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Current work discusses modelling and simulating of crack problems under mechanical loads with enhanced element-free Galerkin method. Approximation of values in EFGM is only dependent on the distribution of nodal data. So, a MATLAB algorithm has been developed so that region susceptible to stress singularities are given rich nodal distribution in comparison to remaining domain in a well-defined way. Proposed algorithm has been embedded to traditional EFGM algorithm for simulation of fracture problems. Effective comparison for stresses has been made using proposed algorithm and traditional EFGM for similar capacity of nodes. Results show that proposed algorithm produced more clear and accurate stress fields than traditional EFGM. Also Proposed algorithms show average relative deviation of 3.91% with the results accumulated from traditional EFGM procedure. So proposed EFG algorithm can be successfully used for enhanced fracture simulations.

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Enhanced Nodal Variation Approach for Fracture Analysis Using Meshless Methods

  • 章节

  • 发表日期：

    2025年

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  • Ayush Awasthi,
  • Mohit Pant

摘要

Current work discusses modelling and simulating of crack problems under mechanical loads with enhanced element-free Galerkin method. Approximation of values in EFGM is only dependent on the distribution of nodal data. So, a MATLAB algorithm has been developed so that region susceptible to stress singularities are given rich nodal distribution in comparison to remaining domain in a well-defined way. Proposed algorithm has been embedded to traditional EFGM algorithm for simulation of fracture problems. Effective comparison for stresses has been made using proposed algorithm and traditional EFGM for similar capacity of nodes. Results show that proposed algorithm produced more clear and accurate stress fields than traditional EFGM. Also Proposed algorithms show average relative deviation of 3.91% with the results accumulated from traditional EFGM procedure. So proposed EFG algorithm can be successfully used for enhanced fracture simulations.