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First published online May 5, 2005
Journal of Experimental Biology 208, 1937-1949 (2005)
Published by The Company of Biologists 2005
doi: 10.1242/jeb.01597
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Quasistatic and continuous dynamic characterization of the mechanical properties of silk from the cobweb of the black widow spider Latrodectus hesperus

Todd A. Blackledge1,*, John E. Swindeman2 and Cheryl Y. Hayashi1

1 Department of Biology, University of California, Riverside, CA 92521, USA
2 MTS Systems Corporation, 1001 Larson Drive, Oak Ridge, TN 37830, USA



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Fig. 1. Western black widows (Latrodectus hesperus) construct cobwebs that consist of three primary regions. A supporting structure (SSt) of dragline threads is used to suspend a non-sticky sheet (SH) that the spider uses to move around the web. Gumfooted lines (GF) extend downward from the sheet to the substrate and are held under tension by the sheet.

 


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Fig. 2. Dynamic analysis of mechanical behavior quantifies the elastic and viscous behavior of materials. (A) The phase lag ({delta}) is the displacement of the sinusoidal stress response (gray) to a tiny applied strain oscillation (black). The degree to which the peak amplitude of the stress response curve is in phase with that of the applied strain oscillation measures elasticity while the viscosity is measured by the degree to which the stress response 90° out of phase with strain. (B) Vector relationship between dynamic material properties are illustrated by the solid line vectors. Dynamic stiffness (E*) is determined by the storage modulus (E') and the loss modulus (E''). Tan{delta} (loss tangent) defines the relative viscous and elastic behavior of the material. E' and E'' can change independently of one another and of tan{delta}. The dotted line vectors illustrate an example where increases in both E' and E'' result in a decrease in tan{delta}.

 


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Fig. 3. Mean (±S.E.M.) diameter of single fibers from the sheet and supporting structure regions (SH/SSt; N=54), gumfooted lines (GF; N=36), and forcibly silked major ampullate fibers (FS; N=52). Diameters for the thicker and thinner pair of fibers at the base of gumfooted lines are shown separately.

 


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Fig. 4. Exemplar stress-strain curves for each type of silk. The gray and black lines denote test data for two different spiders (N=6 for each spider).

 


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Fig. 5. Mean (±S.E.M.) material properties of L. hesperus silk from the sheet/supporting thread region (SH/SSt) of webs (N=54), gumfooted capture threads (GF; N=47), and single strands of major ampullate silk forcibly pulled from spinnerets of anesthetized spiders (FS; N=52). Horizontal bars denote significant pairwise differences between means using post hoc Tukey's HSD tests for unequal sample sizes. (A) Young's modulus; (B) yield strain; (C) extensibility; (D) ultimate strength; and (E) toughness.

 


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Fig. 6. Relationship between extensibility and ultimate strength for sheet and supporting thread silk (N=54), gumfooted capture threads (N=47), and forcibly silked major ampullate threads (N=52). Correlation coefficients are from linear regression (P<0.05 for sheet/supporting threads and P<0.001 for gumfooted lines).

 


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Fig. 7. Relationship between cross-sectional areas of silk threads and mechanical properties. Data are the means for each spider (N=7). Regressions of mechanical characteristics against cross-sectional area with significant correlation coefficients and P-values are indicated. (A) Young's modulus; (B) yield strain; (C) extensibility; (D) ultimate strength; and (E) toughness.

 


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Fig. 8. Dynamic mechanical properties for black widow silk. Exemplar curves are shown for sheet/supporting threads (black), gumfooted lines (dotted), and forcibly silked major ampullate fibers (gray).

 


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Fig. 9. Mean (±S.E.M.) dynamic properties for sheet/supporting threads (SH/SSt; N=12), gumfooted lines (GF; N=21), and forcibly silked major ampullate threads (FS; N=14). All properties differed among silks, except strain at max. loss tangent (one-way ANOVAs, F2,35=5-13, P at least <0.005). Post hoc comparsions of means using Tukey's HSD tests for unequal sample sizes indicated that the performance of the forcibly silked major ampullate fibers was significantly different from sheet/supporting threads and gumfooted lines for all properties except strain at max. loss tangent (P at least <0.05).

 


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Fig. 10. Gumfooted lines consist of two pairs of silk fibers that are coated with an aggregate silk glue along their lower 5-15 mm. One pair of fibers has a larger diameter and runs continuously from the sheet to the substrate. The second pair of smaller diameter silk fibers is cut by the spiders just above an attachment point to the larger fibers. Thus, the `foot' of the line consists of four fibers that are viscid (glue covered) along their base and are then dry until the attachment point, while the bulk of the gumfoot is two dry, large diameter fibers.

 


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Fig. 11. Mean (±S.E.M.) mechanical properties of adjacent regions of dry and viscid gumfooted lines (N=21).

 


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Fig. 12. Dynamic mechanical properties of viscid (black) and dry (gray) portions of the gumfooted lines. Two pairs of samples are shown.

 

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© The Company of Biologists Ltd 2005