<p>This paper presents a numerical investigation of stress concentration factors (SCFs) in two-dimensional elastic plates with geometric discontinuities using the Vector Form Intrinsic Finite Element (VFIFE) method. The VFIFE framework, which adopts a particle-based intrinsic formulation, facilitates the direct computation of dynamic structural responses without stiffness matrix assembly. The study considers two types of geometric discontinuities: a plate with a circular hole and an edge-notched plate subjected to uniaxial tension. Stress fields are computed over time to capture the transient development of stress concentration, and the resulting SCFs are evaluated at the final steady state. Comparisons with analytical solutions and conventional finite element method (FEM) results are conducted for both static and dynamic cases to validate the accuracy of VFIFE. The results demonstrate that VFIFE reliably predicts SCFs and captures stress wave propagation effects, making it a promising tool for dynamic stress analysis in discontinuous structures.</p>

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Investigation of Stress-Field Evolution and Stress Concentration in Plates Using the Vector Form Intrinsic Finite Element (VFIFE) Method

  • Nguyen Ngoc Thang,
  • Nguyen Thanh Vinh,
  • Nguyen Van Son,
  • Le Tung Duong

摘要

This paper presents a numerical investigation of stress concentration factors (SCFs) in two-dimensional elastic plates with geometric discontinuities using the Vector Form Intrinsic Finite Element (VFIFE) method. The VFIFE framework, which adopts a particle-based intrinsic formulation, facilitates the direct computation of dynamic structural responses without stiffness matrix assembly. The study considers two types of geometric discontinuities: a plate with a circular hole and an edge-notched plate subjected to uniaxial tension. Stress fields are computed over time to capture the transient development of stress concentration, and the resulting SCFs are evaluated at the final steady state. Comparisons with analytical solutions and conventional finite element method (FEM) results are conducted for both static and dynamic cases to validate the accuracy of VFIFE. The results demonstrate that VFIFE reliably predicts SCFs and captures stress wave propagation effects, making it a promising tool for dynamic stress analysis in discontinuous structures.