Acta Mechanica

, Volume 223, Issue 7, pp 1485–1506 | Cite as

Transient thermo-mechanical analysis of dynamic curving cracks in functionally graded materials

  • Sachin Gupta
  • Sandeep Abotula
  • Vijaya B. Chalivendra
  • Arun Shukla
  • Ravi Chona
Article
First Online:
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Revised:

Abstract

Mixed-mode dynamic crack growth behavior along an arbitrarily smoothly varying path in functionally graded materials (FGMs) under transient thermo-mechanical loading is studied. An asymptotic analysis in conjunction with displacement potentials is used to develop transient thermo-mechanical stress fields around the propagating crack-tip. Asymptotic temperature field equations are derived for exponentially varying thermal properties, and later, these equations are used to derive transient thermo-mechanical stress fields for a curving crack in FGMs. The effect of the transient parameters (loading rate, crack-tip acceleration, and temperature change) and temperature gradient on the maximum principal stress and circumferential stress associated with the propagating crack-tip is discussed. Finally, using the minimum strain energy density criterion, the effect of temperature gradient, crack-tip speeds, and T-stress on crack growth directions is determined and discussed.

Keywords

Stress Intensity Factor Maximum Principal Stress Circumferential Stress Dynamic Stress Intensity Factor Thermomechanical Loading 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Sachin Gupta
    • 1
  • Sandeep Abotula
    • 1
  • Vijaya B. Chalivendra
    • 2
  • Arun Shukla
    • 1
  • Ravi Chona
    • 3
  1. 1.Dynamic Photo Mechanics Laboratory, Department of Mechanical, Industrial and Systems EngineeringUniversity of Rhode IslandKingstonUSA
  2. 2.Department of Mechanical EngineeringUniversity of Massachusetts DartmouthNorth DartmouthUSA
  3. 3.Structural Sciences Center, Air Vehicles DirectorateUS Air Force Research LaboratoryWright Patterson AFBUSA

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