Plenary and Semi-Plenary Lectures
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| Title: |
| MLS-based variable-node elements and their applications |
| Lecturer: |
| Seyoung Im |
| Abstract: |
| A new class of finite elements, called MLS (Moving Least Square)-based variable-node elements, is presented with various applications. In the formulation of these elements, the mapping from the parental domain to the physical element domain is implicitly obtained from MLS approximation, with the shape functions and their derivatives calculated and saved only at the numerical integration points. They make it possible to effectively approximate complex fields, such as, those containing slope discontinuities, phase boundaries, or physical/geometric interfaces. Furthermore, the elements allow flexibility in adjusting the number of nodal points depending on the severity of the field gradients, and accordingly they provide superior compatibility with other elements in general. The applications are demonstrated for interface elements in nonmatching finite element meshes, simulation of crack propagation, contact mechanics, and various problems including slope discontinuities and phase boundaries. |
 Dr. Im has worked on computational mechanics on various scales from continua to atoms. His major contributions include finite element analysis of wrinkling membranes (J. Appl. Mech. Vol. 66, pp.687-694, 1999; Comput. Meth. Appl. Mech. and Engr. Vol.173, pp.227-240, 1999), applications of two-state conservation integrals for computational fracture mechanics (J. Mech. Phys. Solids, Vol. 48, pp.129-151, 2000; J. Mech. Phys. of Solids, Vol. 49, pp. 2789-2818, 2001; J. Mech. Phys. Solids, Vol. 51, pp.825-850, 2003), and finite element implementation of transformation plasticity in welding (Int. J. Plasticity Vol. 21, pp.1383-1408, 2005). Recently he has been working on MLS-based variable-node elements and their applications (Comput. Meth. Appl. Mech. Engr. Vol.194, pp.3022-3046, 2005;. Int. J. Num. Meth. Engr. in press). Furthermore, he has been conducting extensive MD (molecular dynamics) and QC (quasicontinuum) simulations of crystalline structures for looking into generation and evolution of various defects. Dr. Im is currently on the editorial board of several international journals, including Computational Mechanics, and International Journal of Plasticity. He has been on the faculty of Mechanical Engineering, KAIST in Korea since 1987. |
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