Wang Xu, Schiavone Peter
School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, People's Republic of China.
Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta T6G 1H9, Canada.
Proc Math Phys Eng Sci. 2020 Sep;476(2241):20200095. doi: 10.1098/rspa.2020.0095. Epub 2020 Sep 9.
Using conformal mapping techniques, we design novel lamellar structures which cloak the influence of any one of a screw dislocation dipole, a circular Eshelby inclusion or a concentrated couple. The lamellar structure is composed of two half-planes bonded through a middle coating with a variable thickness within which is located either the dislocation dipole, the circular Eshelby inclusion or the concentrated couple. The Eshelby inclusion undergoes either uniform anti-plane eigenstrains or uniform in-plane volumetric eigenstrains. As a result, the influence of any one of the dislocation dipole, the circular Eshelby inclusion or the concentrated couple is cloaked in that their presence will not disturb the prescribed uniform stress fields in both surrounding half-planes.
利用共形映射技术，我们设计了新颖的层状结构，该结构能够掩盖螺型位错偶极子、圆形埃舍尔比夹杂或集中力偶中任何一个的影响。层状结构由两个半平面组成，它们通过中间具有可变厚度的涂层粘结在一起，位错偶极子、圆形埃舍尔比夹杂或集中力偶位于该涂层内。埃舍尔比夹杂经历均匀的反平面本征应变或均匀的平面内体积本征应变。结果，位错偶极子、圆形埃舍尔比夹杂或集中力偶中任何一个的影响都被掩盖了，因为它们的存在不会干扰两个周围半平面中规定的均匀应力场。
