4.5 Article

Non-linear micromechanics of soft tissues

Journal

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 56, Issue -, Pages 79-85

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2013.03.002

Keywords

Collagenous tissue; Collagen; Elastin; Microstructure; Constitutive relation; Non-affine deformation

Categories

Funding

  1. NHLBI NIH HHS [R01 HL117990, R01 HL087235] Funding Source: Medline

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Microstructure-based constitutive models have been adopted in recent studies of non-linear mechanical properties of biological soft tissues. These models provide more accurate predictions of the overall mechanical responses of tissues than phenomenological approaches. Based on standard approximations in non-linear mechanics, we classified the microstructural models into three categories: (1) uniform-field models with solid-like matrix, (2) uniform-field models with fluid-like matrix, and (3) second-order estimate models. The first two categories assume affine deformation field where the deformation of microstructure is the same as that of the tissue, regardless of material heterogeneities; i.e., they represent the upper bounds of the exact effective strain energy and stress of soft tissues. In addition, the first type is not purely structurally motivated and hence cannot accurately predict the microscopic mechanical behaviors of soft tissues. The third category considers realistic geometrical features, material properties of microstructure and interactions among them and allows for flexible deformation in each constituent. The uniform-field model with fluid-like matrix and the second-order estimate model are microstructure-based, and can be applied to different tissues based on micro-structural features. (C) 2013 Elsevier Ltd. All rights reserved.

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