HPMによる薄板の離散化極限解析

抄録

In this paper, we have given the investigations of the thin plate bending problem by using hybrid-type penalty method (HPM). We apply Kirchhoff theory to the displacement field of the 3D case of HPM. For this purpose, we use quadratic form of the displacements which parameters are independently defined in each subdomain. We introduce penalty function that presents strong spring connecting each subdomain. We apply nonlinearity in penalty function such as spring system, which allow us to calculate hinge line. If hinge line makes mechanism then we can calculate limit load. We can calculate growing hinge line systematically using r-min method for the nonlinear analysis. In the first part of the paper, we have given brief formulation of proposed method, and in second part, we have given some numerical results to check accuracy of elastic solution and limit load.