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Title: Mathematical Modeling of Fracture Processes in Plates with Systems of Cracks Under the Action of Long-Term Loads, High Temperatures, and Corrosive Media

Abstract

We formulate mathematical models for the evaluation of the lifetime of plates with systems of cracks under the action of long-term force loads in the presence of high temperatures and corrosive media. These models are based on the use of the well-known main mechanisms of propagation of creep cracks, corrosion fracture, and the first law of thermodynamics (balance of energy components and rates of their changes) for a metal plate containing a system of macrocracks and subjected to the action of long-term tension and corrosive media at high temperatures. We consider the case of a double-periodic system of cracks.

Authors:
 [1];  [2];  [1];  [3]
  1. Franko L’viv National University (Ukraine)
  2. Ukrainian National Academy of Sciences, Karpenko Physicomechanical Institute (Ukraine)
  3. Hzhyts’kyi L’viv National University of Veterinary Medicine and Biotechnologies (Ukraine)
Publication Date:
OSTI Identifier:
22773571
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 236; Journal Issue: 2; Other Information: Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; CORROSION; CRACK PROPAGATION; CRACKS; CREEP; FRACTURES; MATHEMATICAL MODELS; METALS; PLATES; SERVICE LIFE; STATIC LOADS; TEMPERATURE RANGE 0400-1000 K; THERMODYNAMICS

Citation Formats

Andreikiv, O. Ye., Dolins’ka, I. Ya., Lysyk, A. R., and Sas, N. B. Mathematical Modeling of Fracture Processes in Plates with Systems of Cracks Under the Action of Long-Term Loads, High Temperatures, and Corrosive Media. United States: N. p., 2019. Web. doi:10.1007/S10958-018-4107-3.
Andreikiv, O. Ye., Dolins’ka, I. Ya., Lysyk, A. R., & Sas, N. B. Mathematical Modeling of Fracture Processes in Plates with Systems of Cracks Under the Action of Long-Term Loads, High Temperatures, and Corrosive Media. United States. doi:10.1007/S10958-018-4107-3.
Andreikiv, O. Ye., Dolins’ka, I. Ya., Lysyk, A. R., and Sas, N. B. Tue . "Mathematical Modeling of Fracture Processes in Plates with Systems of Cracks Under the Action of Long-Term Loads, High Temperatures, and Corrosive Media". United States. doi:10.1007/S10958-018-4107-3.
@article{osti_22773571,
title = {Mathematical Modeling of Fracture Processes in Plates with Systems of Cracks Under the Action of Long-Term Loads, High Temperatures, and Corrosive Media},
author = {Andreikiv, O. Ye. and Dolins’ka, I. Ya. and Lysyk, A. R. and Sas, N. B.},
abstractNote = {We formulate mathematical models for the evaluation of the lifetime of plates with systems of cracks under the action of long-term force loads in the presence of high temperatures and corrosive media. These models are based on the use of the well-known main mechanisms of propagation of creep cracks, corrosion fracture, and the first law of thermodynamics (balance of energy components and rates of their changes) for a metal plate containing a system of macrocracks and subjected to the action of long-term tension and corrosive media at high temperatures. We consider the case of a double-periodic system of cracks.},
doi = {10.1007/S10958-018-4107-3},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 236,
place = {United States},
year = {2019},
month = {1}
}