Heterogeneous Plate

2020 ◽  
pp. 1063-1063
Keyword(s):  
Heterogeneous Plate

On the General Theory of Heterogeneous Aeolotropic Plates

1964 ◽  
Vol 15 (1) ◽  
pp. 29-38 ◽  
Author(s):  
Yehuda Stavsky
Keyword(s):  
Plate Theory ◽  
Variable Coefficients ◽  
Small Deflection ◽  
Non Linear ◽  
Plate Equations ◽  
Linear Differential ◽  
Deflection Theory ◽  
Large Deflection Theory ◽  
Heterogeneous Plate ◽  
Transverse Deflection

SummaryA large deflection theory is established for the bending and stretching of aeolotropic plates with elastic moduli that vary in the x, y, z directions. The theory is formulated in terms of two simultaneous non-linear differential equations, with variable coefficients, for the transverse deflection w and an Airy stress function F. Small deflection heterogeneous plate theory and some other sub-classes of plate problems are formulated by specialising the general non-linear plate equations. Effects of initial irregularities and of a variable elastic foundation are considered.

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