Research on establishing BEM of thin plates with Kelvin's fundamental solution

In this paper, a new approach based on Kirchhoff hypothesis of plate is proposed, by employing which the theory of BEM of linear elastostatics can be simplified to BEM of arbitrary thin elastic plate. Instead of the fundamental solution of plate, we adopt the well known Kelvin's solution. By boundary treatment, we can obtain a computational scheme with high consistency, without having to deal with the concentrate load at corner point, and make it easy to analyze the transverse coupling problem of plate. This research work also lies in founding BEM of general shells, so that the difficulty of looking for their fundamental solutions can be avoided.The project is supported by National Natural Science Foundation of China