1. Wave Motion Studies Originated in IEM Liao ZP (Institute of Engineering Mechanics, CSB) August 19 2004

2. 2 Professor Liu Hui Xian Initiating the studies in IEM Great support to the studies

3. 3 Problem Statement Near-field wave motion Numerical Simulation Open, Complicated System of large scale Remark: Common Problem Fields in Electromagnetics

4. 4 Goal: High Efficiency Accuracy and Stability Results: Finite Element Decoupling Technique for Simulation of the Near-Field Wave Motion

5. 5 Framework of Decoupling Technique (1970s, 1980s) Decoupling Waves passing through the boundary Wave Motion in the interior

6. 6 Transmitting Boundary conditions Liao ZP, etc., Siencia Sinica, 27(10), 1063-1076, 1984; Liao ZP, etc., Soil Dyn. Earthq. Eng., 3(1), 174-183,1984 Decoupling Simulation of Waves in the Interior of the System Lumped Mass and Consistent Mass Liao ZP ， Earthq. Eng. Eng. Vib. ， 4(2) ， 1-14 ， 1984 (in Chinese) Framework of the decoupling technique

7. 7 Recent Studies (1990s - now) Theoretical basis of the boundary Plane wave assumption and Radiation conditions at infinity Liao ZP, Sciences in China, 42(2), 177-186, 2001 Stable Implementation Semi-empirical technique to enhance the stability Classification of instabilities  Causes  Measures Liao ZP, etc., Acta Geophysica sinica, 45(4), 554-568, 2002

8. 8 Complicated Waves in the Interior The technique is generalized to include: Contactable Cracks Plasticity, Viscosity and Elasticity Constant Hysteretic Damping Liu JB, etc., Acta Mechanica Sinica, 15(1), 63-72, 1999 Liu JB, etc, Comp. Meth. Appl. Mech. Eng., 121, 187-200, 1995 123, 287-298, 1995 Li XJ, etc., Acta Seismologica Sinica, 8(3), 447-456, 1995 Liao ZP, An Introduction to Wave Motion Theories for Engineering Academic Press, Beijing,2002 (in Chinese)

9. 9 Applications Professor Chen HQ Earthquake Resistance Design Of Xiao-wan arch dam(192m) I = Ⅷ, Ⅸ

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11. 11 A sketch of F.E. modeling of Xiaowan arch dam

12. 12 Concluding Remarks Forward and Inverse Problems Cooperation of Different Disciplines