The Stability and Post-Buckling State of a Rectangular Disk Under Unidirectional Bending and Simultaneous Shear
To determine these functions, the Kármán differential equations of the nonlinear theory of plates were used. The parameters in the deflection function w (x,y) were determined by means of the Bubnov-Galerkin method.
As a result of this, equations from which the stress and strain components could be determined by dimensionless coefficients were obtained. These equations were then used for detailed computations of the disk for which the ratio of the edge lengths =a/b=0.9. The results of computations were presented in the form of graphs prepared in a form useful for practical calculations.
W. WALCZAK, Analiza stanu naprężenia tarczy prostokątnej. po utracie stateczności, wywołanej zginaniem w płaszczyźnie tarczy Arch. Budowy Maszyn, 12, 1, 1965.
S. P. TIMOSZENKO, J. M. GERE, Teoria stateczności sprężystej, wyd. I, (tłum z ang.), Arkady, Warszawa 1963.