an:03902165
Zbl 0565.73046
Kohn, Robert V.; Vogelius, Michael
A new model for thin plates with rapidly varying thickness. II: A convergence proof
EN
Q. Appl. Math. 43, 1-22 (1985).
00150370
1985
j
74K20
rapidly varying thickness; Three different length scales of variation; long scale variation; asymptotic limit of the intermediate case; convergence theorem; three-dimensional elasticity equations
[For part I see Int. J. Solids Struct. 20, 333-350 (1984; Zbl 0532.73055).]
A model for thin plates with rapidly varying thickness is presented. Three different length scales of variation are considered. It is shown, that the case of long scale variation is an asymptotic limit of the intermediate case. Moreover a convergence theorem for the last case is given, showing that the model in the limit represents the three- dimensional elasticity equations. The paper is of theoretical interest and has no direct relation to practical problems.
W.Schnell
Zbl 0532.73055