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  • A model four-phase square checkerboard structure 
    Craster R.; Obnosov Y. (2006)
    Two-dimensional multi-phase doubly-periodic composites are considered with the emphasis upon a structure that is a four-phased square checkerboard. The structure of the checkerboard is such that it reduces to an oft-studied ...
  • A three-phase tessellation: Solution and effective properties 
    Craster R.; Obnosov Y. (2004)
    Two-dimensional, doubly periodic, three-phase structures are considered in the situation where mean fluxes are applied across the structure. The approach is to use complex variables, and to use a mapping that reduces the ...
  • Checkerboard composites with separated phases 
    Craster R.; Obnosov Y. (2001)
    Recently the authors have developed a method [SIAM J. Appl. Math. 61, 1839-1556 (2001)] capable of solving, in closed form, boundary value problems for four-phase doubly periodic checkerboard composites with continuity ...

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