A contribution to bifurcation analysis of elastic-plastic beams

✍ Scribed by Ülo Lepik

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 825 KB
• Volume: 21
• Category: Article
• ISSN: 0734-743X
• DOI: 10.1016/s0734-743x(97)87965-1

✦ Synopsis

Bifurcation of axially loaded elastic-plastic beams is discussed. The load is applied instantaneously and remains unaltered during the motion. The effect on stress waves travelling along the beam is taken into account; it allows to cast some more light to the mechanism of plastic buckling. The analysis is limited to the geometrically linear theory. It is assumed that the material has linear strain-hardening.

For solving this problem the quasi-bifurcation theory is applied. The buckling threshold and spectrum of bifurcation times are calculated. A coefficient characterising the exponential growth of buckling modes is introduced. Several numerical examples are given.