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Hierarchical modeling in the mechanics of materials

โœ Scribed by E.B Tadmor; R Phillips; M Ortiz

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
299 KB
Volume
37
Category
Article
ISSN
0020-7683

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โœฆ Synopsis

Many problems in the mechanics of materials involve the operation of either multiple spatial or temporal scales simultaneously. As a result, an important thrust of recent work in this area has been the development of methods allowing for the consideration of multiple scales simultaneously. In this paper, we examine hierarchical approaches to modeling problems of this kind with special reference to the way in which information can be fed from one scale to the next in models of plasticity.

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## Kelvin problem a b s t r a c t The doublet mechanics (DM) theory was developed [7,8] for modeling the behavior of solids where the microstructure is important. Within the DM theory, solid bodies are discretized as an ensemble of particles, with each pair of neighboring particles forming a 'doubl