Abstract
Abstract In this work, we present analytic formulas for calculating the critical buckling states of some plastic axial columns of constant cross-sections. The associated critical buckling loads are calculated by Euler-type analytic formulas and the associated deformed shapes are presented in terms of generalized trigonometric functions. The plasticity of the material is defined by the Hollomon's power-law equation. This is an extension of the Euler critical buckling loads of perfect elastic columns to perfect plastic columns. In particular, critical loads for perfect straight plastic columns with circular and rectangular cross-sections are calculated for a list of commonly used metals. Connections and comparisons to the classical result of the Euler-Engesser reduced-modulus loads are also presented.
| Original language | English |
|---|---|
| Article number | 2675 |
| Pages (from-to) | 69-76 |
| Number of pages | 8 |
| Journal | Mechanics Research Communications |
| Volume | 47 |
| DOIs | |
| Publication status | Published - Aug 7 2013 |
| Externally published | Yes |
Fingerprint
Keywords
- Axial plastic columns
- Critical buckling load
- High strength metals
- Hollomon's law
- Work-hardening
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanical Engineering
- Civil and Structural Engineering
- Mechanics of Materials
- Materials Science(all)
Cite this
Critical buckling loads of the perfect Hollomon's power-law columns. / Wei, Dongming; Sarria, Alejandro; Elgindi, Mohamed.
In: Mechanics Research Communications, Vol. 47, 2675, 07.08.2013, p. 69-76.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Critical buckling loads of the perfect Hollomon's power-law columns
AU - Wei, Dongming
AU - Sarria, Alejandro
AU - Elgindi, Mohamed
PY - 2013/8/7
Y1 - 2013/8/7
N2 - Abstract In this work, we present analytic formulas for calculating the critical buckling states of some plastic axial columns of constant cross-sections. The associated critical buckling loads are calculated by Euler-type analytic formulas and the associated deformed shapes are presented in terms of generalized trigonometric functions. The plasticity of the material is defined by the Hollomon's power-law equation. This is an extension of the Euler critical buckling loads of perfect elastic columns to perfect plastic columns. In particular, critical loads for perfect straight plastic columns with circular and rectangular cross-sections are calculated for a list of commonly used metals. Connections and comparisons to the classical result of the Euler-Engesser reduced-modulus loads are also presented.
AB - Abstract In this work, we present analytic formulas for calculating the critical buckling states of some plastic axial columns of constant cross-sections. The associated critical buckling loads are calculated by Euler-type analytic formulas and the associated deformed shapes are presented in terms of generalized trigonometric functions. The plasticity of the material is defined by the Hollomon's power-law equation. This is an extension of the Euler critical buckling loads of perfect elastic columns to perfect plastic columns. In particular, critical loads for perfect straight plastic columns with circular and rectangular cross-sections are calculated for a list of commonly used metals. Connections and comparisons to the classical result of the Euler-Engesser reduced-modulus loads are also presented.
KW - Axial plastic columns
KW - Critical buckling load
KW - High strength metals
KW - Hollomon's law
KW - Work-hardening
UR - http://www.scopus.com/inward/record.url?scp=84887051323&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84887051323&partnerID=8YFLogxK
U2 - 10.1016/j.mechrescom.2012.09.004
DO - 10.1016/j.mechrescom.2012.09.004
M3 - Article
VL - 47
SP - 69
EP - 76
JO - Mechanics Research Communications
JF - Mechanics Research Communications
SN - 0093-6413
M1 - 2675
ER -