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Date of download: 12/23/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: FE column I: (a) reaction forces per unit width at the front and back ends versus time curves and (b) deformation shapes of sandwich columns at different times; contours are shown for a vertical displacement component normal to the face sheet planes. Times t1, t2, and t3 for ①, ②, and ③ are 533, 1067, and 4000 μs.

2 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: Considered quasi-static material curve of SS304

3 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: (a) Schematic diagram for the preliminary FE simulations, (b) sideview, and (c) cross section and sandwich geometric parameter notation

4 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: FE column II: (a) reaction forces per unit width at the front and back ends versus time curves and (b) deformation shapes of sandwich columns at different times; contours are shown for a vertical displacement component normal to the face sheet planes. Times t1, t2, and t3 for ①, ②, and ③ are 1000, 3000, and 9000 μs.

5 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: FE column III: (a) reaction forces per unit width at the front and back ends versus time curves and (b) deformation shapes of sandwich columns at different times; contours are shown for a vertical displacement component normal to the face sheet planes. Times t1, t2, and t3 for ①, ②, and ③ are 133, 266, and 1067 μs.

6 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: FE column IV: (a) reaction forces per unit width at the front and back ends versus time curves and (b) deformation shapes of sandwich columns at different times; contours are shown for a vertical displacement component normal to the face sheet planes. Times t1, t2, and t3 for ①, ②, and ③ are 1000, 3333, and 4000 μs.

7 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: (a) Patch plates on a core web plate of a corrugated core sandwich column, (b) patch plates on a face plate of a corrugated core sandwich column, and (c) boundary conditions of the patch plates

8 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: FE validation of the analytical model for the Al6061-T6 elastic plate (A: 0.457 mm, W: 22.0 mm, L: 300 mm, ξ(LP) = 10−3 A, and V = 1 m/s): (a) reaction force per unit width and out-of-plane displacement at the midpoint of the patch plate (or failed wrinkle) and (b) and (c) out-of-plane displacement at t = 667 and 866 μs, respectively

9 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: FE validation of the analytical model for the SS304 elastic plate (A: 0.25 mm, W: 35.35 mm, L: 353 mm, ξ(LP) = 10−3 A, and V = 1 m/s): (a) reaction force per unit width and out-of-plane displacement at the midpoint of the patch plate (or failed wrinkle) and (b) and (c) out-of-plane displacement at t = 433 and 500 μs, respectively

10 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: FE validation of the analytic model for the SS304 elastic–plastic plate (A: 1.0, W: 35.35, L: 353, ξ(LP) = 10−2 A, and V = 1 m/s): (a) reaction force per unit width and out-of-plane displacement at the midpoint of the patch plate (or failed wrinkle) an (b) and (c) out-of-plane displacement at t = 1200 and 2500 μs, respectively

11 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: Considered material curve of Al6061-T6

12 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: Boundary conditions of FEA of plates

13 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: The assigned eigenmode shape superposed for initial curvature imperfections. A repetitive buckling pattern is shown; however, the amplitude of each wrinkle is different, but of the same order. In the dynamic analysis of the plates, the mode shape with a magnitude ξ(LP) is added to the flat plates.

14 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: FE validation of the analytic model for the Al6061 elastic–plastic plate (A: 0.88, W: 22.0, L: 300, ξ(LP) = 10−2 A, and V = 1 m/s): (a) reaction force per unit width and out-of-plane displacement at the midpoint of the patch plate (or failed wrinkle) and (b) and (c) out-of-plane displacement at t = 1200 and 1534 μs, respectively

15 Date of download: 12/23/2017 Copyright © ASME. All rights reserved. From: Dynamic Buckling Response of Long Plates for the Prediction of Local Plate Buckling of Corrugated Core Sandwich Columns J. Appl. Mech. 2015;82(11): doi: / Figure Legend: Postcritical responses of the Al6061-T6 elastic plates of two different plate thicknesses under V = 0.1 m/s calculated from FEM and the analytical model: (a) A = 0.1 mm and (b) A = 0.457 mm


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