Thermal generalized stress intensity factors in 2-D domains

Zohar Yosibash*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


Computation of thermal generalized stress intensity factors (TGSIFs) in linear thermo-elastic two-dimensional problems with singular points subjected to steady-state temperature distribution is addressed. The stress tensor in the vicinity of singular points exhibits singular behavior characterized by the strength of the singularity and the associated TGSIFs. The p-version of the finite element method is first used to compute the temperature field, usually exhibiting singular behavior of the fluxes in the vicinity of the singular point, then imposed in the elastic analysis as thermal loading, exciting the TGSIFs. A post-processing technique based on the complementary weak form in conjunction with Richardson extrapolation is applied to extract the TGSIFs. Importantly, the proposed method is applicable, not only to singularities associated with crack tips, but also to multi-material interfaces and non-homogeneous materials. Numerical results of crack-tip singularities (mode I, mode II and mixed modes) and singular points associated with a two-material inclusion and a 90° dissimilar materials wedge, are presented.

Original languageEnglish
Pages (from-to)365-385
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Issue number3-4
StatePublished - 11 May 1998
Externally publishedYes


FundersFunder number
Center for Science Absorption
Government of Israel, Ministry of Absorption
Air Force Office of Scientific Research


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