A concentrated couple near two non-elliptical inclusions with internal uniform hydrostatic stresses

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

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2018, 69(1): 5.

DOI：10.1007/s00033-017-0899-0

• Two non-elliptical inclusions
• Concentrated couple
• Uniform hydrostatic stresses
• Conformal mapping

We employ conformal mapping techniques to study the existence of internal uniform hydrostatic stresses inside two non-elliptical inclusions when the surrounding matrix is simultaneously subjected to a concentrated couple and remote uniform in-plane stresses. The unknown complex coefficients appearing in the corresponding mapping function can be determined analytically for a given pair of loading, one material and three geometric parameters. This allows us to subsequently identify the shapes of the two inclusions. Our analysis further reveals that the shapes of the inclusions depend on the concentrated couple, whereas the corresponding internal uniform hydrostatic stresses do not.

• 出版日期2018-2
• 单位华东理工大学