论文标题
预应力的粘弹性纤维增强复合材料的几何非线性建模，并应用于动脉
Geometrically nonlinear modelling of pre-stressed viscoelastic fibre-reinforced composites with application to arteries
论文作者
论文摘要
在几何确切的环境中考虑了预压力增强复合材料的机械行为的建模。采用包括两种不同参考配置的一般方法：一种配置对应于结构的无负载状态，另一种对应于每个材料粒子的无应力状态。该方法的适用性是通过粘弹性材料模型来证明的。矩阵和纤维均使用变形梯度张量的乘法拆分进行建模。针对初始条件的转换规则已详细说明并指定。除了简单性外，该方法的重要优点是，良好的数值算法可用于预压力的非弹性结构。阐明了主张方法与广泛使用的“开头”方法之间的相互关系。全面的FEM模拟证实了“开头”方法的主要预测。发现锁定效果；效果是，在某些情况下，复合材料的开头基本上小于其各个层的开头角度。因此，通常用于分析预压力的标准切割测试没有足够的信息，并且需要更精致的实验技术。
Modelling of mechanical behaviour of pre-stressed fibre-reinforced composites is considered in a geometrically exact setting. A general approach which includes two different reference configurations is employed: one configuration corresponds to the load-free state of the structure and another one to the stress-free state of each material particle. The applicability of the approach is demonstrated in terms of a viscoelastic material model; both the matrix and the fibre are modelled using a multiplicative split of the deformation gradient tensor; a transformation rule for initial conditions is elaborated and specified. Apart from its simplicity, an important advantage of the approach is that well-established numerical algorithms can be used for pre-stressed inelastic structures. The interrelation between the advocated approach and the widely used "opening angle" approach is clarified. A full-scale FEM simulation confirms the main predictions of the "opening angle" approach. A locking effect is discovered; the effect is that in some cases the opening angle of the composite is essentially smaller than the opening angles of its individual layers. Thus, the standard cutting test typically used to analyse pre-stresses does not carry enough information and more refined experimental techniques are needed.
