TY - GEN
T1 - Improved First Order Formulation for Buckling Analysis of Functionally Graded Beams
AU - Vallejos, Augusto
AU - Ayala, Shammely
AU - Arciniega, Roman
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/9/30
Y1 - 2020/9/30
N2 - In this research, an improved first order formulation is presented to study the critical buckling load in functionally graded beams. The formulation has five independent variables in comparison with the Timoshenko theory that has three. The Trefftz criterion is utilized with incremental and fundamental states to define the stability analysis. Virtual work statements are derived for the finite element model where the field variables are interpolated by Lagrange polynomials. The numerical results are compared and verified with other formulations found in literature. Parametric studies are also carried out for buckling behavior due to different slenderness ratios, power-law indices and boundary conditions. Applications of the model to functionally graded materials show the validity of the present approach.
AB - In this research, an improved first order formulation is presented to study the critical buckling load in functionally graded beams. The formulation has five independent variables in comparison with the Timoshenko theory that has three. The Trefftz criterion is utilized with incremental and fundamental states to define the stability analysis. Virtual work statements are derived for the finite element model where the field variables are interpolated by Lagrange polynomials. The numerical results are compared and verified with other formulations found in literature. Parametric studies are also carried out for buckling behavior due to different slenderness ratios, power-law indices and boundary conditions. Applications of the model to functionally graded materials show the validity of the present approach.
KW - buckling
KW - finite element model
KW - functionally graded beams
KW - Improve first order theory
KW - stability analysis
UR - https://www.scopus.com/pages/publications/85096583548
U2 - 10.1109/CONIITI51147.2020.9240368
DO - 10.1109/CONIITI51147.2020.9240368
M3 - Contribución a la conferencia
AN - SCOPUS:85096583548
T3 - 2020 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2020 - Conference Proceedings
BT - 2020 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2020 - Conference Proceedings
A2 - Martinez, Monica Andrea Rico
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2020 Congreso Internacional de Innovacion y Tendencias en Ingenieria, CONIITI 2020 - 2020 International Conference on Innovation and Trends in Engineering, CONIITI 2020
Y2 - 30 September 2020 through 2 October 2020
ER -