Computation of Thermal Fracture Parameters for Inclined Cracks in Functionally Graded Materials Using Jk-Integral

DAĞ S., YILDIRIM B.

JOURNAL OF THERMAL STRESSES, cilt.32, sa.5, ss.530-556, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 5
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1080/01495730802637480
  • Dergi Adı: JOURNAL OF THERMAL STRESSES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.530-556
  • Anahtar Kelimeler: Finite element method, Functionally graded materials (FGMs), Inclined crack, Jk-integral, Thermal stresses, FGM COATINGS, BEHAVIOR, STRESSES
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

This article describes the formulation and implementation of the Jk-integral for the analysis of inclined cracks located in functionally graded materials (FGMs) that are subjected to thermal stresses. The generalized definition of the Jk-integral over a vanishingly small curve at the tip of an inclined crack is converted to a domain independent form that consists of area and line integrals defined over finite domains. A numerical procedure based on the finite element method is then developed, which allows the evaluation of the components of the Jk-integral, the modes I and II stress intensity factors and the T-stresses at the crack tips. The developed procedure is validated and the domain independence is demonstrated by providing comparisons to the results obtained by means of the displacement correlation technique (DCT). Detailed parametric analyses are conducted by considering an inclined crack in an FGM layer that is subjected to steady-state thermal stresses. Numerical results show the influences of the thermal conductivity and thermal expansion coefficient variation profiles and the crack inclination angle on the mixed-mode fracture parameters.