Journal of Mathematical Sciences

, Volume 212, Issue 2, pp 121–130 | Cite as

Mathematical Models for Estimating the Residual Life of Plates with Systems of Cracks Under the Action of Long-Term Static Loads, High Temperatures, and Hydrogen

  • O. E. Andreikiv
  • N. V. Yavors’ka
  • V. Z. Kukhar

We formulate computational models used to determine the durability of plates with systems of cracks under the action of long-term static loads, high temperatures, and hydrogen-containing environments. These models are based on the first law of thermodynamics, i.e., on the balance of energy components and rates of their changes in metallic materials containing macrocracks and subjected to long-term tension, high-temperature field, and hydrogen-containing environments. We also consider specific cases of periodic and doubly periodic systems of cracks.


Stress Intensity Factor Process Zone Periodic System Residual Life Creep Crack Growth 
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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • O. E. Andreikiv
    • 1
    • 2
  • N. V. Yavors’ka
    • 2
  • V. Z. Kukhar
    • 2
  1. 1.Karpenko Physicomechanical InstituteUkrainian National Academy of SciencesLvivUkraine
  2. 2.Franko Lviv National UniversityLvivUkraine

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