Progress in Analysis of Functionally Graded Structures


Farzad Ebrahimi
Hosein Ali Sepiani (University of Tehran)
Ali Ghorbanpour Arani (University of Kashan)

Mechanical Engineering Theory and Applications

This new book presents derivations of the basic equations of mechanics in invariant form and specializations of the governing equations of thermoelastic, magnetothermoelastic, vibration and buckling analysis to both thin and thick shells and spheres made of functionally graded materials. The results presented herein may be treated as a benchmark for checking the validity and accuracy of other numerical solutions. Despite a number of existing texts on the theory and analysis of plates and/or shells, up until this point there has not been a single book that is devoted entirely to the analysis of inhomogeneous isotropic and functionally graded shells and spheres.

Table of Contents


Chapter 1: Vibration and buckling analysis of FGM cylindrical shells under combined static and periodic axial forces, PP.1-20

Chapter 2: Stability analysis of FGM cylindrical shells under combined static and periodic axial forces, pp.21-40

Chapter 3: Vibration and buckling analysis of two-layered functionally graded cylindrical shells, pp.41-62

Chapter 4: Elastic Stability Analysis of a Two-layered functionally Graded Cylindrical Shell under Axial Compression, pp.63-86

Chapter 5: Magnetothermoelastic transient response of a functionally graded thick hollow sphere, pp.87-116

Chapter 6: Magnetothermoelastic stress and perturbation of magnetic field vector in a functionally graded hollow sphere, pp.117-136

Index, p.137

Additional information



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