Von Mises stress for two-dimensional elasticity problems
- Univ. de Poitiers (France). Lab. de Metallurgie Physique
- CNRS, Toulouse (France). Centre d`Elaboration des Materiaux et d`Etudes Structurales
The internal stresses arising from the misfit between the {gamma} and {gamma}{prime} phases of singlecrystal superalloy have a great influence on the mechanical properties of such materials at high temperatures. Several authors have determined these stresses by finite element calculations. These authors used a two dimension model (2D) to describe the approximately cubic shape of the {gamma}{prime} precipitates. Two questions arise from the use of 2D models for 3D structures. The first concerns the uncertainty of such models and this has been evaluated by Muller in a recent paper. The second involves the Von Mises (VM) stress. The authors use this stress as defined for 3D to describe the state of stress that can bring about plastic 2D strain. This stress is directly related to the distortion energy and is appropriate for single crystal material undergoing plastic deformation through dislocation gliding; however careful consideration is required for 2D analyses. In this paper, a VM stress in 2D is defined having the same physical significance as for 3D. Then, the difference is evaluated between these two stresses (VM for 2D and VM for 3D) for the case of a spherical precipitate.
- OSTI ID:
- 201043
- Journal Information:
- Scripta Materialia, Vol. 34, Issue 3; Other Information: PBD: 1 Feb 1996
- Country of Publication:
- United States
- Language:
- English
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