In the paper the yield condition is proposed for the most general anisotropic material. It is one of the possible generalizations of the Huber-Mises-Hencky yield condition for the case of anisotropy. The body considered is anisotropic elastically as welI as plastically. It is assumed that the plasti
The classical plastic potential theory in comparison with the tensor function theory
โ Scribed by Josef Betten
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 754 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0013-7944
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โฆ Synopsis
In this paper the plastic potential theory is compared with the tensor function theory. The former theory is compatible with the latter, if the material is isotropic, and if additional conditions are fulfilled. However, in cases where one has anisotropic materials, the plastic potential theory only furnishes restricted forms of constitutive equations, even if a general plastic potential has been assumed. Consequently, the classical flow rule must be modified for anisotropic solids. In this paper these appropriate modifications are discussed and the resulting conditions of compatibility are derived.
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