The European Physical Journal Special Topics

, Volume 222, Issue 7, pp 1587–1595 | Cite as

Crack propagation in functionally graded strip under thermal shock

  • I.V. IvanovEmail author
  • T. SadowskiEmail author
  • D. Pietras
Regular Article


The thermal shock problem in a strip made of functionally graded composite with an interpenetrating network micro-structure of Al2O3 and Al is analysed numerically. The material considered here could be used in brake disks or cylinder liners. In both applications it is subjected to thermal shock. The description of the position-dependent properties of the considered functionally graded material are based on experimental data. Continuous functions were constructed for the Young’s modulus, thermal expansion coefficient, thermal conductivity and thermal diffusivity and implemented as user-defined material properties in user-defined subroutines of the commercial finite element software ABAQUS™. The thermal stress and the residual stress of the manufacturing process distributions inside the strip are considered. The solution of the transient heat conduction problem for thermal shock is used for crack propagation simulation using the XFEM method. The crack length developed during the thermal shock is the criterion for crack resistance of the different graduation profiles as a step towards optimization of the composition gradient with respect to thermal shock sensitivity.


Residual Stress Thermal Shock European Physical Journal Special Topic Energy Harvest Functionally Grade Material 
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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© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.University of Ruse, Department of Engineering MechanicsRuseBulgaria
  2. 2.Lublin University of Technology, Faculty of Civil Engineering and Architecture, Department of Solid MechanicsLublinPoland

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