Research Papers

Mechanical Characteristics of Bovine Glisson's Capsule as a Model Tissue for Soft Collagenous Membranes

[+] Author and Article Information
Kevin Bircher

Institute for Mechanical Systems,
ETH Zurich,
Zurich 8092, Switzerland
e-mail: bircher@imes.mavt.ethz.ch

Alexander E. Ehret

Institute for Mechanical Systems,
ETH Zurich,
Zurich 8092, Switzerland;
Swiss Federal Laboratories
for Materials Science and Technology,
Dübendorf 8600, Switzerland
e-mail: ehret@imes.mavt.ethz.ch

Edoardo Mazza

Institute for Mechanical Systems,
ETH Zurich,
Zurich 8092, Switzerland;
Swiss Federal Laboratories
for Materials Science and Technology,
Dübendorf 8600, Switzerland
e-mail: mazza@imes.mavt.ethz.ch

Manuscript received December 18, 2015; final manuscript received June 3, 2016; published online June 30, 2016. Assoc. Editor: Guy M. Genin.

J Biomech Eng 138(8), 081005 (Jun 30, 2016) (11 pages) Paper No: BIO-15-1651; doi: 10.1115/1.4033917 History: Received December 18, 2015; Revised June 03, 2016

An extensive multiaxial experimental campaign on the monotonic, time- and history-dependent mechanical response of bovine Glisson's capsule (GC) is presented. Reproducible characteristics were observed such as J-shaped curves in uniaxial and biaxial configurations, large lateral contraction, cyclic tension softening, large tension relaxation, and moderate creep strain accumulation. The substantial influence of the reference state selection on the kinematic response and the tension versus stretch curves is demonstrated and discussed. The parameters of a large-strain viscoelastic constitutive model were determined based on the data of uniaxial tension relaxation experiments. The model is shown to well predict the uniaxial and biaxial viscoelastic responses in all other configurations. GC, the corresponding model, and the experimental protocols are proposed as a useful basis for future studies on the relation between microstructure and tissue functionality and on the factors influencing the mechanical response of soft collagenous membranes.

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Fig. 1

Fibrils and fiber bundles in bovine GC: (a) multiphoton microscopy (second harmonic generation) and (b) scanning electron microscopy from Ref. [9]

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Fig. 2

Top-view illustration of clampings (black) and samples (white) in uniaxial tension, strip-biaxial tension, and membrane inflation. The free lengths L0 and widths W0 in the reference state of uniaxial and strip-biaxial tests as well as the inner diameter di of membrane inflation are defined and the areas to extract the local deformation field are shown (gray). On the left, an example is shown of the markers applied to determine the strain field in the center of the test pieces.

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Fig. 3

The inflated membrane in the reference (dashed line) and deformed (solid line) state as well as radius of curvature R and apex displacement d are shown. Two cameras record top- and side-view images, where the high degree of illumination from the LED panel is visible in the side-view images.

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Fig. 4

Tension–stretch curves and kinematic responses of M-UA tests, interpreted with force thresholds of Fth = 0.1 N (dashed lines) and Fth = 0.01 N (solid lines)

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Fig. 5

Tension–strain curves of the M-I experiments represented for two pressure thresholds pth = 0.3 mbar (solid) and pth = 3 mbar (dashed)

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Fig. 12

Experimental data of the first loading ramp and holding phase of all relaxation and creep tests together with the corresponding model prediction based on the sample-specific parameter μ¯0. (Row 1: uniaxial relaxation, row 2: strip-biaxial relaxation, row 3: uniaxial creep, and row 4: equibiaxial creep).

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Fig. 11

Experimental data (mean ± SD) of the first holding phase (solid lines) of creep (C) and relaxation (R) tests in uniaxial (UA), strip-biaxial (SB), and equibiaxial (I) tension states as well as model prediction (mod) with parameters given in Table 5 (dashed lines)

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Fig. 10

Flowchart illustrating the model parameter identification procedure, similar to Ref. [35]. The optimization OPT0 is performed with mean data of uniaxial relaxation tests in order to identify the ten fixed model parameters. For the sample-specific constitutive model parameters, only μ¯0 was varied in OPT(i) for all time-dependent experiments.

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Fig. 9

Mean curves and standard deviation of the normalized lateral contraction in uniaxial relaxation (R-UA) and creep (C-UA) experiments for the first (solid) and second (dashed) holding phases

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Fig. 8

Mean normalized tension relaxation (R) and creep (C) strains in the first (solid lines) and second (dashed lines) holding phases of the time-dependent tests in uniaxial (UA), strip-biaxial (SB), and equibiaxial (I) tension states. Error bars represent the standard deviation.

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Fig. 7

Normalized tension versus strain curves of the four different time-dependent tests. The strain normalization procedure proposed by Mauri et al. [22] was applied. R: relaxation, C: creep, UA: uniaxial, SB: strip-biaxial, I: inflation, 1: first holding phase, and 2: second holding phase.

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Fig. 6

Average tension–stretch curves and kinematic responses of the ten loadings in uniaxial cyclic tests



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