Applied Mathematics and Mechanics (English Edition)
题名：Boundary-layer disturbances subjected to free-stream turbulence and simulation on bypass transition
作者：Jian WU1, C. Q. RU2, Liang ZHANG1,3, Ling WAN1
单位：1. College of Aerospace Engineering, Chongqing University, Chongqing 400044, China;
2. Department of Mechanical Engineering, University of Alberta, Alberta T6G 2G8, Canada;
3. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China
摘要：The internal stress field of an inhomogeneous or homogeneous inclusion in an infinite elastic plane under uniform stress-free eigenstrains is studied. The study is restricted to the inclusion shapes defined by the polynomial mapping functions mapping the exterior of the inclusion onto the exterior of a unit circle. The inclusion shapes, giving a polynomial internal stress field, are determined for three types of inclusions, i.e., an inhomogeneous inclusion with an elastic modulus different from the surrounding matrix, an inhomogeneous inclusion with the same shear modulus but a different Poisson's ratio from the surrounding matrix, and a homogeneous inclusion with the same elastic modulus as the surrounding matrix. Examples are presented, and several specific conclusions are achieved for the relation between the degree of the polynomial internal stress field and the degree of the mapping function defining the inclusion shape.
关键词：inclusion shape internal stress field eigenstrain polynomial