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首页> 外文期刊>Journal of Biomechanics >A finite viscoelastic-plastic model for describing the uniaxial ratchetting of soft biological tissues
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A finite viscoelastic-plastic model for describing the uniaxial ratchetting of soft biological tissues

机译：用于描述生物软组织单轴棘突的有限粘弹塑性模型

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摘要

In this paper, a phenomenological constitutive model is constructed to describe the uniaxial ratchetting (i.e., the cyclic accumulation of inelastic deformation) of soft biological tissues in the framework of finite viscoelastic-plasticity. The model is derived from a polyconvex elastic free energy function and addresses the anisotropy of cyclic deformation of the tissues by means of structural tensors. Ratchetting is considered by the evolution of internal variables, and its time-dependence is described by introducing a pseudo-potential function. Accordingly, all the evolution equations are formulated from the dissipation inequality. In numerical examples, the uniaxial monotonic stress-strain responses and ratchetting of some soft biological tissues, such as porcine skin, coronary artery layers and human knee ligaments and tendons, are predicted by the proposed model in the range of finite deformation. It is seen that the predicted monotonic stress-strain responses and uniaxial ratchetting obtained at various loading rates and in various loading directions are in good agreement with the corresponding experimental results.
机译：本文建立了一种现象学本构模型，以描述软生物组织在有限粘弹塑性框架内的单轴棘轮破坏（即非弹性变形的循环积累）。该模型源自多凸弹性自由能函数，并通过结构张量解决了组织循环变形的各向异性。通过内部变量的演变来考虑棘手行为，并通过引入伪势函数来描述其时间依赖性。因此，所有的演化方程都是根据耗散不等式制定的。在数值示例中，所提出的模型在有限变形范围内预测了一些软生物组织（如猪皮肤，冠状动脉层以及人的膝盖韧带和肌腱）的单轴单调应力应变响应和咬合。可以看出，在不同的加载速率和不同的加载方向上获得的预测的单调应力应变响应和单轴棘轮运动与相应的实验结果非常吻合。

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