ANALYSIS OF STRESS INTENSITY FACTOR BASED ON GENERALIZED MIXED ENRICHED ELEMENT METHOD

GUO Shuai; QING GuangHui; HE YuXuan

doi:10.16579/j.issn.1001.9669.2024.01.026

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ANALYSIS OF STRESS INTENSITY FACTOR BASED ON GENERALIZED MIXED ENRICHED ELEMENT METHOD

更新时间：2024-04-18

- ANALYSIS OF STRESS INTENSITY FACTOR BASED ON GENERALIZED MIXED ENRICHED ELEMENT METHOD
- Journal of Mechanical Strength Vol. 46, Issue 1, Pages: 202-207(2024)
- 作者机构：
  
  1. 中国民航大学航空工程学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2024.01.026
  CLC： O343.1
- Published：15 February 2024，
- 稿件说明：
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GUO Shuai, QING GuangHui, HE YuXuan. ANALYSIS OF STRESS INTENSITY FACTOR BASED ON GENERALIZED MIXED ENRICHED ELEMENT METHOD. [J]. Journal of Mechanical Strength 46(1):202-207(2024)
DOI：

GUO Shuai, QING GuangHui, HE YuXuan. ANALYSIS OF STRESS INTENSITY FACTOR BASED ON GENERALIZED MIXED ENRICHED ELEMENT METHOD. [J]. Journal of Mechanical Strength 46(1):202-207(2024) DOI： 10.16579/j.issn.1001.9669.2024.01.026.

摘要

以位移元模型为基础求解裂纹尖端应力强度因子（Stress Intensity Factor，SIF）的方法众多，但是，当模型网格较稀疏时，位移元模型的刚度偏大；另外，位移元模型不方便直接引入应力边界条件，边界应力结果有失客观性。基于富集元思想，结合广义H-R变分原理提出了广义混合富集元列式。基于该列式的有限元模型，一方面消除了经典混合富集元法结果的震荡问题，另一方面兼顾了裂纹尖端应力参量的奇异性和应力边界条件引入的方便性。实例分析表明，利用该方法求解应力强度因子，数值结果稳定可靠且精度较高。

Abstract

The stress intensity factor (SIF) have been studied by many methods based on the displacement element model. However

under sparse meshes

the displacement element models will suffer from excessive stiffness

and are difficult to introduce the stress boundary conditions directly which lacking in objectivity. The generalized mixed enriched element method is proposed based on the principle of enriched element and generalized H-R variational principle. This method takes the crack tipstress singularity into account

considers the introducing of stress boundary conditions

and overcomes the oscillation of the classical mixed enriched element method. Numerical examples show that the stress intensity factor obtined by this method is stable and reliable with a high degree of accuracy.

关键词

奇异性应力强度因子广义混合富集元应力边界条件

Keywords

SingularityStress intensity factorGeneralized mixed enriched elementStress boundary condition

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