Stroh formalism and its extensions to coupled inplane-bending problems

Stroh formalism for two-dimensional linear anisotropic elasticity has been discussed vastly in the literature. its extension to the coupled inplane-bending problems was just emerging recently, and was called Stroh-like formalism. In order to transfer all the related formulae and mathematical techniques of Stroh formalism to Stroh-like formalism, an exact comparison is necessary. To have the exact comparison, same notations are used in these two formalisms if they bear the same physical meaning. Hence, some of the expressions published recently in the previous works have been rewritten and compared in this paper. Moreover, the uncoupling of inplane and antiplane problems, and the uncoupling of inplane and bending problems are also discussed and compared. From the comparison and discussion given in this paper, we know that further detailed derivation for the unsolved problems may be avoided if their corresponding problems have been solved previously.