Application of Adomian‐type method to solve rectangular laminated thick plates in bending

Abstract

AbstractThis paper aims the use of Adomian Decomposition Method along with the pb‐2 Rayleigh‐Ritz Method to obtain the response of thick laminated plates. The Mindlin Plate Theory and the equivalent single layer concept are utilised. The differential operator is decomposed accordingly to a hierarchic constitutive scheme, resulting in a superposition of isotropic and anisotropic constitutive tensors at lamina's level. This implies the superposition of isotropic and a remainder plate stiffness with the latter grouping the anisotropic influence of each lamina at plate's level. By the Adomian Decomposition Method, an isotropic plate solution (related to the isotropic stiffness) is recursively enhanced by the laminae influence (remainder stiffness). Convergence criteria and numeric results are presented, discussed and compared with those found in the literature.