George Trapp and Bohe Wang
Computer Science and Electrical Engineering Department,
West Virginia University, Morgantown WV 26506
The push bound problem is a very interesting one. When we push at a plate, sometime all plate goes ahead, sometime some place bounds. C. V. Coffman and R. J. Duffin, R. J. Duffin and P. R. Garabedian did good job in this field. Here, what we are considering is, for square plates, when we push at a given point, which points will bound. Using difference method and MATLAB, we deal with common material (like galss, steel, ...) and composite material square plates. The position where the load P acts on is from corner to center. The results are shown in case 1 and case 2.
 C. V. Coffman and R. J. Duffin, On the structure of biharmonic functions
satisfying the clamed plate conditions on a right angle, Adv. In appl. Math.
 R. J. Duffin, Some problems of mathematics and science, Bull Amer. Math.
Soc. 80(1974), 1053-1070.
 P. R. Garabedian, A Partial Differential Equation arising in Conformal
Mapplig, Pacific J. Math 1(1951), 485-524