Abstract

The study of characterizing the stress concentration effects at welds is one of the most important research directions for predicting the fatigue life of welded components. Stress solutions at the weld toe obtained from conventional meshfree methods are strongly influenced by parameters used in the methods as a result of stress singularity. In this study, an improved 2D meshfree radial point interpolation method (RPIM) is proposed for stress concentration evaluation of a welded component. The stress solutions are insensitive to parameters used in the improved RPIM. The improved RPIM-based scheme for consistently calculating stress concentration factor (SCF) and stress intensity factor at weld toe are presented. Our studies provide a novel approach to apply global weak-form meshfree methods in consistently computing SCFs and stress intensity factors at welds.

Highlights

  • Welded structures are widely used in engineering

  • The aim of this study is to propose an improved 2D meshfree radial point interpolation method (RPIM) whose stress solutions are insensitive to parameters such as shape parameters, dimension of the influence domain and number of field nodes by introducing the idea of above mesh-insensitive structural stress method

  • The novelty of our studies is to provide an approach to apply global weak-form meshfree method in consistently and effectively calculating stress concentration factor (SCF) and notch stress intensity factors at weld toe

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Summary

Introduction

Welded structures are widely used in engineering. The fatigue life of welded joints is of great concern for a number of years. Based on the mesh-insensitive structural stress method, the stress concentration factor was consistently characterized and notch stress intensity factor at weld toe was effectively calculated [17]. The aim of this study is to propose an improved 2D meshfree radial point interpolation method (RPIM) whose stress solutions are insensitive to parameters such as shape parameters, dimension of the influence domain and number of field nodes by introducing the idea of above mesh-insensitive structural stress method. The numerical example of plate lap fillet welded joint was to validate insensitivity and effectiveness of SCF at weld toe based on improved RPIM.

Formulation of RPIM Shape Functions
Discretization of Two-Dimensional Linear Elasticity Equations
Numerical Integration
Decomposition
Notch Stress Intensity Factors Using Improved RPIM Based Stress Solutions
Cantilever Beam
Method
Sensitivity of Stress Solution to Shape Parameters
SensitivityFigure of Stress
Results show that stress solutions obtainedfrom fromimproved improvedRPIM
Sensitivity of Stress Solution to Number of Field Nodes
A Typical Plate Lap Fillet Weld
T-Butt Welded Joint
Conclusions
Methods
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