Finite Element Procedures

Structural finite elements

Our interest lies in understanding the physics and mechanics of solids and developing advanced numerical techniques. We developed numerous mathematical formulation and simulation programs which can more analyze mechanical problems more efficiently and accurately. Especially, recently-developed continuum mechanics based shell and beam elements can give a high-fidelity solution in geometric and material nonlinear condition. Starting from the continuum mechanics based beam element developed for solving geometrically nonlinear beam problems, we also developed a numerical formulation which can efficiently analyze the functionally-graded 3D beams with geometric nonlinearity. Furthermore, we extend our interest into handling 3D composite beams which show complex nonlinear mechanical behaviors due to their complicated deformation modes. We developed an efficient warping model for nonlinear torsional analysis of 3D composite beams. Our proposed model demonstrates an excellent performance in several numerical examples shown despite its simplicity. In addition to developing the numerical formulation of a structural element, we are also interested in solving several practical problems such as developing a force identification method and subsequent life prediction of a structural system.

* Yoon, K., Kim, D.N., Lee, P.S. Nonlinear torsional analysis of 3D composite beams using the extended St. Venant solutions. Structural Engineering and Mechanics (2017).
* Yoon, K., Lee, P.S., Kim, D.N. Geometrically nonlinear finite element analysis of functionally graded 3D beams considering warping effects. Composite Structures (2015).

* Yoon, K., Lee, P.S., Kim, D.N. An efficient warping model for elastoplastic torsional analysis of composite beams. Composite Structures (2017).