Stability In Viscoelasticity
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Stability In Viscoelasticity
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Author : A.D. Drozdov
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Stability In Viscoelasticity written by A.D. Drozdov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Mathematics categories.
The subject of stability problems for viscoelastic solids and elements of structures, with which this book is concerned, has been the focus of attention in the past three decades. This has been due to the wide inculcation of viscoelastic materials, especially polymers and plastics, in industry. Up-to-date studies in viscoelasticity are published partially in purely mathematical journals, partially in merely applied ones, and as a consequence, they remain unknown to many interested specialists. Stability in Viscoelasticity fills the gap between engineers and mathematicians and converges theoretical and applied directions of investigations. All chapters contain extensive bibliographies of both purely mathematical and engineering works on stability problems. The bibliography includes a number of works in Russian which are practically inaccessible to the Western reader.
Stability In Viscoelasticity
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Author : Drozdov
language : en
Publisher:
Release Date : 1995-06
Stability In Viscoelasticity written by Drozdov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06 with categories.
This study covers basic mathematical models for the deformation of a viscoelastic material, the stability of viscoelastic bodies and thin-walled structures, and the stochastic stability of structural elements. It aims to bridge the gap between the theory of viscoelastic materials and applications.
Elements Of Stability Of Viscoelastic Fluids
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Author : J. Dunwoody
language : en
Publisher: Longman
Release Date : 1989
Elements Of Stability Of Viscoelastic Fluids written by J. Dunwoody and has been published by Longman this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Fluid dynamics categories.
Theory Of Viscoelasticity Plasticity Elastic Waves And Elastic Stability
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Author : Clifford Truesdell
language : en
Publisher: Springer
Release Date : 1984
Theory Of Viscoelasticity Plasticity Elastic Waves And Elastic Stability written by Clifford Truesdell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Science categories.
Asymptotic Stability Of Solutions Of Dynamical Equations Of Linear Viscoelasticity
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Author : Sarp Adali
language : en
Publisher:
Release Date : 1973
Asymptotic Stability Of Solutions Of Dynamical Equations Of Linear Viscoelasticity written by Sarp Adali and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Differential equations, Linear categories.
Stability Of Stochastic Elastic And Viscoelastic Systems
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Author : V. D. Potapov
language : en
Publisher: Wiley-Blackwell
Release Date : 1999-07-06
Stability Of Stochastic Elastic And Viscoelastic Systems written by V. D. Potapov and has been published by Wiley-Blackwell this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-06 with Mathematics categories.
Stability of Stochastic Elastic and Viscoelastic Systems V. D. Potapov Moscow State University of Railway Communication, Russia Numerous structures assembled by civil and mechanical engineers are driven by external forces randomly changing in time and space. These forces include, for example, seismic and wind loads, transport loads and acoustic pressures. The parameters of these forces cannot be precisely measured, but they may have critical effects on fundamental structural characteristics, and hence have significant design implications. Materials used in construction also have an effect on structural behaviour. This book proposes a new approach for the analysis of the stability of different stochastic systems using both analytic (including asymptotic) and numerical methods. For example, constitutive equations used for the description of viscoelastic materials, which can be employed to take account of internal friction in an elastic material are examined, offering new opportunities for analysing the behaviour of real structures. Problems addressed include: * stability of columns and rods subjected to longitudinal random stationary forces * stability of plates in a gas flow subjected to in-plane loads, which are assumed as random stationary processes * stability of cylindrical shells and panels under the action of longitudinal random stationary loads * behaviour of flexible rods, plates and cylindrical panels, subjected to random stationary force and loads, under finite deflections Furthermore, this text develops methods for estimating critical loads, resulting in an accessible and unified account of reliability theory and techniques as applied to engineering structures. All postgraduate students and practitioners of mechanical engineering (applied mechanics), civil engineering (structural mechanics), applied mathematics, and designers of mechanical and civil structures will find this not only a valuable, but an extremely useful book.
Mathematical Problems In Linear Viscoelasticity
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Author : Mauro Fabrizio
language : en
Publisher: SIAM
Release Date : 1992-01-01
Mathematical Problems In Linear Viscoelasticity written by Mauro Fabrizio and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Science categories.
Describes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses special techniques and new methods, including Fourier and Laplace transforms, extremum principles via weight functions, and singular surfaces and discontinuity waves.
Stability Loss And Buckling Delamination
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Author : Surkay Akbarov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-14
Stability Loss And Buckling Delamination written by Surkay Akbarov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-14 with Science categories.
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.
Viscoelastic Solids 1998
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Author : Roderic S. Lakes
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Viscoelastic Solids 1998 written by Roderic S. Lakes and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Technology & Engineering categories.
Viscoelastic Solids covers the mathematical theory of viscoelasticity and physical insights, causal mechanisms, and practical applications. The book: presents a development of the theory, addressing both transient and dynamic aspects as well as emphasizing linear viscoelasticity synthesizes the structure of the theory with the aim of developing physical insight illustrates the methods for the solution of stress analysis problems in viscoelastic objects explores experimental methods for the characterization of viscoelastic materials describes the phenomenology of viscoelasticity in a variety of materials, including polymers, metals, high damping alloys, rock, piezoelectric materials, cellular solids, dense composite materials, and biological materials analyzes high damping and extremely low damping provides the theory of viscoelastic composite materials, including examples of various types of structure and the relationships between structure and mechanical properties contains examples on the use of viscoelastic materials in preventing and alleviating human suffering Viscoelastic Solids also demonstrates the use of viscoelasticity for diverse applications, such as earplugs, gaskets, computer disks, satellite stability, medical diagnosis, injury prevention, vibration abatement, tire performance, sports, spacecraft explosions, and music.
On The Stability Of Elongational Flow Of Viscoelastic Liquids I
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Author : Hui Chang
language : en
Publisher:
Release Date : 1972
On The Stability Of Elongational Flow Of Viscoelastic Liquids I written by Hui Chang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Fluid dynamics categories.
The report involves the 'spinnability' of high polymers. A new, simple method of analyzing the stability of elongational flow of a cylindrical liquid filament is presented. At time t, the filament is assumed to be composed of two uniform cylinders, of unequal cross-sectional areas A(1)(t), A(2)(t), connected end to end. A constant, uniform tensile force F is suddenly applied at t = 0. Using the 'rubberlike liquid' constitutive equations, the area ratio A(1)(t)/A(2)(t) can be obtained from solutions of a non-linear Volterra integral equation. Numerical solutions are obtained by two independent methods: a step-by-step integration of the Volterra equation, and a Runge-Kutta solution of the non-linear second-order ordinary differential equation to which the Volterra equation can be reduced.