Element-finite Element Method Research Articles

Elastic plastic analysis of a semi-infinte plate under various loadings by a combination of the finite element method and the body force method.

A method of elastic-plastic stress analysis based on a combination (FEM + BFM) of the finite element method (FEM) and body force method (BFM) is developed to solve semi-infinte plate problems. FEM + BFM has the advantages of both methods and has many possible applications. The line elements of BFM are located along the interface between the outer elastic domain and the inner elastic-plastic domains which are composed with FEM elements. Green's function for a semi-infinite plate is used for the application of the body force method. The elastic-plastic problems of a semi-infinite plate containing a semi-elliptical nothch and a semi-infinite plate under various surface loadings such as elliptical contact loading, elliptical surface traction and forced constant and linear displacements by a rigid punch are solved. Other applications are also suggested.

Elastic plastic analysis of an elliptical hole in an infinite plate under various combined remote stress by the combination of finite element method and body force method.

A method of elastic-plastic stress analysis based on the combination (FEM+BFM) of finite element method (FEM) and body force method (BFM) is developed. FEM+BFM has the advantages of both method (FEM and BFM) and has many possible applications. The line elements of BFM are located along the interface between the outer elastic domain and the inner elastic-plastic domains which are composed with FEM elements. In the present study, the method is applied to solve the problems of an elliptical hole contained in an infinite plate under various combined remote stress (σx∞, σy∞, τxy∞). The stress and strain concentration, the extension of plastic zone and the applicability of Neuber's rule under various combined remote stress (σx∞, σy∞, τxy∞) are investigated in details.

Hybrid finite element boundary element solutions using half-space Green’s functions

The hybrid boundary element-finite element method has been used with great success in problems of electrostatics, magnetostatics, and eddy currents.1,2 The present paper extends the method to problems which have nonhomogeneous exterior regions. The paper deals with the specific case in which the region of interest is represented by finite elements and the boundary of the problem by an integral equation. The exterior of the problem is composed of two materials: one in which the finite-element region is embedded and another material region which is an infinite half-space. These regions must be linear although they may contain sources. Examples are given and the results are compared to known solutions where possible.