کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610357 | 1338558 | 2014 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Determination of the insulated inclusion in conductivity problem and related Eshelby conjecture
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Determination of the insulated inclusion in conductivity problem and related Eshelby conjecture Determination of the insulated inclusion in conductivity problem and related Eshelby conjecture](/preview/png/4610357.png)
چکیده انگلیسی
In the study of composites, it is important to determine the shape of inclusions. There is an interesting case in conductivity problem that the inclusion is insulated. In present paper, we first obtain the representation formula of the solution to an exterior problem, and then prove that for any uniform loading such solution can be extended into the inclusion as an affine function if and only if the insulated inclusion is an ellipse or an ellipsoid. We also show that an analogous result holds for the elasticity problem, which is related to Eshelby conjecture. The main results in this paper are motivated by Ammari, Kang, Kim and Lee (2013), Ammari, Kang and Lim (2005), Kang and Milton (2008), and Liu (2008).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 257, Issue 12, 15 December 2014, Pages 4503–4524
Journal: Journal of Differential Equations - Volume 257, Issue 12, 15 December 2014, Pages 4503–4524
نویسندگان
Bo Wang, Haigang Li, Jiguang Bao,