Computation of Mixed Mode Stress Intensity Factors in 3D Functionally Graded Material Using Tetrahedral Finite Element

  • Omar Tabaza
  • Hiroshi OkadaEmail author
  • Yasunori Yusa
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 75)


In this paper, a formulation of interaction integral method for the calculation of Stress Intensity Factor (SIF) for three-dimensional cracks in functionally graded material (FGM) is discussed. The SIF evaluations were carried out using somewhat rough FEM model around the crack front while maintaining the path independent property of the interaction integral. The proposed method was examined on both homogeneous material and FGM, for the accuracies of evaluated SIFs under mode I and mixed mode loadings. The results indicate that the present interaction integral method maintain its path independent property.


Stress intensity factor Interaction integral method Domain integral method Fracture mechanics Finite element method 



A part of present research performed by Hiroshi Okada was supported by JSPS (Japan Society for Promotion of Science) Grand-in Aid for scientific Research (c) No. 16K05988. The support is gratefully acknowledged.


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Mechanical Engineering, Faculty of Science and TechnologyTokyo University of ScienceNoda, ChibaJapan

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