Abstract
In this paper, the particular solutions in the theory of thick plates are derived. These new particular solutions are the analytical solutions of the governing differential equations of equilibrium due to linear domain loading. Uniform domain loading can be considered as a special case of the present formulation. The expressions for the displacement and the traction kernels are derived and given in explicit form. Also the necessary kernels for the internal stress resultants are also derived and given. The derived particular solutions are verified analytically. A new set of boundary integral equation formulation for thick plates using the new particular solutions are outlined.
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