Inclusion of arbitrary polygon with graded eigenstrain in an anisotropic piezoelectric full plane

L. G. Sun, K. Y. Xu*, E. Pan

*此作品的通信作者

研究成果: Article同行評審

15 引文 斯高帕斯(Scopus)

摘要

In this paper, an exact closed-form solution for the Eshelby problem of a polygonal inclusion with a graded eigenstrain in an anisotropic piezoelectric full plane is presented. For this electromechanical coupling problem, by virtue of Green's function solutions, the induced elastic and piezoelectric fields are first expressed in terms of line integrals on the boundary of the inclusion. Using the line-source Green's function, the line integral is then carried out analytically for the linear eigenstrain case, with the final expression involving only elementary functions. Finally, the solution is applied to the semiconductor quantum wire (QWR) of square, triangle, circle and ellipse shapes within the GaAs (0 0 1) substrate. It is demonstrated that there exists significant difference between the induced field by the uniform eigenstrain and that by the linear eigenstrain. Since the misfit eigenstrain in most QWR structures is actually non-uniform, the present solution should be particularly appealing to nanoscale QWR structure analysis where strain and electric fields are coupled and are affected by the non-uniform misfit strain.

原文English
頁(從 - 到)1773-1785
頁數13
期刊International Journal of Solids and Structures
49
發行號13
DOIs
出版狀態Published - 15 6月 2012

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