Abstract
Mathematical formulations for the displacement-based variable-order rectangular, cylindrical and wedge solid elements are presented for three-dimensional, linear elastic analysis of structures. The principle of virtual work is employed to obtain the stiffness matrices and load vectors for various solid elements subjected to hygrothermomechanical loads, Explicit expressions for the coefficients of stiffness matrices for the vuriableorder rectangular, cylindrical and wedge solid elements have been derived for the case of elemental displacement field being approximated by the triple series. Based on the mathematical formulations presented in this work a computer code for linear elastic, three-dimensional analysis of structures using variable-order rectangular and cylindrical solid elements has been developed.
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