Plastic flow equations for the local strain approach in the multiaxial case
This paper presents a system of plastic flow equations which uses and generalizes to the multiaxial case a number of concepts commonly employed in the so-called Local Strain Approach to low cycle fatigue. Everything is built upon the idea of distance between stress points. It is believed that this...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Gruppo Italiano Frattura
2016-07-01
|
| Series: | Fracture and Structural Integrity |
| Subjects: | |
| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero37/numero_37_art_02.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | This paper presents a system of plastic flow equations which uses and generalizes to the multiaxial
case a number of concepts commonly employed in the so-called Local Strain Approach to low cycle fatigue.
Everything is built upon the idea of distance between stress points. It is believed that this will ease the
generalization to the multiaxial case of the intuitive methods used in low cycle fatigue calculations, based on
hysteresis loops, Ramberg‐Osgood equations, Neuber or ESED rule, etc. It is proposed that the stress space is
endowed with a quadratic metric whose structure is embedded in the yield criterion. Considerations of initial
isotropy of the material and of the null influence of the hydrostatic stress upon yielding leads to the realization
of the simplest metric, which is associated with the von Mises yield criterion. The use of the strain‐hardening
hypothesis leads in natural way to a normal flow rule and this establishes a linear relationship between the
plastic strain increment and the stress increment. |
|---|---|
| ISSN: | 1971-8993 1971-8993 |