First of all, an analytical solution of dislocation is deduced, which is suitable to elastic semi-infinite plane of homogeneous, transversely isotropic media.

首先推导了横观各向同性线弹性介质半无限平面内的位错解析解。

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The results of the isotropic variable thickness beam obtained by reduction of the solution show that the composite laminated beam theory and the method used for study are correct.

由其获得的各向同性变厚度梁的数值结果表明，本文建立的叠层梁理论和分析方法是正确的。

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Then the analytical solution is obtained for transversely isotropic multi-layered elastic subgrade under arbitrary loadings by means of transferring matrix method.

然后再利用传递矩阵技术，给出了任意荷载作用下的层状横观各向同性弹性地基的解析解。

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