay Akbarov and published by Springer Science & Business Media. This book was released on 2012-08-14 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates stability loss problems of the viscoelastic composite materials and structural members within the framework of the Three-Dimensional Linearized Theory of Stability (TDLTS). The stability loss problems are considered the development of the initial infinitesimal imperfection in the structure of the material or of the structural members. This development is studied within the framework of the Three-Dimensional Geometrical Non-Linear Theory of the Deformable Solid Body Mechanics. The solution to the corresponding boundary-value problems is presented in the series form in the small parameter which characterizes the degree of the initial imperfection. In this way, the nonlinear problems for the domains bounded by noncanonical surfaces are reduced for the same nonlinear problem for the corresponding domains bounded by canonical surfaces and the series subsequent linearized problems. It is proven that the equations and relations of these linearized problems coincide with the corresponding ones of the well-known TDLTS. Under concrete investigations as stability loss criterion the case is taken for the initial infinitesimal imperfection that starts to increase indefinitely. Moreover, it is proven that the critical parameters can be determined by the use of only the zeroth and first approximations.
Book Synopsis Non-axisymmetric Local Stability Loss of a Hollow Cylinder by : Surkay D. Akbarov
Download or read book Non-axisymmetric Local Stability Loss of a Hollow Cylinder written by Surkay D. Akbarov and published by Springer Nature. This book was released on 2023-12-03 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents formulations and examples of three-dimensional non-axisymmetric stability in viscoelastic anisotropic cylindrical shells. The most critical stability loss modes are determined by minimizing the critical loads and critical times with respect to the number of half-waves in radial as well as transverse directions. Currently, there is no literature available on three-dimensional local buckling analysis (or localized warpage) that considers non-axisymmetric stability loss in viscoelastic cylindrical shells. The contents of this book provide the formulation for such a stability loss analysis through the framework of the three-dimensional linearized theory of stability. Additionally, as this book addresses the problem by modeling the material as a viscoelastic fibrous composite, it can be applied to carry out buckling analysis in both elastic and viscoelastic cases. Guide to modelling composite viscoelastic shell elements for buckling analysis Provides a framework for defining the failure criterion for viscoelastic materials Course material for teaching shell buckling and viscoelastic composites
Book Synopsis Advances in Linear and Nonlinear Continuum and Structural Mechanics by : Holm Altenbach
Download or read book Advances in Linear and Nonlinear Continuum and Structural Mechanics written by Holm Altenbach and published by Springer Nature. This book was released on 2023-12-03 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a current image of modern mechanics. The book reflects current state of the art in the field of continuum mechanics and mechanics of structures including recent achievements in classic and non-classic approaches. The chapters are written by leading specialist in the field, so the book collects cutting edge investigations in the field. As a target we consider the society starting from beginners, i.e. master and PhD students, and also leaders in the field, that is professors of universities and civil, mechanical and aerospace engineers.
Book Synopsis Fracture and Damage of Composites by : M. H. Aliabadi
Download or read book Fracture and Damage of Composites written by M. H. Aliabadi and published by WIT Press. This book was released on 2006 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering various aspects of dynamic fractures this book contains state-of-the-art contributions from leading scientists in the field of crack dynamics.
Book Synopsis Structural Integrity and Durability of Advanced Composites by : Peter Beaumont
Download or read book Structural Integrity and Durability of Advanced Composites written by Peter Beaumont and published by Woodhead Publishing. This book was released on 2015-05-19 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structural Integrity and Durability of Advanced Composites: Innovative Modelling Methods and Intelligent Design presents scientific and technological research from leading composite materials scientists and engineers that showcase the fundamental issues and practical problems that affect the development and exploitation of large composite structures. As predicting precisely where cracks may develop in materials under stress is an age old mystery in the design and building of large-scale engineering structures, the burden of testing to provide "fracture safe design" is imperative. Readers will learn to transfer key ideas from research and development to both the design engineer and end-user of composite materials. This comprehensive text provides the information users need to understand deformation and fracture phenomena resulting from impact, fatigue, creep, and stress corrosion cracking and how these phenomena can affect reliability, life expectancy, and the durability of structures. Presents scientific and technological research from leading composite materials scientists and engineers that showcase fundamental issues and practical problems Provides the information users need to understand deformation and fracture phenomena resulting from impact, fatigue, creep, and stress corrosion cracking Enables readers to transfer key ideas from research and development to both the design engineer and end-user of composite materials
Book Synopsis Selected Problems of Solid Mechanics and Solving Methods by : Holm Altenbach
Download or read book Selected Problems of Solid Mechanics and Solving Methods written by Holm Altenbach and published by Springer Nature. This book was released on with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mechanics of Curved Composites by : S.D. Akbarov
Download or read book Mechanics of Curved Composites written by S.D. Akbarov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the frrst to focus on mechanical aspects of fibrous and layered composite material with curved structure. By mechanical aspects we mean statics, vibration, stability loss, elastic and fracture problems. By curved structures we mean that the reinforcing layers or fibres are not straight: they have some initial curvature, bending or distortion. This curvature may occur as a result of design, or as a consequence of some technological process. During the last two decades, we and our students have investigated problems relating to curved composites intensively. These investigations have allowed us to study stresses and strains in regions of a composite which are small compared to the curvature wavelength. These new, accurate, techniques were developed in the framework of continuum theories for piecewise homogeneous bodies. We use the exact equations of elasticity or viscoelasticity for anisotropic bodies, and consider linear and non-linear problems in the framework of this continuum theory as well as in the framework of the piecewise homogeneous model. For the latter the method of solution of related problems is proposed. We have focussed our attention on self-balanced stresses which arise from the curvature, but have provided sufficient information for the study of other effects. We assume that the reader is familiar with the theory of elasticity for anisotropic bodies, with partial differential equations and integral transformations, and also with the Finite Element Method.
