Undesirable Anisotropy in a Discrete Fiber Bundle Model of Fibrous Tissues

Flynn, Cormac and Rubin, M. B. (2015) Undesirable Anisotropy in a Discrete Fiber Bundle Model of Fibrous Tissues. In: Structure-Based Mechanics of Tissues and Organs. Springer.

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Abstract or Summary

Lanir (J Biomech. 16(1):1–12, 1983) proposed a structural model for the anisotropic response of fibrous tissues with fiber bundles oriented in space by a continuous orientation distribution. Each fiber bundle was assumed to have the same undulation distribution that characterizes its nonlinear elastic response. Recently, a discrete fiber icosahedron model for fibrous soft tissues has been introduced, which is based on fiber bundles parallel to the six lines that connect opposing vertices of a regular icosahedron. Although the parameters in the icosahedron model can be determined to match experimental data for the anisotropic response of various tissues, the icosahedron model predicts anisotropic response when the weights of the six fiber bundles are equal. This chapter quantifies this undesirable anisotropic response and refers to a new icosahedron model based on a generalized invariant which also matches experimental data and analytically reduces to an isotropic form when the weights of the fiber bundles are equal.

Item Type:Book Section
Keywords that describe the item:Soft tissue mechanics, anisotropy, computational model
Subjects:T Technology > TJ Mechanical engineering and machinery
Divisions:Schools > Centre for Engineering and Industrial Design
ID Code:4166
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Deposited On:08 Dec 2015 22:31
Last Modified:20 Nov 2016 23:30

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