The third edition of “Creep Mechanics” provides a short survey of recent advances in the mathematical modelling of the mechanical behavior of anisotropic solids under creep conditions, including principles, methods, and applications of tensor functions. Some examples for practical use are discussed, as well as experiments by the author to test the validity of the modelling. The monograph offers an overview of other experimental investigations in creep mechanics. Rules for specifying irreducible sets of tensor invariants, scalar coefficients in constitutive and evolutional equations, and tensorial interpolation methods are also explained. The included CD-ROM has been improved and contains examples and algorithms in more detail and appendant figures in color. The text has been re-examined and improved throughout.
Author(s): Josef Betten
Edition: 3rd ed.
Year: 2008
Language: English
Pages: 384
Tags: Механика;Механика деформируемого твердого тела;Теория ползучести;
3540850503......Page 1
Creep Mechanics,
Third Edition......Page 3
Preface to the Third Edition......Page 5
Preface to the Second Edition......Page 6
Preface to the First Edition......Page 7
Contents......Page 11
1 Introduction......Page 15
2 Tensor Notation......Page 23
3 Some Basic Equations of Continuum Mechanics......Page 45
4 Creep Behavior of Isotropic and Anisotropic
Materials; Constitutive Equations......Page 63
5 Creep Behavior of Thick-Walled Tubes......Page 98
6 The Creep Potential Hypothesis in Comparison
with the Tensor Function Theory......Page 122
7 Damage Mechanics......Page 152
8 Tensorial Generalization of Uniaxial Creep Laws to
Multiaxial States of Stress......Page 172
9 Viscous Fluids......Page 184
10 Memory Fluids......Page 201
11 Viscoelastic Materials......Page 207
12 Viscoplastic Materials......Page 257
13 Creep and Damage Experiments......Page 265
14 Creep Curve......Page 291
A The HEAVISIDE and DIRAC Functions......Page 297
B The LAPLACE Transformation......Page 307
References......Page 356
Index......Page 372
