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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 demonstra

Polymers --- Viscoelastic materials --- Viscoelasticity --- Viscosity --- Mathematical models. --- Mechanical properties. --- Continuum mechanics --- Elasticity --- Relaxation phenomena --- Polymere --- Polymeride --- Polymers and polymerization --- Macromolecules --- Elastoviscus materials --- Viscoelastics --- Materials

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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 processes 1Includes numerous examples to demonstrate theory which have not been included in previous literature 1Employs one consistent, user-friendly method to study a number of technological processes 1Features unique approach to aging materials 1Appendices cover background material on tensor calculus, kinematics with finite strains, stochastic differential equations, and evolutionary equations with operator coefficients.

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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 theore

Viscoelasticity. --- Stability. --- Dynamics --- Mechanics --- Motion --- Vibration --- Benjamin-Feir instability --- Equilibrium --- Continuum mechanics --- Elasticity --- Viscosity --- Relaxation phenomena