THERMO-ELASTIC ANALYSIS OF CLAMPED-CLAMPED THICK FGM CYLINDERS BY USING THIRD-ORDER SHEAR DEFORMATION THEORY

Abstract

USING THE THIRD-ORDER SHEAR DEFORMATION THEORY (TSDT), AN ANA-LYTICAL SOLUTION FOR DEFORMATIONS AND STRESSES OF AXISYMMETRIC CLAMPED-CLAMPED THICK CYLINDRICAL SHELLS MADE OF FUNCTIONALLY GRADED MATERIAL (FGM) SUBJECTED TO INTERNAL PRESSURE AND THER-MAL LOADING ARE PRESENTED. THE MATERIAL PROPERTIES ARE GRADED ALONG THE RADIAL DIRECTION ACCORDING TO POWER FUNCTIONS OF THE RADIAL DIRECTION. IT IS ASSUMED THAT POISSONÂS RATIO IS CONSTANT ACROSS THE CYLINDER THICKNESS. THE DIFFERENTIAL EQUATIONS GOVERNING WERE GENERALLY DERIVED, MAKING USE OF TSDT. FOLLOWING THAT, THE SET OF NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS FOR THE CYLIN-DER WITH CLAMPED-CLAMPED ENDS WAS SOLVED, AND THE EFFECT OF LOADING AND SUPPORTS ON THE STRESSES AND DISPLACEMENTS WAS IN-VESTIGATED. THE PROBLEM WAS ALSO SOLVED, USING THE FINITE ELEMENT METHOD (FEM), AND THE RESULTS OF WHICH WERE COMPARED WITH THOSE OF THE ANALYTICAL METHOD. FURTHERMORE, THE EFFECT OF INCREAS-ES IN THE TEMPERATURE GRADIENT ON DISPLACEMENT AND STRESS VALUES HAS BEEN STUDIED. FINALLY, IN ORDER TO INVESTIGATE THE EFFECT OF THIRD-ORDER APPROXIMATIONS ON DISPLACEMENTS AND STRESSES, A COM-PARISON BETWEEN THE RESULTS OF FIRST- AND THIRD-ORDER SHEAR DEFOR-MATION THEORY HAS BEEN MADE.