Micromechanical poroelastic finite element and shear-lag models of tendon predict large strain dependent Poisson's ratios and fluid expulsion under tensile loading

被引:48
作者
Ahmadzadeh, Hossein [1 ]
Freedman, Benjamin R. [2 ]
Connizzo, Brianne K. [2 ]
Soslowsky, Louis J. [2 ]
Shenoy, Vivek B. [1 ]
机构
[1] Univ Penn, Dept Mat Sci & Engn, Philadelphia, PA 19104 USA
[2] Univ Penn, McKay Orthopaed Res Lab, Philadelphia, PA 19104 USA
基金
美国国家卫生研究院; 美国国家科学基金会;
关键词
Finite element modeling; Poroelasticity; Poisson's ratio; Tendon; Extracellular matrix; FIBER RE-ALIGNMENT; MOUSE SUPRASPINATUS TENDON; SULFATE-SUBSTITUTED AGAROSE; MEDIAL COLLATERAL LIGAMENT; RABBIT PATELLAR TENDON; COLLAGEN FIBRILS; MECHANICAL-PROPERTIES; VISCOELASTIC PROPERTIES; ACHILLES-TENDON; MULTISCALE MECHANICS;
D O I
10.1016/j.actbio.2015.04.035
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
As tendons are loaded, they reduce in volume and exude fluid to the surrounding medium. Experimental studies have shown that tendon stretching results in a Poisson's ratio greater than 0.5, with a maximum value at small strains followed by a nonlinear decay. Here we present a computational model that attributes this macroscopic observation to the microscopic mechanism of the load transfer between fibrils under stretch. We develop a finite element model based on the mechanical role of the interfibrillar-linking elements, such as thin fibrils that bridge the aligned fibrils or macromolecules such as glycosaminoglycans (GAGs) in the interfibrillar sliding and verify it with a theoretical shear-lag model. We showed the existence of a previously unappreciated structure-function mechanism whereby the Poisson's ratio in tendon is affected by the strain applied and interfibrillar-linker properties, and together these features predict tendon volume shrinkage under tensile loading. During loading, the interfibrillar-linkers pulled fibrils toward each other and squeezed the matrix, leading to the Poisson's ratio larger than 0.5 and fluid expulsion. In addition, the rotation of the interfibrillar-linkers with respect to the fibrils at large strains caused a reduction in the volume shrinkage and eventual nonlinear decay in Poisson's ratio at large strains. Our model also predicts a fluid flow that has a radial pattern toward the surrounding medium, with the larger fluid velocities in proportion to the interfibrillar sliding. (C) 2015 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:83 / 91
页数:9
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