Plates and FEM pp 385-404 | Cite as
Orthotropic Plates in Bending and Shear
Chapter
First Online:
Abstract
The constitutive laws for bending and transverse shear in isotropic homogeneous plates were discussed in Chapter 3. We refer to this chapter for definitions of moments and curvatures. There bending moments mxx and myy occur, and equal twisting moments mxy and myx, all defined per unit length (therefore have unit of force). The constitutive relationship between moments and curvatures is
$$\left\{\begin{array}{l}m_{xx}\\ m_{yy}\\ m_{xy} \end{array}\right\} = \frac{Et^3}{12(1-\nu^2)} \left[\begin{array}{llc} 1 & \nu & 0\\ \nu & 1 & 0\\ 0 & 0 & \frac{1}{2}(1-\nu) \end{array}\right] \left\{\begin{array}{l}\kappa_{xx}\\ \kappa_{yy}\\ \rho_{xy} \end{array}\right\}$$
(21.1)
Preview
Unable to display preview. Download preview PDF.
Copyright information
© Springer Science+Business Media B.V. 2010