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Biaxial Tensile Testing and Constitutive Modeling of Human Supraspinatus Tendon

机译:人上pr肌腱的双轴拉伸试验和本构模型

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摘要

The heterogeneous composition and mechanical properties of the supraspinatus tendon offer an opportunity for studying the structure-function relationships of fibrous musculoskeletal connective tissues. Previous uniaxial testing has demonstrated a correlation between the collagen fiber angle distribution and tendon mechanics in response to tensile loading both parallel and transverse to the tendon longitudinal axis. However, the planar mechanics of the supraspinatus tendon may be more appropriately characterized through biaxial tensile testing, which avoids the limitation of nonphysiologic traction-free boundary conditions present during uniaxial testing. Combined with a structural constitutive model, biaxial testing can help identify the specific structural mechanisms underlying the tendon’s two-dimensional mechanical behavior. Therefore, the objective of this study was to evaluate the contribution of collagen fiber organization to the planar tensile mechanics of the human supraspinatus tendon by fitting biaxial tensile data with a structural constitutive model that incorporates a sample-specific angular distribution of nonlinear fibers. Regional samples were tested under several biaxial boundary conditions while simultaneously measuring the collagen fiber orientations via polarized light imaging. The histograms of fiber angles were fit with a von Mises probability distribution and input into a hyperelastic constitutive model incorporating the contributions of the uncrimped fibers. Samples with a wide fiber angle distribution produced greater transverse stresses than more highly aligned samples. The structural model fit the longitudinal stresses well (median R2 ≥ 0.96) and was validated by successfully predicting the stress response to a mechanical protocol not used for parameter estimation. The transverse stresses were fit less well with greater errors observed for less aligned samples. Sensitivity analyses and relatively affine fiber kinematics suggest that these errors are not due to inaccuracies in measuring the collagen fiber organization. More likely, additional strain energy terms representing fiber-fiber interactions are necessary to provide a closer approximation of the transverse stresses. Nevertheless, this approach demonstrated that the longitudinal tensile mechanics of the supraspinatus tendon are primarily dependent on the moduli, crimp, and angular distribution of its collagen fibers. These results add to the existing knowledge of structure-function relationships in fibrous musculoskeletal tissue, which is valuable for understanding the etiology of degenerative disease, developing effective tissue engineering design strategies, and predicting outcomes of tissue repair.
机译:棘上肌腱的异质组成和力学性质为研究纤维性肌肉骨骼结缔组织的结构-功能关系提供了机会。先前的单轴测试已经表明,胶原纤维角度分布与肌腱力学特性之间的相关性,即平行于或垂直于肌腱纵轴的拉伸载荷。但是,可通过双轴拉伸测试更恰当地表征棘上肌腱的平面力学,从而避免了单轴测试中存在的无生理无牵引边界条件的限制。结合结构本构模型,双轴测试可以帮助确定筋腱二维力学行为的特定结构机制。因此,本研究的目的是通过将双轴拉伸数据与包含了特定样本非线性纤维角度分布的结构本构模型进行拟合,来评估胶原纤维组织对人棘上肌腱平面拉伸力学的贡献。在几个双轴边界条件下测试区域样本,同时通过偏振光成像同时测量胶原纤维的方向。纤维角度的直方图与冯·米塞斯(von Mises)概率分布拟合,并输入到结合了未卷曲纤维贡献的超弹性本构模型中。纤维角度分布较宽的样品比高度对准的样品产生更大的横向应力。该结构模型很好地拟合了纵向应力(中值R 2 ≥0.96),并通过成功预测对未用于参数估计的机械协议的应力响应进行了验证。横向应力拟合得不太好,对于较少对准的样品观察到较大的误差。敏感性分析和相对亲和的纤维运动学表明,这些错误不是由于胶原纤维组织测量中的不准确所致。代表纤维-纤维相互作用的附加应变能项很有可能是提供横向应力的更近似值所必需的。然而,这种方法证明了棘上肌腱的纵向拉伸力学主要取决于其胶原纤维的模量,卷曲和角分布。这些结果增加了纤维性肌肉骨骼组织中结构-功能关系的现有知识,这对于理解退行性疾病的病因,制定有效的组织工程设计策略以及预测组织修复的结果非常有价值。

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