Effect of Temperature and Crack Tip Velocity on the Crack Growth in Functionally Graded Materials

  • Addis KidaneEmail author
  • Vijaya B. Chalivendra
  • Arun Shukla
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)


The stress-fields near the crack tip for mixed-mode thermo-mechanical loading in functionally graded material (FGM) are developed using displacement potentials in conjugation with an asymptotic approach. The shear modulus, mass density and coefficient of thermal expansion of the FGM are assumed to vary exponentially along the gradation direction. Using insulated crack face boundary condition and steady state heat conduction assumption, the temperature field near to the crack tip is developed. By incorporating the developed temperature field equations with the displacement potentials, asymptotic thermo-mechanical stress field equations are derived. Finally, utilizing the minimum strain energy density criterion and the maximum circumferential stress criterion, the crack growth direction for various crack-tip speeds, non-homogeneity coefficients and temperature fields are determined.


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Addis Kidane
    • 1
    Email author
  • Vijaya B. Chalivendra
    • 2
  • Arun Shukla
    • 3
  1. 1.Graduate Aeronautical LaboratoryCalifornia Institute of TechnologyPasadenaUSA
  2. 2.Department of Mechanical EngineeringUniversity of Massachusetts DartmouthNorth DartmouthUSA
  3. 3.Dynamic Photomechanics Laboratory, Department of Mechanical Engineering & Applied MechanicsThe University of Rhode IslandKingstonUSA

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