Creep Mechanics
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Beschreibung
In this book constitutive equations for the secondary and tertiary creep stage of anisotropic materials are formulated. To investigate the secondary creep behaviour the existence of a creep potential is presumed. It is established, that regarding to the theory of representation for tensor functions the creep potential hypothesis furnishes only restricted forms of constitutive equations even if a general creep potential is assumed in the anisotropic case. The creep process in its tertiary phase is characterized by a damage tensor. Some possible representations of constitutive equations involving (initial) anisotropy of the material (e.g. from rolling) and anisotropic creep-damage are discussed. The formulation of such equations is based upon theorems regarding tensor-valued tensor functions.
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.
Monograph on an important topic of solid and materials mechanics The book 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
Autor*in
Josef Betten
Themen in »Creep Mechanics«
behavior continuum mechanics damage mechanics evolution glass material materials mechanics memory metal modeling partial differential equation plasticity polymers stress