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Creep Mechanics

  • Book
  • © 2008

Overview

Authors:
  1. Josef Betten

    1. Mathematical Models in Materials Science and Continuum Mechanics, RWTH-Aachen University, Germany

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  • Monograph on an important topic of solid and materials mechanics
  • Treats the mathematical theory as well as experiments
  • Professor Betten is an internationally recognized expert in this field
  • He is author of several topical review articles
  • Includes supplementary material: sn.pub/extras

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XVI
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  2. Introduction

    • Josef Betten
    Pages 1-8

  3. Tensor Notation

    • Josef Betten
    Pages 9-30

  4. Some Basic Equations of Continuum Mechanics

    • Josef Betten
    Pages 31-48

  5. Creep Behavior of Isotropic and Anisotropic Materials; Constitutive Equations

    • Josef Betten
    Pages 49-83

  6. Creep Behavior of Thick-Walled Tubes

    • Josef Betten
    Pages 85-108

  7. The Creep Potential Hypothesis in Comparison with the Tensor Function Theory

    • Josef Betten
    Pages 109-138

  8. Damage Mechanics

    • Josef Betten
    Pages 139-158

  9. Tensorial Generalization of Uniaxial Creep Laws to Multiaxial States of Stress

    • Josef Betten
    Pages 159-170

  10. Viscous Fluids

    • Josef Betten
    Pages 171-187

  11. Memory Fluids

    • Josef Betten
    Pages 189-194

  12. Viscoelastic Materials

    • Josef Betten
    Pages 195-244

  13. Viscoplastic Materials

    • Josef Betten
    Pages 245-252

  14. Creep and Damage Experiments

    • Josef Betten
    Pages 253-278

  15. Creep Curve

    • Josef Betten
    Pages 279-284

  16. Back Matter

    Pages 285-367
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Keywords

About this book

The simplest way to formulate the basic equations of continuum mech- ics and the constitutive or evolutional equations of various materials is to restrict ourselves to rectangular cartesian coordinates. However, solving p- ticular problems, for instance in Chapter 5, it may be preferable to work in terms of more suitable coordinate systems and their associated bases. The- fore, Chapter 2 is also concerned with the standard techniques of tensor an- ysis in general coordinate systems. Creep mechanics is a part of continuum mechanics, like elasticity or pl- ticity. Therefore, some basic equations of continuum mechanics are put - gether in Chapter 3. These equations can apply equally to all materials and they are insuf?cient to describe the mechanical behavior of any particular material. Thus, we need additional equations characterizing the individual material and its reaction under creep condition according to Chapter 4, which is subdivided into three parts: the primary, the secondary, and the tertiary creep behavior of isotropic and anisotropic materials. The creep behavior of a thick-walled tube subjected to internal pressure is discussed in Chapter 5. The tube is partly plastic and partly elastic at time zero. The investigation is based upon the usual assumptions of incompre- ibility and zero axial creep. The creep deformations are considered to be of such magnitude that the use of ?nite-strain theory is necessary. The inner and outer radius, the stress distributions as functions of time, and the cre- failure time are calculated.

Authors and Affiliations

  • Mathematical Models in Materials Science and Continuum Mechanics, RWTH-Aachen University, Germany

    Josef Betten

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