AN ANISOTROPIC STRESS RESULTANT CONSTITUTIVE LAW FOR SHEET METAL FORMING
✍ Scribed by C. H. CHOU; J. PAN; S. C. TANG
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 725 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
✦ Synopsis
Based on Hill's quadratic orthotropic yield function, a yield function in the stress resultant space is approximated in quadratic form for sheets with planar isotropy and normal anisotropy. An equivalent stress resultant is defined and the equivalent work-conjugate generalized plastic strain rate is then derived. A power-law hardening rule between the equivalent stress resultant and generalized plastic strain is obtained under proportional straining conditions. A hemispherical punch stretching operation and a plane-strain draw operation are simulated by finite element methods based on the stress resultant constitutive law. The results of these finite element simulations are in good agreement with those using the through-the-thickness integration method. The results also indicate that the computational time of the simulations based on the stress resultant constitutive law is much shorter than that based on the through-the-thickness integration method.