Three-Phase Elliptical Inclusions with an Internal Stress Field of Linear Form
This paper studies the internal stress field of a three-phase elliptical inclusion which is bonded to an infinite matrix through an interphase layer when the matrix is subjected to a linearly distributed in-plane stress field at infinity.Two conditions are found that ensure that the internal non-uniform stress field is simply a linear function of the two coordinates.For given material and geometric parameters of the composite,these conditions can be considered as two restrictions on the applied non-uniform loadings.When these two conditions are met,elementary-form expressions of the stresses in all the three phases are derived.In particular,it is found that the mean stress within the interphase layer is also a linear function of the coordinates.If the interphase layer and the matrix have the same elastic constants,the satisfaction of the two conditions will result in a harmonic inclusion under prescribed non-constant field.
Elliptical inclusion Interphase layer Non-uniform loading Harmonic inclusion Inverse problem
Xu Wang Weiqiu Chen
School of Mechanical and Power Engineering,East China University of Science and Technology,130 Meilo Department of Engineering Mechanics,Zhejiang University,Hangzhou 310027,China
国际会议
北京
英文
1-10
2013-06-16（万方平台首次上网日期，不代表论文的发表时间）