Identification of response functions from axisymmetric membrane inflation tests: Implications for biomechanics

F. P.K. Hsu; C. Schwab; D. Rigamonti; J. D. Humphrey

doi:10.1016/0020-7683(94)90021-3

Identification of response functions from axisymmetric membrane inflation tests: Implications for biomechanics

F. P.K. Hsu, C. Schwab, D. Rigamonti, J. D. Humphrey

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

There is a need in biomechanics to identify classes of experiments that allow direct determination of constitutive relations while preserving the natural geometry of the tissue. In this paper, we show how specific forms of response functions can be identified for nonlinear hyperelastic membranes by measuring principal stretch ratios, principal curvatures and distending pressures during quasi-static axisymmetric inflation tests. For completeness, we also list all of the equations that are needed to experimentally implement this new constitutive approach.

Original language	English (US)
Pages (from-to)	3375-3386
Number of pages	12
Journal	International Journal of Solids and Structures
Volume	31
Issue number	24
DOIs	https://doi.org/10.1016/0020-7683(94)90021-3
State	Published - Dec 1994
Externally published	Yes

ASJC Scopus subject areas

Modeling and Simulation
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/0020-7683(94)90021-3

Cite this

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title = "Identification of response functions from axisymmetric membrane inflation tests: Implications for biomechanics",

abstract = "There is a need in biomechanics to identify classes of experiments that allow direct determination of constitutive relations while preserving the natural geometry of the tissue. In this paper, we show how specific forms of response functions can be identified for nonlinear hyperelastic membranes by measuring principal stretch ratios, principal curvatures and distending pressures during quasi-static axisymmetric inflation tests. For completeness, we also list all of the equations that are needed to experimentally implement this new constitutive approach.",

author = "Hsu, {F. P.K.} and C. Schwab and D. Rigamonti and Humphrey, {J. D.}",

note = "Funding Information: A,knoll'/edgel11cnts-Partial financial support from the Veterans Affairs Medical Center, Baltimore (to DR and JDH), the National Science Foundation through Grant PYI :BCS-9l57798 (to JDH), and the Air Force Office of Scientific Research through Grant F49620-J-OIOO (to CS) is gratefully acknowledged. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

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AU - Schwab, C.

AU - Rigamonti, D.

AU - Humphrey, J. D.

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Y1 - 1994/12

N2 - There is a need in biomechanics to identify classes of experiments that allow direct determination of constitutive relations while preserving the natural geometry of the tissue. In this paper, we show how specific forms of response functions can be identified for nonlinear hyperelastic membranes by measuring principal stretch ratios, principal curvatures and distending pressures during quasi-static axisymmetric inflation tests. For completeness, we also list all of the equations that are needed to experimentally implement this new constitutive approach.

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Identification of response functions from axisymmetric membrane inflation tests: Implications for biomechanics

Abstract

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