论文标题
生物组织软化的多环形建模
Multicyclic modelling of softening in biological tissue
论文作者
论文摘要
在本文中，我们得出了一个模型，以描述与循环软化相关的重要非弹性特征，通常称为软化生物组织的压力。此处开发的模型包括多应力 - 应变周期的概念，最大应变值的增加。该模型利用与充满碳填充橡胶硫化物和软生物组织相关的环状软化之间的相似性。我们给出了非线性横向各向同性模型，用于弹性反应，应力松弛，残留应变和残留应变的蠕变。然后将这些想法与Arruda-Boyce八链模型的横向各向同性版本结合在一起，以开发一种构成关系，该关系能够准确地代表软生物组织的多环形软化。为了确定模型的有效性，我们将其与来自三个环状单轴测试样本的实验数据进行了比较，其中一个取自\ textit {manduca sexta}（烟草horn虫）caterpillar，另外两个样本取自人主动脉，一个从longududinal和另一个方向上的人主动脉。发现该模型非常适合这些实验数据。 {关键字：} mullins效应，应力松弛，残留应变的蠕变，生物组织，横向各向同性。 {MSC代码：} 74B20，74D10，74L15，92C10
In this paper we derive a model to describe the important inelastic features associated with the cyclic softening, often referred to as stress-softening, of soft biological tissue. The model developed here includes the notion of multiple stress-strain cycles with increasing values of the maximum strain. The model draws upon the similarities between the cyclic softening associated with carbon-filled rubber vulcanizates and soft biological tissue. We give non-linear transversely isotropic models for the elastic response, stress relaxation, residual strain and creep of residual strain. These ideas are then combined with a transversely isotropic version of the Arruda-Boyce eight-chain model to develop a constitutive relation that is capable of accurately representing the multicyclic softening of soft biological tissue. To establish the validity of the model we have compared it with experimental data from three cyclic uniaxial test samples, one taken from the \textit{Manduca sexta} (tobacco hornworm) caterpillar and the other two samples taken from the human aorta, one in the longitudinal and the other in the circumferential direction. The model was found to fit these experimental data extremely well. {Keywords:} Mullins effect, stress relaxation, creep of residual strain, biological tissue, transverse isotropy. {MSC codes:} 74B20, 74D10, 74L15, 92C10
