TY - JOUR
T1 - Thermal generalized stress intensity factors in 2-D domains
AU - Yosibash, Zohar
N1 - Funding Information:
The reportedw ork has been partially supportedb y the Government of Israel, Ministry of Absorption, Center for Science Absorption, and by the AFOSR under STTR/TS project No. FQ8671-9501469.T he author thanks an anonymous referee for his valuable comments leading to improvementsi n the presentationo f the paper and for pointing out a mistake in an early stage of the manuscript.
PY - 1998/5/11
Y1 - 1998/5/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0032072128&partnerID=8YFLogxK
U2 - 10.1016/S0045-7825(97)00246-6
DO - 10.1016/S0045-7825(97)00246-6
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AN - SCOPUS:0032072128
SN - 0045-7825
VL - 157
SP - 365
EP - 385
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 3-4
ER -