Fracture parameter investigations of functionally graded materials by using ordinary state based peridynamics

Hanlin Wang, Satoyuki Tanaka, Selda Oterkus, Erkan Oterkus

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Static and dynamic fracture parameter analyses of functionally graded materials (FGMs) are conducted by using the ordinary state based peridynamic theory (OSPD). As a meshfree method, OSPD applies an integral equation to describe the motion of objects, avoiding the geometrical singularity in conventional fracture analysis measures. Domain integral method by introducing material gradient terms is employed in evaluating the static and dynamic stress intensity factors (SIFs). Meanwhile, peridynamic di↵erential operator (PDDO) is also applied for the calculation of physical components derivatives. Di↵erent FGM modeling schemes are also examined in the OSPD framework. Cracked FGM structures with mode-I and mixed-mode crack scenarios are under investigation and results are validated by reference solutions. Accuracy and reliability of the proposed method will be examined and discussed.
Original languageEnglish
Pages (from-to)1-35
Number of pages35
JournalEngineering Analysis with Boundary Elements
Publication statusAccepted/In press - 4 Mar 2022


  • ordinary state based peridynamics
  • peridynamic differential operator
  • interaction integral
  • fracture analysis
  • stress intensity factor

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