Book Synopsis Mechanics of Elastic Composites by : Nicolaie Dan Cristescu
Download or read book Mechanics of Elastic Composites written by Nicolaie Dan Cristescu and published by CRC Press. This book was released on 2003-09-15 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive, reader-friendly treatment of the theory behind modern elastic composite materials. The treatment includes recently developed results and methods drawn from research papers published in Eastern Europe that until now were unavailable in many western countries. Among the book's many notable features is the inclusion of more th
Book Synopsis Handbook Of Mechanical Stability In Engineering (In 3 Volumes) by : Slivker Vladimir I
Download or read book Handbook Of Mechanical Stability In Engineering (In 3 Volumes) written by Slivker Vladimir I and published by World Scientific. This book was released on 2013-03-25 with total page 1656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Mechanical Stability in Engineering (In 3 Volumes) is a systematic presentation of mathematical statements and methods of solution for problems of structural stability. It also presents a connection between the solutions of the problems and the actual design practice.This comprehensive multi-volume set with applications in Applied Mechanics, Structural, Civil and Mechanical Engineering and Applied Mathematics is useful for research engineers and developers of CAD/CAE software who investigate the stability of equilibrium of mechanical systems; practical engineers who use the software tools in their daily work and are interested in knowing more about the theoretical foundations of the strength analysis; and for advanced students and faculty of university departments where strength-related subjects of civil and mechanical engineering are taught.
Book Synopsis Stability of Elastic Structures by : N.A. Alfutov
Download or read book Stability of Elastic Structures written by N.A. Alfutov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject discussed in this book is the stability of thin-walled elastic systems under static loads. The presentation of these problems is based on modern approaches to elastic-stability theory. Special attention is paid to the formulation of elastic-stability criteria, to the statement of column, plate and shell stability problems, to the derivation of basic relationships, and to a discussion of the boundaries of the application of analytic relationships. The author has tried to avoid arcane, nonstandard problems and elaborate and unexpected solutions, which bring real pleasure to connoisseurs, but confuse students and cause bewilderment to some practical engineers. The author has an apprehension that problems which, though interesting, are limited in application can divert the reader's attention from the more prosaic but no less sophisticated general problems of stability theory.
Book Synopsis Mechanics of Non-Homogeneous and Anisotropic Foundations by : B. Grigori Muravskii
Download or read book Mechanics of Non-Homogeneous and Anisotropic Foundations written by B. Grigori Muravskii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although realistic soil and rock foundations reveal noticeable deviations in their properties from homogeneity and isotropy, the model of the homogeneous isotropie elastic half-space is widely used when studying static and dynamie interactions between a defonnable foundation and structures. This is explained by significant mathematieal difficulties inherent in problems conceming mechanies of anisotropie and heterogeneous elastic bodies. Solving the basic static and dynamie problems for heterogeneous and anisotropic half-spaces, such as different contact problems and problems of constructing Green's functions, has become possible in the last few decades due to the development of computer engineering techniques and numerical methods. This book contains the results of investigations in the area of statics and dynamies of heterogeneous and anisotropic foundations, carried out by the author in the last five years while working in the Faculty of Civil Engineering at Technion - Israel Institute of Technology. The book is directed at engineers and scientists in the areas of soil mechanics, soil-structures interaction, seismology and geophysics. Some characteristic features of the book are: i) Constructing (Chap.l) solutions in a general fonn for the heterogeneous (in the depth direction) transversely isotropic elastic half-space subjected to different loadings, hannonic in time. Characteristics of the given half-space have an influence on functions (of depth z and parameter k of Hankel's transfonns), which are detennined from a system of ordinary differential equations.
Book Synopsis Advanced Theory of Mechanisms and Machines by : M.Z. Kolovsky
Download or read book Advanced Theory of Mechanisms and Machines written by M.Z. Kolovsky and published by Springer Science & Business Media. This book was released on 2012-09-03 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to the theory of mechanisms and machines, based on a lecture course for mechanical engineering students at the St. Petersburg State Technical University. The material differs from traditional textbooks due to its more profound elaboration of the methods of structural, geometric, kinematic and dynamic analysis. These established and novel methods take into account the needs of modern machine design as well as the potential of computers.
Book Synopsis Transient Aerohydroelasticity of Spherical Bodies by : A.G. Gorshkov
Download or read book Transient Aerohydroelasticity of Spherical Bodies written by A.G. Gorshkov and published by Springer Science & Business Media. This book was released on 2001-09-11 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems of transient interaction of deformable bodies with surrounding media are of great practical and theoretical importance. When solving the problems of this kind, the main difficulty is in the necessity to integrate jointly the system of equations which describe motion of the body and the system of equations which describe motion of the medium under the boundary conditions predetermined at the unknown (movable) curvilinear interfaces. At that, the position of these interfaces should be determined as part of the solution process. That is why, the known exact solutions in this area of mechanics of continuum have been derived mainly for the cases of idealized rigid bodies. Different aspects of the problems of transient interaction of bodies and structures with continuum (derivation of the efficient mathematical mod els for the phenomenon, development of the theoretical and experimental methods to be used for study of the transient problems of mechanics, etc.) were considered in the books by S.U. Galiev, A.N. Guz, V.D. Kubenko, V.B. Poruchikov, L.L Slepyan, A.S. Volmir, and Yu.S. Yakovlev. The results presented by these authors make interest when solving a great variety of problems and show a necessity of joint usage of the results obtained in differ ent areas: aerohydrodynamics, theory of elasticity and plasticity, mechanics of soils, theory of shells and plates, applied and computational mathemat ics, etc.
