Abstract Crystal plasticity-finite element method (CP-FEM) is now widely used to understand the mechanical response of polycrystalline materials. However, quantitative mesh convergence tests and verification of the necessary size of polycrystalline representative volume elements (RVE) are often overlooked in CP-FEM simulations. Mesh convergence studies in CP-FEM models are more challenging compared to conventional finite element analysis (FEA) as they are not only computationally expensive but also require explicit discretization of individual grains using many finite elements. Resolving each grains within a polycrystalline domain complicates mesh convergence study since mesh convergence is strongly affected by the initial crystal orientations of grains and local loading conditions. In this work, large-scale CP-FEM simulations of single crystals and polycrystals are conducted to study mesh sensitivity in CP-FEM models. Various factors that may affect the mesh convergence in CP-FEM simulations, such as initial textures, hardening models and boundary conditions are investigated. In addition, the total number of grains required to obtain adequate RVE is investigated. This work provides a list of guidelines for mesh convergence and RVE generation in CP-FEM modeling.

中文翻译：

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在晶体塑性有限元模拟中研究网格敏感性和多晶 RVE

摘要 晶体塑性有限元法 (CP-FEM) 现在被广泛用于理解多晶材料的机械响应。然而，在 CP-FEM 模拟中，经常忽略定量网格收敛测试和多晶代表性体积单元 (RVE) 必要尺寸的验证。与传统的有限元分析 (FEA) 相比，CP-FEM 模型中的网格收敛研究更具挑战性，因为它们不仅计算成本高，而且需要使用许多有限元对单个晶粒进行显式离散化。解析多晶域内的每个晶粒使网格收敛研究复杂化，因为网格收敛受晶粒的初始晶体取向和局部载荷条件的强烈影响。在这项工作中，进行了单晶和多晶的大规模 CP-FEM 模拟以研究 CP-FEM 模型中的网格敏感性。研究了可能影响 CP-FEM 模拟中网格收敛的各种因素，例如初始纹理、硬化模型和边界条件。此外，还研究了获得足够 RVE 所需的晶粒总数。这项工作提供了 CP-FEM 建模中网格收敛和 RVE 生成的指南列表。