Hygro-thermo-elastic nonlinear analysis of functionally graded porous composite thin and moderately thick shallow panels
Mohammad Rezaiee‐Pajand, Amir R. Masoodi
Abstract
This study is dedicated to implement hygro-thermo-mechanical nonlinear analysis of curved thin and moderately thick shallow panels, in which Functionally Graded Materials (FGMs) are employed through the thickness. Based on the rule of mixture, three different patterns of FGMs, including power, exponential and sigmoid patterns are used in formulation. The distribution of porosity within the material is also considered to be uniform. Therefore, the elastic modulus and Poisson’s ratio have a linear function. It is worth mentioning that thermal-dependency of materials is ignored, and it is assumed to be Thermal-Independent (TID). On the other hand, the shell structures are analyzed under the effects of hygro-thermal, mechanical and hygro-thermo-mechanical loads separately. It is aimed to obtain the post-buckling structural behavior, by considering large displacements and rotations. Some well-known benchmark problems are also considered to indicate the high accuracy, capability and performance of the proposed formulation in the nonlinear analysis of FG shells. Moreover, the influences of several parameters, such as, FGM patterns, thermal and moisture expansion coefficients and curvature ration of structure on the obtained results are accurately investigated.