Time dependent creep analysis in thick FGM rotating disk with two-dimensional pattern of heterogeneity

摘要

Combining a novel modeling algorithm and Generalized Differential Quadrature (GDQ) solution method of differential equations, a time depended creep analysis is performed for a Functionally Graded (FG) rotating thick disk featuring a two-dimensional type of heterogeneity. The disk is made of SiC reinforcement particles distributed functionally both radially and axially in Aluminum based matrix continuously. All mechanical and thermal properties are functions of SiC volume fraction. Primary and secondary creep behaviors are based on Norton's creep law. Creep parameters are depended on temperature, particle size and volume fraction of particles. Using equilibrium, constitutive and strain-displacement equations, nonlinear displacement-based creep equations are obtained. A solution algorithm is developed to solve the nonlinear form of equations. The application of 2-D GDQ method is examined in solution of resulting system of equations. Exemplary case studies confirm that in comparison with one-dimensional models, two-dimensional methodologies are more versatile for the study of FGM structures. (C) 2018 Elsevier Ltd. All rights reserved.