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Recently, the research group of Professor Jianxiang Wang from the Department of Mechanics and Engineering Science of Peking University and Professor Huang Kuoyu of Southern University of Science and Technology have made important progress in the research of Eshelby's conjecture
In 1957, the British scholar Eshelby solved the elastic field inside an ellipsoidal inclusion subjected to a uniform intrinsic strain field in an isotropic infinite medium, and found that the elastic strain field inside the ellipsoid is also uniform, between the uniform intrinsic strain and the elastic strain It can be related by a fourth-order tensor (now called the Eshelby tensor).
Eshelby guessed in 1961 that the ellipsoid is the only inclusion configuration that transforms a uniform intrinsic strain into a uniform elastic strain
This study uses the Die product of the eigen For the four anisotropic media with orthotropic and monoclinic symmetry, Eshelby's weak conjecture holds; however, there are counterexamples to the corresponding strong conjecture, and sufficient conditions for constructing counterexamples of the non-ellipsoidal configuration are given
Academician Wei Yueguang, an expert in solid mechanics, said: “Eshelby’s conjecture is a very important basic problem in the field of mechanics, and its solution has important theoretical value
The first author of the thesis, Tianyu Yuan, graduated from the Department of Mechanics of Shanghai University in 2015.
