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

Micromechanical poroelastic finite element and shear-lag models of tendon predict large strain dependent Poisson's ratios and fluid expulsion under tensile loading.
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DOI:
10.1016/j.actbio.2015.04.035
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发表时间:
2015-08
期刊:
影响因子:
9.7
通讯作者:
Shenoy, Vivek B.
Shenoy, Vivek B.
中科院分区:
工程技术1区
文献类型:
--
作者:
Ahmadzadeh, Hossein;Freedman, Benjamin R.;Connizzo, Brianne K.;Soslowsky, Louis J.;Shenoy, Vivek B.

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当肌腱被加载时,它们的体积减小并向周围介质渗出液体。实验研究表明,钢筋束拉伸导致泊松比大于0.5,在小应变下出现最大值,随后出现非线性衰减。在这里,我们提出了一个计算模型,该模型将这种宏观观察归因于拉伸下原纤维之间的负载转移的微观机制。我们开发了一个有限元模型的基础上的机械作用的纤维间连接的元素,如细纤维之间的对齐的原纤维或大分子,如糖胺聚糖(GAG)在纤维间滑动桥接,并验证它与理论剪切滞后模型。我们发现存在一个以前不受重视的结构功能机制,即泊松比在肌腱的影响所施加的应变和纤维间连接器的属性,并结合这些功能预测拉伸载荷下的肌腱体积收缩。在加载过程中,纤维间连接体将纤维拉向彼此并挤压基质,导致泊松比大于0.5和流体排出。此外,在大应变的原纤间连接器相对于原纤的旋转引起的体积收缩和最终的泊松比在大应变的非线性衰减的减少。我们的模型还预测了流体流动,具有径向图案朝向周围介质,与较大的流体速度成比例的纤维间滑动。
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 are bridging between 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 towards 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.
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