تحليل تئوري و عددي تنش هاي ترمومكانيكي كره جدار ضخيم FGM با افزايش خطي دما در جداره

چكيده انگليسي :

Analytical and Numerical Solution for the FGM Hollow Sphere Under Thermo Mechanical Loading with Linearly Increasing Boundary Temperature Amar bayat Amarr bayatt@me iut ac ir Date of Submission 2011 12 27 Department of Mechanical Engineering Isfahan University of Technology Isfahan 84156 83111 Iran Degree M Sc Language FarsiSupervisors Hasan Khademyzadeh khademyzadeh@cc iut ac ir Hasan moosavi Moosavi@cc iut ac ir AbstractIn the field of engineering combine incompatible properties such as heat abrasion and corrosion resistance aswell as a tough capable of machining and welding capabilities and ect can have many applications that theseincompatible properties exist in the functional behavior In this material the volume two of the combinatorygradual change from one to another can Because their properties such as modulus of elasticity coefficient ofthermal expansion coefficient of thermal conductivity coefficient of Poisson and Gradual changes in theinternal are affected Swimming Kith most types of FGM is a combination of metal and a refractory ceramic Shell or shell structures of the most abundant and most diverse types of structures that are found in the physicalworld around us Generally curved shell structures are of the quality of Behaviors and resisting forces andTorque compiled the top level structures are placed Proportion to the desirability of behavior the complexity oftheir analysis is important Approximate analytical methods for analysis of shell theory based on assumptionsthat form the shell The shells spherical shells due to symmetry in geometry are of particular importance Inthis thesis has been analyzed the analytical and numerical solution for the functionally graded material FGM hollow sphere under thermo mechanical loading with linearly increasing boundary temperature The recent useof spherical shells maid from homogeneous and non homogeneous materials regarding their extensiveapplication in various industries such as petrochemical industries defense industry oil and gas industry andaerospace industry has been the main motivation in the present study Particularly stress analysis of a FGMspherical shell is carried out under a pressure and thermal loading For this intent FGM is introduced Then theliterature related to this study has been reviewed In the next step the governing equations which are the termsof Navier equations are expressed The materials properties except Poisson ratio are assumed to be continuouslychanged in the radial direction In addition it is assumed that the inner surface temperature increasing linearlyfrom zero reaching a peak point of steady state In the analysis presented here also the effect of non homogeneity in FGM thick sphere was implemented by choosing a dimensionless parameter named ni i 2 2 which could be assigned an arbitrary value affecting the stresses in the sphere For solving the equations temperature distribution of the transient heat transfer is obtained for homogenous and non homogenous material taking advantage of Laplace technique and series solving method for ordinary differential equation Using planetheory of elasticity PET are obtained the radial stresses distribution hoop stresses and radial displacementcomponents for the hollow sphere under internal and external pressure For validating the results obtain fromanalytical solution finite element analysis FEA is carried out using commercial software ABAQUS As anexample a FGM hollow sphere with material properties follow a power law is calculated and numerical resultsare graphically presented Results show that there is a great agreement between the numerical results obtainedfrom FE simulations and those obtained from the presented analytical solution Keywords FGM Hollow sphere Thermo mechanical stresses Finite Element Linear thermal load

بيات، عمار

تحليل تئوري و عددي تنش هاي ترمومكانيكي كره جدار ضخيم FGM با افزايش خطي دما در جداره

المان محدود , افزايش خطي دما