Viscoelasticity
No mathematical theory can completely describe the complex world around us. Every theory is aimed at a certain class of phenomena, formulates their essential features, and disregards what is of minor importance. The theory meets its limits of applicability where a dis­ regarded influence becomes important. Thus, rigid-body dynamics describes in many cases the motion of actual bodies with high accu­ racy, but it fails to produce more than a few general statements in the case of impact, because elastic or anelastic deformation, no matter how local or how small, attains a dominating influence. For a long time mechanics of deformable bodies has been based upon Hooke's law - that is, upon thE" assumption of linear elasticity. It was well known that most engineering materials like metals, con­ crde, wood, soil, are not linearly elastic or, are so within limits too narrow to cover tne range of pl'actical intcrest. Nevertheless, almost all routine stress analysis is still based on Hooke T s law because of its simplicity. In the course of time engineers have become increasingly conscious of the importance of the anelastic behavior of many materials, and mathematical formulations have been attempted and applied to practical problems. Outstanding among them are the theories of ide­ ally plastic and of viscoelastic materials. While plastic behavior is essentially nonlinear (piecewise linear at best), viscoelasticity, like elasticity, permits a linear theory. This theory of linear visco­ elasticity is the subject of tbe present book.
1132201600
Viscoelasticity
No mathematical theory can completely describe the complex world around us. Every theory is aimed at a certain class of phenomena, formulates their essential features, and disregards what is of minor importance. The theory meets its limits of applicability where a dis­ regarded influence becomes important. Thus, rigid-body dynamics describes in many cases the motion of actual bodies with high accu­ racy, but it fails to produce more than a few general statements in the case of impact, because elastic or anelastic deformation, no matter how local or how small, attains a dominating influence. For a long time mechanics of deformable bodies has been based upon Hooke's law - that is, upon thE" assumption of linear elasticity. It was well known that most engineering materials like metals, con­ crde, wood, soil, are not linearly elastic or, are so within limits too narrow to cover tne range of pl'actical intcrest. Nevertheless, almost all routine stress analysis is still based on Hooke T s law because of its simplicity. In the course of time engineers have become increasingly conscious of the importance of the anelastic behavior of many materials, and mathematical formulations have been attempted and applied to practical problems. Outstanding among them are the theories of ide­ ally plastic and of viscoelastic materials. While plastic behavior is essentially nonlinear (piecewise linear at best), viscoelasticity, like elasticity, permits a linear theory. This theory of linear visco­ elasticity is the subject of tbe present book.
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Viscoelasticity

Viscoelasticity

by Wilhelm Flügge
Viscoelasticity

Viscoelasticity

by Wilhelm Flügge

Paperback(Second Edition 1975)

$54.99 
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Overview

No mathematical theory can completely describe the complex world around us. Every theory is aimed at a certain class of phenomena, formulates their essential features, and disregards what is of minor importance. The theory meets its limits of applicability where a dis­ regarded influence becomes important. Thus, rigid-body dynamics describes in many cases the motion of actual bodies with high accu­ racy, but it fails to produce more than a few general statements in the case of impact, because elastic or anelastic deformation, no matter how local or how small, attains a dominating influence. For a long time mechanics of deformable bodies has been based upon Hooke's law - that is, upon thE" assumption of linear elasticity. It was well known that most engineering materials like metals, con­ crde, wood, soil, are not linearly elastic or, are so within limits too narrow to cover tne range of pl'actical intcrest. Nevertheless, almost all routine stress analysis is still based on Hooke T s law because of its simplicity. In the course of time engineers have become increasingly conscious of the importance of the anelastic behavior of many materials, and mathematical formulations have been attempted and applied to practical problems. Outstanding among them are the theories of ide­ ally plastic and of viscoelastic materials. While plastic behavior is essentially nonlinear (piecewise linear at best), viscoelasticity, like elasticity, permits a linear theory. This theory of linear visco­ elasticity is the subject of tbe present book.

Product Details

ISBN-13: 9783662022788
Publisher: Springer Berlin Heidelberg
Publication date: 12/16/2012
Edition description: Second Edition 1975
Pages: 194
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1. Viscoelastic Models.- 2. Hereditary Integrals.- 3. Viscoelastic Beams.- 4. Beam on Continuous Support.- 5. Vibrations.- 6. Wave Propagation.- 7. Buckling of Columns.- 8. Viscoelasticity in Three Dimensions.
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