Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: (a) Assembly process of tetrahedra unit elements leading to topological interlocking. (b) Example of a TIM assembly with 7 × 7 unit elements.

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: (a) TIMs with varying span, L0, but constant unit element edge length, a0. (b) TIMs with constant span, but varying unit element edge lengths. (c) TIMs with varying span but constant number of tetrahedra in each direction, N, and hence constant aspect ratio, a0/L0.

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: (a) A representative TIM and the abutments supporting the TIM. (b) Two characteristic cross sections of the TIM.

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: A schematic of a representative load carrying cross section of a TIM monolayer (a) undeformed state, and, (b) deformed state including the lines of thrust

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: Computationally predicted F − δ results for TIM assemblies corresponding to assemblies of Fig. 2: (a) a = const and N increasing; (b) L0/a0 = const and N increasing, and, (c) N = const and a varying

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: Compressive principal stress vectors, σP3, at displacement δ/a0 = 0.04 from simulations with slip suppressed. The 7 × 7 assembly (a) top view and (b) section view (shown for plane, P1).

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: Compressive principal stress vectors, σP3, at displacement δ/a0 = 0.04 from simulations with slip suppressed. The 19 × 19 assembly (a) top view and (b) section view (shown for plane, P1).

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: Stiffness scaling analysis results for assembled TIMs obtained from FEA for δ/a0 = 0.04, and from analytical model, Eq. (17). Shown are results for effect on stiffness of TIM span, Fig. 2(a).

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: Stiffness scaling analysis results for assembled TIMs obtained from FEA for δ/a0 = 0.04, and from analytical model, Eq. (17). Shown are results for effect on stiffness of unit element edge length, Fig. 2(b).

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: Stiffness scaling analysis results for assembled TIMs for constant a0/L0, Fig. 2(c), obtained from FEA for δ/a0 = 0.04, and analytical model, Eq. (18)

Date of download: 10/2/2017 Copyright © ASME. All rights reserved. From: Scaling of the Elastic Behavior of Two-Dimensional Topologically Interlocked Materials Under Transverse Loading J. Appl. Mech. 2013;81(3):031011-031011-9. doi:10.1115/1.4024907 Figure Legend: (a) Dependence of the TIM stiffness on the coefficient of friction for the reference 7 × 7 assembly; (b) section view of the assemblies for suppressed slip (μ = 100.00) and with slip (μ = 0.3)