Multiscale modeling of the anisotropic elastic-plastic behavior of paper

纸张各向异性弹塑性行为的多尺度建模

• 批准号: 457025480
• 负责人: Professor Dr.-Ing. Jaan-Willem Simon
• 金额: --
• 依托单位: Institute of Bioproducts and Paper Technology
• 依托单位国家: 德国
• 项目类别: Research Grants
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/457025480?language=en
• 关键词: Multiscale; modeling; anisotropic; elastic; plastic

Paper is gaining more and more importance in numerous technically relevant applications, in particular in the packaging industry, because it is a renewable raw material and easily recyclable. Even though paper has been in use for around 2000 years, the material behavior and its modeling are still not sufficiently understood. The challenge in the material modeling of paper is its multiscale nature. The intrinsic microstructure, which consists of a fiber network, has a significant effect on the macroscale material response. To tackle this challenge, a numerical modeling strategy is to be developed in the current project. This strategy aims at an efficient description of the material on the structural scale while simultaneously accounting for the effects of the network scale. Thereby, the influence of single parameters and effects on the macroscopic behavior can be isolated and investigated, which is hardly possible with an experimental setup.The work plan is divided into several work packages. First, representative volume elements (RVE) are generated for the fiber networks. With these, the variation of apparent properties on the macroscale due to statistical distributions of geometrical data such as fiber length and material properties of single fibers can be analyzed. Then, these RVE are implemented into the FE2 framework based on the finite element method. In order to perform the corresponding simulations efficiently with reasonable computational cost, the proper orthogonal decomposition technique is applied to reduce the model dimensions. Finally, the modeling strategy is validated against experimental results from the creasing test.The result of this project is a simulation tool, that is enables the description of the material behavior of paper in an efficient and robust manner while simultaneously accounting for the microscale effects. Moreover, a deeper understanding is generated on how the different effects on the fiber and network level interact, which is impossible with purely experimental investigations.

纸在许多技术相关的应用中越来越重要，特别是在包装行业，因为它是一种可再生的原材料，易于回收。尽管纸已经使用了大约2000年，但材料的行为及其建模仍然没有得到充分的理解。纸的材料建模的挑战在于其多尺度特性。由纤维网络组成的本征微结构对宏观尺度材料响应具有重要影响。为了应对这一挑战，在当前项目中将开发一种数值建模策略。这种策略的目的是在一个有效的描述材料的结构规模，同时考虑到网络规模的影响。因此，可以隔离和研究单个参数和效应对宏观行为的影响，这在实验装置中几乎是不可能的。工作计划分为几个工作包。首先，为纤维网络生成代表性体积元（RVE）。通过这些，可以分析宏观尺度上的表观性质的变化，由于几何数据的统计分布，如纤维长度和单纤维的材料性质。然后，这些RVE实现到FE 2框架的基础上的有限元方法。为了在合理的计算代价下有效地进行相应的模拟，应用适当的正交分解技术来降低模型的维数。最后，通过压痕实验结果验证了该建模策略的有效性。本项目的结果是一个模拟工具，它能够以一种高效和鲁棒的方式描述纸张的材料行为，同时考虑到微观尺度效应。此外，对光纤和网络水平上的不同影响如何相互作用产生了更深入的理解，这是纯实验研究所无法实现的。