Finite Deformation Analysis Using Natural Strain (Formulation of Elasto-Plastic Decomposition for Strain Rates and Strain Paths of Elastic Strain and Plastic Strain in Large Pure Shear)
| Autor: | Yasuyuki Kato |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Shearing (physics)
Lateral strain Materials science Mechanical Engineering Infinitesimal strain theory Strain energy density function Strain rate Pure shear Condensed Matter::Materials Science Mechanics of Materials Finite strain theory General Materials Science Levy–Mises equations Composite material |
| Zdroj: | TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A. 78:249-264 |
| ISSN: | 1884-8338 0387-5008 |
| DOI: | 10.1299/kikaia.78.249 |
| Popis: | The Natural Strain suggested in this paper is a strain expression, which is obtained by integrating an infinitesimal strain rate on an identical line element in the body. Consequently, the shearing strain becomes pure angular strain which is obtained by removing the rigid body rotation from the rotating angle of a line element. Since the additive law of strain on an identical line element can be satisfied, this strain rate can be clearly decomposed into the elastic component and the plastic component. In this paper, the elasto-plastic decomposition of strain rates in the large pure shear is formulated on the basis of the concepts of the intermediate configuration, which is originally proposed by E.H.Lee, and the geometrical meaning of this formulation is revealed. The strain distributions of the elastic and the plastic strain component and the locus of strain on an identical line element are calculated numerically and the rationality of this formulation is verified. |
| Databáze: | OpenAIRE |
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