ELLIPTIC INCLUSIONS WITH LINEAR EIGEN STRAINS | Zendy

Hongtu Zhang | Zendy; ZHAO XIAO-PENG | Zendy

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ELLIPTIC INCLUSIONS WITH LINEAR EIGEN STRAINS

Author(s) -

Hongtu Zhang,

ZHAO XIAO-PENG

Publication year - 1983

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.32.582

Subject(s) - inclusion (mineral) , constraint (computer aided design) , position (finance) , mathematical analysis , bending , eigenvalues and eigenvectors , materials science , mathematics , physics , geometry , composite material , thermodynamics , finance , economics , quantum mechanics

If the eigen strains εij* of an elliptic inclusion are linear functions of position, the constraint strains εijc in the inclusion will also be linear functions of position. In this paper, all the constraint coefficients of first order are given. For the case β《1, the analytical expressions of stress fields outside the inclusion are found. The results can be used directly to practical problems, such as that of the behavior of a crack under bending stresses and the interaction between a plate-form inclusion and a micro-crack.

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