## Abstract

A finite element formulation for the thermal shock fracture analysis of brittle thermal systems is presented. Thermal stress distribution in a brittle system is evaluated by a finite element analysis. Flaws with uniform size and in the form of Griffith microcracks are assumed to be distributed uniformly with a certain density per unit volume in the composed materials. The criteria for determining crack instability of the cracks in the material under nonuniform normal stress are established by computing the equivalent normal tensile stress. When the equivalent normal tensile stress reaches the critical value, which is derived from fracture-mechanical theory for solids under uniform tensile stress, the cracks in the material become unstable. A technique is introduced to find the equivalent normal stresses in the system which is under arbitrary thermal stresses. The system fails when any crack in the composed material becomes unstable. The critical temperature difference for the failure of the system is determined by utilizing the proposed finite element analysis and thermal shock fracture analysis. A numerical example is given to demonstrate the application of the proposed method.

Original language | English |
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Pages | 7-11 |

Number of pages | 5 |

State | Published - 1 Dec 1988 |

Event | Computers in Engineering 1988 - Proceedings - San Francisco, CA, USA Duration: 31 Jul 1988 → 4 Aug 1988 |

### Conference

Conference | Computers in Engineering 1988 - Proceedings |
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City | San Francisco, CA, USA |

Period | 31/07/88 → 4/08/88 |