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2012 | OriginalPaper | Buchkapitel

2. Mechanical Representation of Damage and Damage Variables

verfasst von : Sumio Murakami

Erschienen in: Continuum Damage Mechanics

Verlag: Springer Netherlands

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Abstract

The procedure of the continuum damage mechanics is to represent first the damage state of a material in terms of properly defined damage variables, and then to describe the mechanical behavior of the damaged material and the further development of the damage by the use of these damage variables. In Section 2.1, methods of the mechanical modeling of material damage are described in the case of uniaxial state of stress. Then Section 2.2 is concerned with extensive discussion of the three-dimensional modeling of material damage and the resulting damage variables, because this is one of the most important problems to secure the reliability of the continuum damage mechanics. The mechanical behavior of a damaged material is usually described by using the notion of the effective stress, together with the hypothesis of mechanical equivalence between the damaged and the undamaged material.

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Vorheriges Kapitel Material Damage and Continuum Damage Mechanics

Nächstes Kapitel Thermodynamics of Damaged Material

This area is usually interpreted as a net load-carrying area including the effect of microstress-concentration and/or that of the effect of mutual interaction of microcavities, rather than the rigorous geometrical area resulting from the microcavity distribution (Lemaitre 1992).

In order to distinguish from the effective stresses to be defined later by Eq. (2.9) and others, \(\tilde \sigma\) of Eq. (2.7) is sometimes called also by the name of net stress. However, the reduced stresses introduced to describe the mechanical equivalence between the damaged and the undamaged states will be called “effective stress” throughout this book except the cases of special confusion.

As regards the constitutive theory based on the irreversible thermodynamics with internal variables, see the succeeding Chapter 3.

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Titel: Mechanical Representation of Damage and Damage Variables
verfasst von: Sumio Murakami
Verlag: Springer Netherlands
Buch: Continuum Damage Mechanics
Print ISBN: 978-94-007-2665-9

Electronic ISBN: 978-94-007-2666-6

Copyright-Jahr: 2012
DOI: https://doi.org/10.1007/978-94-007-2666-6_2

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