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Thermal fracture analysis in orthotropic materials by XFEM
Theoretical and Applied Fracture Mechanics ( IF 5.3 ) Pub Date : 2020-11-01 , DOI: 10.1016/j.tafmec.2020.102843
Seyed Hadi Bayat , Mohammad Bagher Nazari

Abstract This paper discusses the thermal fracture analysis of anisotropic materials under thermal shock based on the classic theory of thermoelasticity in the framework of the Extended Finite Element Method (XFEM). A new set of tip enrichment functions for the temperature field in anisotropic materials is proposed. To this end, an analytical solution for the temperature distribution around an insulated crack in an anisotropic medium under uniform heat flux is extracted using the complex variable method. The tip enrichment functions are extracted using the near tip temperature distribution. Generally, the tip enrichment functions of temperature are similar to displacement ones, except that they are dependent on thermal properties. The Stress Intensity Factors (SIFs) are computed using the interaction integral method. The effect of the direction of material properties on the time variation of the temperature distribution in a cracked medium and SIFs is studied. Also, the crack propagation in an orthotropic material under thermal shock is investigated.

中文翻译:

XFEM 分析正交各向异性材料的热断裂

摘要 本文基于热弹性经典理论,在扩展有限元法(XFEM)的框架内讨论了热冲击下各向异性材料的热断裂分析。针对各向异性材料中的温度场提出了一组新的尖端富集函数。为此,使用复变量法提取了均匀热通量下各向异性介质中绝缘裂纹周围温度分布的解析解。使用近尖端温度分布提取尖端富集函数。一般来说,温度的尖端富集函数与位移函数相似,只是它们依赖于热特性。应力强度因子 (SIF) 是使用相互作用积分法计算的。研究了材料特性方向对裂化介质和 SIF 中温度分布随时间变化的影响。此外,研究了热冲击下正交各向异性材料中的裂纹扩展。
更新日期:2020-11-01
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