运用Ｍｕｓｋｈｅｌｉｓｈｖｉｌｉ复变方法研究周期镶嵌全平面应变问题。将这特殊的三维弹性问题分解为线性独立的两组二维弹性问题，并进一步归结为求解３个复应力函数满足一定的边值问题，分别对同种材料和同剪切模数的不同材料周期镶嵌全平面应变问题进行了讨论，并分别给出其封闭形式的解。 Study on Periodic Inlaid Planar Plane Strain Problem with Muskhelishvili Complex Method. This particular three-dimensional elastic problem is decomposed into two linear two-dimensional elastic problems, and further reduced to solving three complex stress function to meet certain boundary value problems, respectively, for the same material and the same shear modulus of different materials Periodic mosaic full plane strain problems are discussed and their closed form solutions are given respectively.