A Strategy To Perform The Reissner-Mindlin's Theory
Free (open access)
L Palermo Jr
The plate analysis is usually performed with the classical or the Reissner-Mindlin’s theory. The integral equations for the classical theory contain four boundary parameters and six for the Reissner’s theory. Mukherjee  and Paiva [ l 2 1 used the classical theory with an additional degree of freedom for the tangential boundary rotation in the integral equation and showed improvements on the results with reference to the plain formulation. A connection between the classical and the Mindlin’s theory was established using the field decomposition [l, 21. It was shown the integral equations for Mindlin’s theory could be simplified to obtain the formulation used by Mukherjee and Paiva. This paper intends to present a strategy to analyze plates with the Reissner-Mindlin’s theory using the BEM. The complete fundamental solution is employed for integrations performed on the boundary around the source point but the solenoidal component is disregarded for integrations on the remaining boundary. The responses obtained are close to those using the conventional formulation.