A novel method for accurate simulations of concentrated forces in finite element analysis

In this paper, the analytical displacement solution at the point of the application of a concentrated force is derived using elastic mechanics. Then, the concentrated-force asymptotic function is obtained. Next, by introducing the concentrated-force asymptotic functions into finite element analysis, a method of simulating concentrated forces is developed. The proposed method can obtain an accurate stress field without any mesh refinement at the point of the application of a concentrated force. Meanwhile, the proposed method has considered the effect of the direction of the concentrated forces. The numerical tests reveal that the proposed method is convergent, accurate and feasible for obtaining satisfactory results.

Automated summary

In this paper, an analytical displacement solution at the point of the application of a concentrated force is derived using elastic mechanics, and a method of simulating concentrated forces in finite element analysis is developed. The method considers the effect of the direction of the concentrated forces and is shown to be convergent, accurate, and feasible for obtaining satisfactory results through numerical tests.