Constitutive Equations of Viscoelastic Solids Under Finite Deformation PDF Download
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Author: George Lianis
Publisher:
ISBN:
Category :
Languages : en
Pages : 57
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Book Description
The constitutive equations of reference 1 are discussed. Subsequently to establish a similarity between the short-time elastic response and the long-time equalibrium stress for materials with fading memory, certain approximations are proposed. A number of boundary-value problems under prescribed static finite strain and small dynamic strains superposed on prestressed solids are solved. Existing experimental data compared with these solutions appear to favor the proposed approximations. (Author).
Author: George Lianis
Publisher:
ISBN:
Category :
Languages : en
Pages : 57
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Book Description
The constitutive equations of reference 1 are discussed. Subsequently to establish a similarity between the short-time elastic response and the long-time equalibrium stress for materials with fading memory, certain approximations are proposed. A number of boundary-value problems under prescribed static finite strain and small dynamic strains superposed on prestressed solids are solved. Existing experimental data compared with these solutions appear to favor the proposed approximations. (Author).
Author: José Merodio
Publisher: Springer Nature
ISBN: 3030315479
Category : Science
Languages : en
Pages : 397
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Book Description
This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.
Author: Aleksey D. Drozdov
Publisher: World Scientific
ISBN: 9789810224332
Category : Science
Languages : en
Pages : 464
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Book Description
This book provides a systematic and self-consistent introduction to the nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory. The objective is to expose the most intriguing aspects of elasticity and viscoelasticity with finite strains in such a way as to ensure mathematical correctness, on the one hand, and to demonstrate a wide spectrum of physical phenomena typical only of nonlinear mechanics, on the other.A novel aspect of the book is that it contains a number of examples illustrating surprising behaviour in materials with finite strains, as well as comparisons between theoretical predictions and experimental data for rubber-like polymers and elastomers.The book aims to fill a gap between mathematicians specializing in nonlinear continuum mechanics, and physicists and engineers who apply the methods of solid mechanics to a wide range of problems in civil and mechanical engineering, materials science, and polymer physics. The book has been developed from a graduate course in applied mathematics which the author has given for a number of years.
Author: George Lianis
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Roderic S. Lakes
Publisher: CRC Press
ISBN: 1351355643
Category : Technology & Engineering
Languages : en
Pages : 476
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Book Description
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.
Author: Roderic S. Lakes
Publisher: Cambridge University Press
ISBN: 052188568X
Category : Science
Languages : en
Pages : 481
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Book Description
This graduate text on viscoelastic materials addresses design applications as diverse as earplugs, computer disks and medical diagnostics.
Author: A.D. Drozdov
Publisher: Elsevier
ISBN: 1483290522
Category : Mathematics
Languages : en
Pages : 623
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Book Description
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.
Author: Jason Aaron Graves
Publisher:
ISBN:
Category :
Languages : en
Pages : 410
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Book Description
Author: Aleksey D. Drozdov
Publisher: Academic Press
ISBN: 008054360X
Category : Science
Languages : en
Pages : 615
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Book Description
Viscoelastic Structures covers the four basic problems in the mechanics of viscoelastic solids and structural members: construction of constitutive models for the description of thermoviscoelastic behavior of polymers; mathematical modeling of manufacturing advanced composite materials; optimal-design of structural members and technological processes of their fabrication; and stability analysis for thin-walled structural members driven by time-varying loads.This book familiarizes the reader with state-of-the-art mathematical models for advanced materials and processes, and demonstrates their applications in modeling and simulating specific manufacturing processes. Viscoelastic Structures also demonstrates the effects of material, geometrical, and technological parameters on the characteristic features of viscoelastic structures.1Presents state-of-the-art mathematical models and methods which serve for the analysis of advanced technological processes1Includes numerous examples to demonstrate theory which have not been included in previous literature1Employs one consistent, user-friendly method to study a number of technological processes1Features unique approach to aging materials1Appendices cover background material on tensor calculus, kinematics with finite strains, stochastic differential equations, and evolutionary equations with operator coefficients
Author: Alagappan Ponnalagu
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
The aim of this work is to study the impact response of multilayered polymers using a thermodynamically consistent framework. Rather than integral type viscoelastic model, the approach here is based on the idea of two inter penetrating networks, one is permanent and other is transient together with the rate equations for the time evolution of the transient network. The primary hypothesis is that, it is possible to use a two network theory to capture the essential features of a impact response of multilayered polymers and solve the resulting boundary value problem using finite volume scheme. We first study the impact of layered polymer plate involving small deformation using a thermodynamic framework. The constitutive equations are nonlinear even though the strains are small. Six different protocols involving PU and PC, namely pure PC, pure PU, bilayer(PU/PC and PC/PU) and trilayer(PU/PC/PU and PC/PU/PC) were considered to evaluate the performance of the layering sequence based on the kinetic energy transferred on the wall. The interfaces are assumed to be fully bonded. The material parameters for the model was obtained from the experimental creep data from the literature. The layering of polymers improved the performance of plate depending upon the type of layering sequence. In the one and two dimensional study carried out, the performance was best when a compliant layer is placed between two stiff layers. Whereas, when a stiff layer was placed between two less compliant layer, the performance was worse than bilayer. Finally, a thermodynamically consistent finite deformation model was used to evaluate the impact performance of layered plate involving large deformation. A full scale three dimensional impact analysis was carried out with the thermal phenomena suppressed. Similar to the small deformation study, six different protocols were considered. The material parameters were obtained from the experimental data from the literature involving strain values above 50%. The overall performance was similar to what has been observed in the small strain model. The electronic version of this dissertation is accessible from http://hdl.handle.net/1969.1/155588.
