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.

中文翻译：

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应用于动脉的预应力粘弹性纤维增强复合材料的几何非线性建模

在几何精确设置中考虑对预应力纤维增强复合材料的机械行为进行建模。采用包括两种不同参考配置的通用方法：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。该方法的适用性在粘弹性材料模型方面得到证明；矩阵和纤维都使用变形梯度张量的乘法分裂建模；详细阐述并指定了初始条件的转换规则。除了简单之外，该方法的一个重要优点是成熟的数值算法可用于预应力非弹性结构。阐明了所提倡的方法与广泛使用的“开角”方法之间的相互关系。全尺寸 FEM 模拟证实了“张角”方法的主要预测。发现锁定效应；结果是，在某些情况下，复合材料的张角基本上小于其各个层的张角。因此，通常用于分析预应力的标准切割测试没有提供足够的信息，需要更精细的实验技术。结果是，在某些情况下，复合材料的张角基本上小于其各个层的张角。因此，通常用于分析预应力的标准切割测试没有提供足够的信息，需要更精细的实验技术。结果是，在某些情况下，复合材料的张角基本上小于其各个层的张角。因此，通常用于分析预应力的标准切割测试没有提供足够的信息，需要更精细的实验技术。