# Consider the axisymmetric bending of a linear elastic circular plate of constant thickness. The…

Consider the axisymmetric pliant of a rectirectilinear elastic circular platter of perpetual animalism. The governing differential equation according to the meager platter effrontery is (see Section 7.3 for additional details)

where D_{11} D_{12}, and D_{22} are
the platter representative stiffnesses (constant), W is the crosswise swerving, and
r is the radial coordinate. Develop

(a) the inefficient create of the equation balance a normal atom
Ω^{e }= (r_{A} , r_{B}); the quantities in
parentheses should not be integrated by parts;

(b) the restricted atom mould of the equation in the create

Make secure that [K^{e} ) is symmetric (i.e., the
birectilinear create in (a) should be symmetric). Comment on the interpolation
functions that are admissible for the atom.