Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
CHECKERBOARD COMPOSITES WITH SEPARATED PHASES
Form of presentationArticles in international journals and collections
Year of publication2001
Языкрусский
  • Obnosov Yuriy Viktorovich, author
  • Craster Richard , author
  • Bibliographic description in the original language Craster R.V., Obnosov Yu.V. Checkerboard composites with separated phases. Journal of Mathematical Physics, 2001, 42, No 11, 5379-5388. DOI: 10.1063/1.1398336
    Annotation Recently the authors have developed a method\cite{craster00b} capable of solving, in closed-form, boundary value problems for four-phase doubly periodic checkerboard composites with continuity between the different phases. The method is based upon a novel conformal mapping that preserves the doubly periodic nature of the physical problem. The aim of the current paper is to explore generalizations of that approach where we now replace continuity between some phases by non-conducting or perfectly conducting strips, thereby modelling debonding or electrodes in electrochemical devices. The specific objective is to determine effective resistivities and related parameters for these four-phase objects in a concise and explicit form.
    Keywords Composite materials, complex analysis, effective parameters
    The name of the journal Journal of Materials Research
    URL http://DOI: 10.1063/1.1398336
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=137467&p_lang=2
    Resource files 
    File name Size (MB) Format  
    JMPh2001.pdf 0,03 pdf show / download

    Full metadata record