Creep and Relaxation of Nonlinear Viscoelastic Materials: With an Introduction to Linear Viscoelasticity

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Courier Corporation, Jan 1, 1989 - Technology & Engineering - 371 pages
This pioneering book presents the basic theory, experimental methods, experimental results and solution of boundary value problems in a readable, useful way to designers as well as research workers and students. The mathematical background required has been kept to a minimum and supplemented by explanations where it has been necessary to introduce specialized mathematics. Also, appendices have been included to provide sufficient background in Laplace transforms and in step functions.
Chapters 1 and 2 contain an introduction and historic review of creep. As an aid to the reader a background on stress, strain, and stress analysis is provided in Chapters 3 and 4, an introduction to linear viscoelasticity is found in Chapter 5 and linear viscoelastic stress analysis in Chapter 6. In the next six chapters the multiple integral representation of nonlinear creep and relaxation, and simplifications to single integral forms and incompressibility, are examined at length. After a consideration of other representations, general relations are derived, then expanded to components of stress or strain for special cases. Both constant stress (or strain) and variable states are described, together with methods of determining material constants. Conversion from creep to relaxation, effects of temperature and stress analysis problems in nonlinear materials are also treated here.
Finally, Chapter 13 discusses experimental methods for creep and stress relaxation under combined stress. This chapter considers especially those experimental problems which must be solved properly when reliable experimental results of high precision are required. Six appendices present the necessary mathematical background, conversion tables, and more rigorous derivations than employed in the text. An extensive updated bibliography completes the book.
 

Contents

INTRODUCTION
1
HISTORICAL SURVEY OF CREEP
8
STATE OF STRESS AND STRAIN
22
MECHANICS OF STRESS AND DEFORMATION ANALYSES
40
LINEAR VISCOELASTIC CONSTITUTIVE EQUATIONS
50
LINEAR VISCOELASTIC STRESS ANALYSIS
106
MULTIPLE INTEGRAL REPRESENTATION
129
NONLINEAR CREEP AT CONSTANT STRESS AND RELAXATION AT CONSTANT STRAIN
174
NONLINEAR CREEP OR RELAXATION UNDER VARIABLE STRESS OR STRAIN
218
CONVERSION AND MIXING OF NONLINEAR CREEP AND RELAXATION
237
EFFECT OF TEMPERATURE ON NONLINEAR V1SCOELASTIC MATERIALS
247
NONLINEAR VISCOELASTIC STRESS ANALYSIS
266
EXPERIMENTAL METHODS
287
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Page 355 - Experimental determination of some kernel functions in the multiple integral method for nonlinear creep of polyvinyl chloride.
Page 361 - Creep and Creep Recovery of 304 Stainless Steel Under Combined Stress with a Representation by a ViscousViscoelastic Model.

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