ABSTRACT
The main shortcoming of triangular finite element (FE) in modeling a plane body is the slow convergence of simulated stress-strain state (SSS) characteristics to the exact solution of an elastic problem, i.e., the FEs of very small size should be employed to get a satisfactory analysis. A square FE is used in the construction of an arbitrary quadrilateral convex FE. A FE of known type is used for construction of a new, more complex, type of FE not only in the case of quadrilateral FEs for solving planar problems of the elasticity theory. For applicability of the given mapping to approximating the field at the domain of a generalized FE, it remains to be proved that the image of the template square coincides with a generalized quadrilateral. If the shape of a quadrilateral element differs from rectangular, quadrature approximation contains an error which affects the precision of the SSS evaluation. The image of the template square coincides with a generalized quadrilateral.
