Acta Mechanica Sinica

, Volume 5, Issue 4, pp 343–352 | Cite as

The near tip fields and temperature distribution around a crack in a body of hardening material containing small damage

  • Yu Shouwen


In this paper, the following conclusions are reached: The influence of damage on the stress and strain feilds can be neglected in an asymptotic sense for the solutions of damage field in a plastic solid containing small damage. The formulation of the problem is simplified with an uncoupled approach. Based on experimental results of plastic damage, most of the damage in the material are considered as small damage with the critacal damage variable ω c ≪1. Using this approach, closed form expressions of the near tip damage fields for mode III, mode I and the temperature distribution induced by plastic dissipation in a hardening material containing damage are deduced. We point out that the temperature distribution in the process zone is strongly dependent on the damage of materials even for the small damage case. The results of the predicted value of the temperature rise near the tip region ignoring the damage effect is appreciably higher than the observed data. The main reason of this discrepancy is the presence of damage dissipation and the fact that its influence on the calculation of plastic dissipation have not been appropriately taken account of. The calculation is improved by taking into account the damage effect on the temperature rise, then theT max value is in better accord with the experimental value.

Key Words

small damage uncoupled procedure near tip field temperature distribution damage effect 


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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1989

Authors and Affiliations

  • Yu Shouwen
    • 1
  1. 1.Tsinghua UniversityBeijing

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