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 second edition includes a CD-ROM containing the examples and algorithms in more detail and the appendant figures in color. The text has been re-examined and improved throughout.
Author(s): Univ.-Professor Dr.-Ing. habil. Josef Betten (auth.)
Publisher: Springer Berlin Heidelberg
Year: 2005
Language: English
Pages: 2nd ed., XIII, 353 p. 85 illus. With CD-ROM.
Tags: Continuum Mechanics and Mechanics of Materials;Engineering Fluid Dynamics;Mechanics;Numerical and Computational Methods in Engineering;Fluids;Characterization and Evaluation of Materials
Introduction....Pages 1-8
Tensor Notation....Pages 9-30
Some Basic Equations of Continuum Mechanics....Pages 31-48
Creep Behavior of Isotropic and Anisotropic Materials; Constitutive Equations....Pages 49-75
Creep Behavior of Thick-Walled Tubes....Pages 77-100
The Creep Potential Hypothesis in Comparison with the Tensor Function Theory....Pages 101-130
Damage Mechanics....Pages 131-150
Tensorial Generalization of Uniaxial Creep Laws to Multiaxial States of Stress....Pages 151-162
Viscous Fluids....Pages 163-179
Memory Fluids....Pages 181-186
Viscoelastic Materials....Pages 187-236
Viscoplastic Materials....Pages 237-244
Creep and Damage Experiments....Pages 245-270
