Abstract: This paper proceeds from generalized Papkovich-Neuber axisymmetric general solution^[1] of the axisymmetric problems of transversely isotropic elasticity in a cylindrical coordinate system. By omitting or making conjugate for the potential functions in it, five special general solutions are derived. Their comple-teness is also proved.

Key words: transversely isotropic, axisymmetric problem, elastic general solution, completeness

摘要： 本文从柱坐标下横观各向同性体轴对称问题的广义轴对称Papkovich-Neuber通解^[1]出发，通过对通解中的势函数省略或取共轭，得到了五个特殊形式通解，并证明了它们都是完备的。

关键词: 横观各向同性, 轴对称问题, 弹性通解, 完备性