A triplane video-based experimental system for studying axisymmetrically inflated biomembranes

Hsu, FangHua; Liu, A.M.C.; Downs, J.; Rigamonti, Daniele; Humphrey, Jay D.

doi:10.1109/10.376148

Cited by 58 publications

(33 citation statements)

References 16 publications

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“…Although the strains in the present experiments were too small, it is likely that crystallization transpires during Treloar's measurements at higher strains. Since the strain energy function used in previous modeling efforts 1,[11][12][13][14][15][16][17][18][19][20]22 excludes this effect, discrepancies between theoretical predictions and Treloar's results may be expected for higher strains.…”

Section: Resultsmentioning

confidence: 97%

“…23,24,[31][32][33] Better accuracy can be realized using a general form of the strain energy function suggested by Rivlin. 22 The curvature in the stress-strain response is captured to some extent by molecular theories of rubber deformation, such as the constraint models, [34][35][36][37][38][39][40] which include the effect of topological interactions on the microscopic deformation. However, these models still tend to overestimate the stress for compression.…”

Section: Resultsmentioning

confidence: 99%

“…Charrier et al 21 investigated inflation in membranes with various geometries, but no information was obtained concerning the strain distributions for the reported profiles. Similarly, Hsu et al 22 determined average strains in soft biological membranes, but not strain distributions. Biaxial inflation has also been employed to determine the strain energy function, 23,24 but attention in these studies focussed on the strain at the pole.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Strains in an Inflated Rubber Sheet

Mott

Roland

Hassan

2003

Rubber Chemistry and Technology

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A technique to measure the strain distribution of an inflated membrane is described, and applied to natural rubber inflated to pole biaxial strains of 12%, 26%, and 33%. The radial strain was found to be nearly constant over the entire surface, while the circumferential strain falls to zero at the edge. Thus, biaxial deformation is limited to a narrow region in the vicinity of the pole. These results are quite different from (the very limited) data published previously. The stressstrain behavior was also measured in uniaxial tension, and the strain distribution of the inflated membrane calculated using finite elements. The experiment results and the modeling were in good agreement.

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Section: Resultsmentioning

confidence: 97%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Strains in an Inflated Rubber Sheet

Mott

Roland

Hassan

2003

Rubber Chemistry and Technology

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“…These studies demonstrated the nonlinear behavior over finite strains that are typical for soft biological tissues. Hsu et al (1994Hsu et al ( , 1995 studied the pressure-deformation behavior of two ICAs harvested as a whole from cadavers. They proposed the nonlinear theory of elastic membranes as an appropriate theoretical framework for saccular aneurysms.…”

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confidence: 99%

Inverse method of stress analysis for cerebral aneurysms

Zhou

Raghavan

2007

Biomech Model Mechanobiol

130

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We present a method for predicting the wall stress in a class of cerebral aneurysms. The method hinges on an inverse formulation of the elastostatic equilibrium problem; it takes as the input a deformed configuration and the corresponding pressure, and predicts the wall stress in the given deformed state. For a membrane structure, the inverse formulation possesses a remarkable feature, that is, it can practically determine the wall tension without accurate knowledge of the wall elastic properties. In this paper, we present a finite element formulation for the inverse membrane problem and perform material sensitivity studies on idealized lesions and an image-based cerebral aneurysm model.

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“…For the square membrane the deformation shape in the center of the membrane can be considered to be axisymmetric. Consequently, the principal stresses are related to the principal curvatures, which are in this case aligned with the global e x and e y directions [9] σ xx = P 2t κ yy ,…”

Section: Global Dicmentioning

confidence: 99%

Global Digital Image Correlation for Pressure Deflected Membranes

Neggers

Hoefnagels

Hild

et al. 2012

MEMS and Nanotechnology, Volume 6

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Bulge testing is known for its ability to quantify the mechanical behavior of homogeneous thin membranes. In this method the measured quantities are related to the averaged stress and strain using bulge equations that only exist for a very limited set of membrane geometries. A novel 3D Digital Image Correlation (DIC) method is proposed to directly measure the strain and curvature fields without using any closed form approximation of the deformation kinematics. Importantly, for membranes under pressure, the stress is directly related to the curvature.

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A triplane video-based experimental system for studying axisymmetrically inflated biomembranes

Cited by 58 publications

References 16 publications

Strains in an Inflated Rubber Sheet

Strains in an Inflated Rubber Sheet

Inverse method of stress analysis for cerebral aneurysms

Global Digital Image Correlation for Pressure Deflected Membranes

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