This work analyses the stochastic response of fibre and matrix scale stresses of Variable Angle Tow (VAT) laminates affected by multiscale uncertainty defects. The aim is to evaluate the influence of the innermost constituents on the overall structural response via an accurate mechanical characterization of both macro- and microscales. The Carrera Unified Formulation (CUF) is employed to obtain two-dimensional (2D) and one-dimensional (1D) models for both scales. Indeed, 2D layer-wise (LW) and 1D component-wise (CW) approaches are adopted for the macroscale and the microscale, respectively. The use of 2D and 1D models proves to be convenient as a superior computational efficiency is reached, this aspect being of great importance as many analyses are necessary for uncertainty quantification. The numerical results demonstrate the validity of the proposed methodology to obtain an accurate description of the 3D stress state at the different scales. A special focus is made on the fibre-scale stresses and how they may vary when affected by multiscale uncertainty.

这项工作分析了受多尺度不确定性缺陷影响的可变角度丝束 (VAT) 层压板的纤维和基体尺度应力的随机响应。目的是通过宏观和微观尺度的准确机械表征来评估最内部成分对整体结构响应的影响。Carrera 统一公式 (CUF) 用于获取两个尺度的二维 (2D) 和一维 (1D) 模型。实际上，宏观尺度和微观尺度分别采用二维逐层 (LW) 和一维逐分量 (CW) 方法。使用 2D 和 1D 模型被证明是方便的，因为达到了卓越的计算效率，这方面非常重要，因为不确定性量化需要许多分析。数值结果证明了所提出方法的有效性，以获得不同尺度下 3D 应力状态的准确描述。特别关注纤维尺度应力以及它们在受多尺度不确定性影响时如何变化。