Creep Mechanics

ISBN-13: 9783642436116 / Angielski / Miękka / 2014 / 367 str.

Josef Betten

Opis

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.

Spis treści

Tensor Notation.- Some Basic Equations of Continuum Mechanics.- Creep Behavior of Isotropic and Anisotropic Materials; Constitutive Equations.- Creep Behavior of Thick-Walled Tubes.- The Creep Potential Hypothesis in Comparison with the Tensor Function Theory.- Damage Mechanics.- Tensorial Generalization of Uniaxial Creep Laws to Multiaxial States of Stress.- Viscous Fluids.- Memory Fluids.- Viscoelastic Materials.- Viscoplastic Materials.- Creep and Damage Experiments.- Creep Curve.

O autorze

Josef Betten, 1958 bis 1964 Studium des Maschinenbaus an der Technischen Hochschule Aachen und anschließend Industrietätigkeit bei der Rheinischen Walzmaschinenfabrik. 1968 bis 1970 wissenschaftlicher Mitarbeiter und Assistent an der RWTH Aachen. 1968 Promotion und Verleihung der BOCHERS-Plakette. 1970 Lehrauftrag in "Mathematische Modelle in der Werkstoffkunde". 1971 Habilitation und anschließende Lehrtätigkeit an der Fakultät für Maschinenwesen der RWTH Aachen. 1980 Professor für Mechanik an der TU Graz. Seit 1981 Professor an der RWTH Aachen.
Arbeitsgebiete: Tensorrechnung, Kontinuumsmechanik (Elasto-, Plasto- und Kriechmechanik), Viskoelastizitäts- und Viskoplastizitätstheorie, Rheologie, Materialtheorie, Numerische Mechanik und Mathematik.
Autor mehrerer Bücher und mehr als 180 Veröffentlichungen in internationalen Fachzeitschriften.

Blurb

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 text has been re-examined and improved throughout.