An application of the equivalent strain energy density method for calculation of elastic-plastic notch-tip strains in circumferential notches under torsion is presented. The mathematical formulation of the method is presented together with its numerical interpretations. Finally, the calculated notch
Plastic stress-strain relations under radial and non-radial combined stress loading
β Scribed by Joseph Marin; John A. Sauer
- Publisher
- Elsevier Science
- Year
- 1953
- Tongue
- English
- Weight
- 523 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
An experimental investigation, using tubes subjected to internal pressure and axial loads, has been made of plastic stress-strain relations for an aluminum alloy. Results are presented for various types of loading, including tests where constant stress ratios were maintained and other tests involving variable stress ratios. In the "radial" loading cases, tests were run and data obtained at five different values of the principal stresses, ranging from pure circumferential tension to pure axial tension. A number of non-radial loading paths were studied and the data plotted in the form of true plastic stress versus true plastic strain curves. It was observed that the principal strains depended greatly on the path of loading used to reach a given principal stress state. It was also observed that onset of yielding was approximately in accord with a shear energy criterion and onset of fracture with a maximum stress criterion. Interpretation of the plastic stress-strain data for all tests has been attempted by use of a J2 type of incremental plasticity theory.
π SIMILAR VOLUMES
In plasticity theoriesapplied in practical calculationsare usually based on the asumption of materials isotropy. Commercially obtained structural metallic materials however are originally anisotropic due to various kinds of thermal and mechanical treatments. Aluminium, titanium and magnesium alloy