NDLI: From the onset of damage to rupture: construction of responses with damage localization for a general class of gradient damage models

Content Provider	Springer Nature Link
Author	Pham, Kim Marigo, Jean Jacques
Copyright Year	2011
Abstract	We propose a construction method of non-homogeneous solutions for the traction problem of an elastic damaging bar. This bar has a softening behavior that obeys a gradient damaged model. The method is applicable for a wide range of brittle materials. For sufficiently long bars, we show that localization arises on sets whose length is proportional to the material internal length and with a profile that is also a material characteristic. From its onset until the rupture, the damage profile is obtained either in a closed form or after a simple numerical integration depending on the model. Thus, the proposed method provides definitions for the critical stress and fracture energy that can be compared with experimental results. We finally discuss some features of the global behavior of the bar such as the possibility of a snapback at the onset of damage. We point out the sensitivity of the responses to the parameters of the damage law. All these theoretical considerations are illustrated by numerical examples.
Starting Page	147
Ending Page	171
Page Count	25
File Format	PDF
ISSN	09351175
Journal	Continuum Mechanics and Thermodynamics
Volume Number	25
Issue Number	2-4
e-ISSN	14320959
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-12-22
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Damage Gradient theory Localization Variational approach Classical Continuum Physics Engineering Thermodynamics, Heat and Mass Transfer Theoretical and Applied Mechanics Structural Materials
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

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