A research on the companion solution for a thin plate in the meshless local boundary integral equation method
In this paper, the local boundary integral equation (LBIE) for a Kirchhoff elastic plate is formulated. In order to get rid of the unknown functions Mn(x) and Vn(x) in the integrals along local boundaries the companion solution is introduced into the LBIE of the thin plate. In this work, first, the companion solution associated with the fundamental solution of the thin plate is given, then all the other known functions related to the companion solution and required in the meshless LBIE are presented.
companion solution thin plate meshless local boundary integral equation method