A concentrated couple inside or outside a circular inclusion in finite plane elastostatics

作者：Wang, Xu^*; Chen, Liang; Schiavone, Peter^*

来源：International Journal of Non-Linear Mechanics, 2018, 100: 6-9.

DOI：10.1016/j.ijnonlinmec.2018.01.003

• Hyperelastic material
• Concentrated couple
• Circular inclusion
• Closed-form solution
• Analytic continuation

We consider a circular elastic inclusion embedded in an infinite matrix each from a particular class of compressible hyperelastic materials of harmonic type. A concentrated couple is applied either inside the circular inclusion or in the matrix. Closed-form solutions of the corresponding boundary value problems are obtained using complex variable methods, in particular the principle of analytic continuation. Our analysis reveals several interesting conclusions including: the sum sigma(11) + sigma(22) of the normal stresses inside the inclusion remains constant when the concentrated couple is located in the surrounding matrix; the sum of the normal stresses is zero everywhere in the matrix when the concentrated couple is located inside the inclusion.

• 出版日期2018-4
• 单位华东理工大学