Viscoelastic structures : mechanics of growth and aging / Aleksey D. Drozdov.

Format:

Book

Author/Creator:

Drozdov, Aleksey D.

Language:

English

Subjects (All):

Viscoelastic materials--Mechanical properties.

Viscoelastic materials.

Polymers--Viscosity--Mathematical models.

Polymers.

Viscoelasticity--Mathematical models.

Viscoelasticity.

Physical Description:

1 online resource (615 p.)

Place of Publication:

San Diego, Calif. : Academic Press, c1998.

Language Note:

English

Summary:

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

Contents:

Front Cover; Viscoelastic Structures: Mechanics of Growth and Aging; Copyright Page; Contents; Chapter 1. Kinematics of Continua; 1.1 Basic Definitions and Formulas; Bibliography; Chapter 2. Constitutive Models in Linear Viscoelasticity; 2.1 Differential Constitutive Models; 2.2 Integral Constitutive Models; 2.3 Creep and Relaxation Kernels; 2.4 Thermodynamic Potentials and Variational Principles in Linear Viscoelasticity; 2.5 A Model of Adaptive Links for Aging Viscoelastic Media; Bibliography; Chapter 3. Nonlinear Constitutive Models with Small Strains; 3.1 Nonlinear Differential Models

3.2 Nonlinear Integral Models3.3 A Model for Crosslinked Polymers; 3.4 A Model for Non-Crosslinked Polymers; Bibliography; Chapter 4. Nonlinear Constitutive Models with Finite Strains; 4.1 Differential Constitutive Models; 4.2 Fractional Differential Models; 4.3 Integral Constitutive Models; 4.4 A Model of Adaptive Links; 4.5 A Constitutive Model in Finite Viscoelasticity; Bibliography; Chapter 5. Constitutive Relations for Thermoviscoelastic Media; 5.1 Constitutive Models in Thermoviscoelasticity; 5.2 A Model of Adaptive Links in Thermoviscoelasticity

5.3 Constitutive Models for the Nonisothermal BehaviorBibliography; Chapter 6. Accretion of Aging Viscoelastic Media with Finite Strains; 6.1 Continuous Accretion of Aging Viscoelastic Media; 6.2 Winding of a Cylindrical Pressure Vessel; 6.3 Winding of a Composite Cylinder with Account for Resin Flow; 6.4 Volumetric Growth of a Viscoelastic Tissue; Bibliography; Chapter 7. Accretion of Viscoelastic Media with Small Strains; 7.1 Accretion of a Viscoelastic Conic Pipe; 7.2 Accretion of a Viscoelastic Spherical Dome; 7.3 Debonding of Accreted Viscoelastic Beams

7.4 Torsion of an Accreted Elastoplastic CylinderBibliography; Chapter 8. Optimization Problems for Growing Viscoelastic Media; 8.1 An Optimal Rate of Accretion for Viscoelastic Solids; 8.2 Optimal Accretion of an Elastic Column; 8.3 Preload Optimization for a Wound Cylindrical Pressure Vessel; 8.4 Optimal Design of Growing Beams; 8.5 Optimal Solidification of a Spherical Pressure Vessel; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-281-03278-6

9786611032784

0-08-054360-X

OCLC:

476109328