From: Post-Buckling Analysis of Curved Beams Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Post-Buckling Analysis of Curved Beams J. Appl. Mech. 2017;84(3):031007-031007-15. doi:10.1115/1.4035534 Figure Legend: Schematic illustration of initial and deformed curved beam

From: Post-Buckling Analysis of Curved Beams Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Post-Buckling Analysis of Curved Beams J. Appl. Mech. 2017;84(3):031007-031007-15. doi:10.1115/1.4035534 Figure Legend: Schematic illustration of elastic ring under uniform compression

From: Post-Buckling Analysis of Curved Beams Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Post-Buckling Analysis of Curved Beams J. Appl. Mech. 2017;84(3):031007-031007-15. doi:10.1115/1.4035534 Figure Legend: The ratio of load to critical load, p¯2/p¯2(0), versus the normalized displacement, U2max/(2R), during post-buckling, which is consistent with the results of Carrier's model

From: Post-Buckling Analysis of Curved Beams Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Post-Buckling Analysis of Curved Beams J. Appl. Mech. 2017;84(3):031007-031007-15. doi:10.1115/1.4035534 Figure Legend: Schematic illustration of boundary conditions of circular beam under bending moment load

From: Post-Buckling Analysis of Curved Beams Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Post-Buckling Analysis of Curved Beams J. Appl. Mech. 2017;84(3):031007-031007-15. doi:10.1115/1.4035534 Figure Legend: The ratio, γε, with and without the nonlinear terms in curvature: (a) the ratio, γε, versus the Poisson's ratio ν for the normalized angle α¯=1/4, 1/2, and 2/3. (b) The ratio, γε, versus the normalized angle α¯ for gold (i.e., ν=0.42).

From: Post-Buckling Analysis of Curved Beams Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Post-Buckling Analysis of Curved Beams J. Appl. Mech. 2017;84(3):031007-031007-15. doi:10.1115/1.4035534 Figure Legend: The normalized maximum principal strain εmaxR/w with and without the nonlinear terms in curvature versus the shortening ratio γd for ν=0.42 and α¯=1/4, 1/2, and 2/3

From: Post-Buckling Analysis of Curved Beams Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Post-Buckling Analysis of Curved Beams J. Appl. Mech. 2017;84(3):031007-031007-15. doi:10.1115/1.4035534 Figure Legend: The distributions of the twist angle of the circular beam for the different shortening ratios, γd  = 0.1, 0.2, and 0.3

From: Post-Buckling Analysis of Curved Beams Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Post-Buckling Analysis of Curved Beams J. Appl. Mech. 2017;84(3):031007-031007-15. doi:10.1115/1.4035534 Figure Legend: Schematic illustration of boundary conditions of circular beam under uniform pressure

From: Post-Buckling Analysis of Curved Beams Date of download: 10/24/2017 Copyright © ASME. All rights reserved. From: Post-Buckling Analysis of Curved Beams J. Appl. Mech. 2017;84(3):031007-031007-15. doi:10.1115/1.4035534 Figure Legend: The ratio of load to critical load, p¯2/p¯2(0), with and without the nonlinear terms in curvature versus the normalized out-of-plane displacement, U1max/LS, for ν=0.42 and α¯=1/4, 1/2, and 2/3