A modified wavelet Galerkin method for analysis of mindlin plates

A modified wavelet Galerkin method for the analysis of Mindlin plates is pr oposed. The analysis of Mindlin plates often suffers from 'shear locking', which is the phenomena that the overstiff response is estimated under the K irchhoff constraint condition in the very thin plate. In order to overcome shear locking, in the proposed formulation of wavelet Galerkin method, the B-spline scaling function is adopted for the approximation of transverse di splacement field, while the direct derivative of B-spline function is utili zed for rotational field, which is consistent with the definition of the tr ansverse shear strain. Various kinds of plate analyses are conducted under several conditions. As results, the completely locking free responses are a lways obtained if the direct derivative scaling function is used for the ap proximation of rotational field and the validity of the proposed wavelet Ga lerkin method is clarified.