Scholarlink

<p>Over the past three decades, various enhancements to the classical finite element method (FEM) utilizing the partition of unity (PU) method have been proposed to improve its effectiveness. Among the many types of PU-based FEM that have been proposed, this paper will focus on a four-node quadrilateral element method, referred to as the Q4-CNS element, which employs a set of continuous nodal gradient shape functions as the partition of unity. Additionally, it uses a set of constrained and orthonormalized least-squares approximations for the local approximation spaces. In this paper, the Q4-CNS element is developed for the analysis of thin and thick plates based on the Reissner–Mindlin plate theory. To alleviate the shear-locking phenomenon, the discrete shear gap (DSG) technique is implemented. Several plate-bending benchmark problems are utilized to assess the accuracy and convergence behavior of the method. The numerical results show that the Q4-CNS element with the DSG technique effectively avoids shear locking within a practical range of plate thicknesses. It exhibits good convergence behavior, provides continuous moment contours, and shows more robustness against distorted meshes compared to conventional Q4 plate bending elements.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A partition of unity-based Q4-CNS element with the discrete shear gap technique for analysis of Reissner–Mindlin plates

  • 期刊论文

  • 发表日期：

    2026年3月25日

查看全文
  • Foek Tjong Wong,
  • Richo M. Soetanto

摘要

Over the past three decades, various enhancements to the classical finite element method (FEM) utilizing the partition of unity (PU) method have been proposed to improve its effectiveness. Among the many types of PU-based FEM that have been proposed, this paper will focus on a four-node quadrilateral element method, referred to as the Q4-CNS element, which employs a set of continuous nodal gradient shape functions as the partition of unity. Additionally, it uses a set of constrained and orthonormalized least-squares approximations for the local approximation spaces. In this paper, the Q4-CNS element is developed for the analysis of thin and thick plates based on the Reissner–Mindlin plate theory. To alleviate the shear-locking phenomenon, the discrete shear gap (DSG) technique is implemented. Several plate-bending benchmark problems are utilized to assess the accuracy and convergence behavior of the method. The numerical results show that the Q4-CNS element with the DSG technique effectively avoids shear locking within a practical range of plate thicknesses. It exhibits good convergence behavior, provides continuous moment contours, and shows more robustness against distorted meshes compared to conventional Q4 plate bending elements.