Localization of a static process in bodies with defect coatings
Abstract
It was shown earlier that processes described by dynamic as well as static mixed boundary value problems can manifest localization. In this case, some new, earlier unstudied phenomena can be discovered. The block element method is a convenient tool for studying process localization phenomena, because the statement of the localization conditions is based on the integral factorization method containing the algorithm for constructing block elements. An example of a mixed boundary value problem for a stress—strain process for coatings with defects is used below to show that the localization is possible in the case of a static process.
- Publication:
-
Mechanics of Solids
- Pub Date:
- July 2015
- DOI:
- 10.3103/S0025654415040093
- Bibcode:
- 2015MeSol..50..432B
- Keywords:
-
- mixed boundary value problem;
- localization;
- factorization of matrix functions;
- topology;
- exterior forms;
- integral equtaions