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.
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
15
15 s/w Abbildungen
XII, 327 p. 15 illus.
Dateigröße
ISBN-13
978-3-662-04971-6 (9783662049716)
DOI
10.1007/978-3-662-04971-6
Schweitzer Klassifikation
1 Introduction.- 2 Tensor Notation.- 3 Some Basic Equations of Continuum Mechanics.- 4 Creep Behavior of Isotropic and Anisotropic Materials; Constitutive Equations.- 5 Creep Behavior of Thick-Walled Tubes.- 6 The Creep Potential Hypothesis in Comparison with the Tensor Function Theory.- 7 Damage Mechanics.- 8 Tensorial Generalization of Uniaxial Creep Laws to Multiaxial States of Stress.- 9 Viscous Fluids.- 10 Memory Fluids.- 11 Viscoelastic Materials.- 12 Viscoplastic Materials.- 13 Creep Experiments.- Appendices.- B.1 Linearity.- B.3 Similarity Rule.- B.4 Shift Rule.- B.5 Damping Rule.- B.9 Convolution Theorem.- B.12 Periodic Functions.- B.13 Application to Partial Differential Equations.- References.
