Date of download: 1/2/2018 Copyright © ASME. All rights reserved. From: Hierarchical Structure Enhances and Tunes the Damping Behavior of Load-Bearing Biological Materials J. Appl. Mech. 2016;83(5):051009-051009-9. doi:10.1115/1.4032861 Figure Legend: The self-similar hierarchical model for typical load-bearing biological materials

Date of download: 1/2/2018 Copyright © ASME. All rights reserved. From: Hierarchical Structure Enhances and Tunes the Damping Behavior of Load-Bearing Biological Materials J. Appl. Mech. 2016;83(5):051009-051009-9. doi:10.1115/1.4032861 Figure Legend: Theoretical and FEM results for the variation of the storage modulus (a) and the loss modulus (b) with the aspect ratio of the mineral platelet in the single-level staggered composite (N=1) at oscillatory loadings of low frequency (f = 1 Hz) and high frequency (f = 200 Hz)

Date of download: 1/2/2018 Copyright © ASME. All rights reserved. From: Hierarchical Structure Enhances and Tunes the Damping Behavior of Load-Bearing Biological Materials J. Appl. Mech. 2016;83(5):051009-051009-9. doi:10.1115/1.4032861 Figure Legend: Storage (a) and loss (b) modulus of the self-similar hierarchical composites with different hierarchy number N in response to an oscillatory loading of relatively low frequency (f = 1 Hz)

Date of download: 1/2/2018 Copyright © ASME. All rights reserved. From: Hierarchical Structure Enhances and Tunes the Damping Behavior of Load-Bearing Biological Materials J. Appl. Mech. 2016;83(5):051009-051009-9. doi:10.1115/1.4032861 Figure Legend: (a) The storage and loss shear modulus of the homogenous protein against the loading frequency and (b) the plots of storage and loss modulus of the single-level staggered composite with respect to the loading frequency, in comparison with the data points from FEM simulations

Date of download: 1/2/2018 Copyright © ASME. All rights reserved. From: Hierarchical Structure Enhances and Tunes the Damping Behavior of Load-Bearing Biological Materials J. Appl. Mech. 2016;83(5):051009-051009-9. doi:10.1115/1.4032861 Figure Legend: Comparison of the storage (a) and loss modulus (b) of the self-similar hierarchical composites with different hierarchy number N

Date of download: 1/2/2018 Copyright © ASME. All rights reserved. From: Hierarchical Structure Enhances and Tunes the Damping Behavior of Load-Bearing Biological Materials J. Appl. Mech. 2016;83(5):051009-051009-9. doi:10.1115/1.4032861 Figure Legend: Effects of the characteristic relaxation time of protein on the storage (a) and loss modulus (b) of the homogeneous protein and its effects on the storage (c) and loss modulus (d) of the single-level staggered composite (hierarchy number N=1 and reinforcement aspect ratio ρ=100)

Date of download: 1/2/2018 Copyright © ASME. All rights reserved. From: Hierarchical Structure Enhances and Tunes the Damping Behavior of Load-Bearing Biological Materials J. Appl. Mech. 2016;83(5):051009-051009-9. doi:10.1115/1.4032861 Figure Legend: Effects of the protein viscous ratio on the storage (a) and loss modulus (b) of the homogeneous protein and its effects on the storage (c) and loss modulus (d) of the single-level staggered composite (hierarchy number N=1 and reinforcement aspect ratio ρ=100)

Date of download: 1/2/2018 Copyright © ASME. All rights reserved. From: Hierarchical Structure Enhances and Tunes the Damping Behavior of Load-Bearing Biological Materials J. Appl. Mech. 2016;83(5):051009-051009-9. doi:10.1115/1.4032861 Figure Legend: Contour plots of the storage (a) and loss modulus (b) for the single-level staggered composites versus varying loading frequency and reinforcement aspect ratio

Date of download: 1/2/2018 Copyright © ASME. All rights reserved. From: Hierarchical Structure Enhances and Tunes the Damping Behavior of Load-Bearing Biological Materials J. Appl. Mech. 2016;83(5):051009-051009-9. doi:10.1115/1.4032861 Figure Legend: Plots of the loss modulus for the self-similar hierarchical structure of (a) shell (hierarchy number N = 3 and mineral volume fraction φ=0.95), (b) bone (N = 7 and φ=0.45), and (c) mineralized tendon (N = 6 and φ=0.15)