@article { author = {عارفی, محمد and sharifian, sina}, title = {Thermo-elastic analysis of a functionally graded thick-walled cylinder with temperature – dependent material properties}, journal = {Iranian Journal of Mechanical Engineering Transactions of ISME}, volume = {21}, number = {3}, pages = {79-100}, year = {2019}, publisher = {ISME}, issn = {2538-4775}, eissn = {}, doi = {}, abstract = {In this work, thermo – elastic analysis for functionally graded thick – walled cylinder with temperature - dependent material properties at steady condition is investigated. The length of cylinder is infinite and loading is consist of internal hydrostatic pressure and temperature gradient. All of physical and mechanical properties expect the Poisson's ratio are considered as multiplied an exponential function of temperature and power function of radius. With these assumptions, the nonlinear differential equations for temperature distribution at cylindrical coordinate is obtained. Temperature distribution is achieved by solving this equation using classical perturbation method. With considering strain – displacement, stress – strain and equilibrium relations and temperature distribution that producted pervious the constitutive differential equations for cylinder is obtained. By employing mechanical boundary condition the radial displacement is yield. With having radial displacement, stresses distribution along the thickness are achieved. The results of this work show that by increasing the order of temperature perturbation series the convergence at curves is occurred and also dimensionless radial stress decrease and other stresses with dimensionless radial displacement increase.}, keywords = {Infinite thick–walled cylinder,Temperature-dependent properties,Functionally graded material,Perturbation method}, title_fa = {تحلیل ترموالاستیک استوانه جدارضخیم هدفمند با خواص متغیر با دما به کمک روش اغتشاش}, abstract_fa = {در این پژوهش تحلیل ترموالاستیک استوانه جدارضخیم با خواص وابسته به دما بررسی می شود. کلیه خواص جز ضریب پواسونتابعی از دما و شعاع می باشد. با فرضیات مذکور، معادله دیفرانسیل غیرخطی برای توزیع انتقال حرارت در مختصات استوانه‎ای حاصل می‌گردد. حل این معادله به روش اغتشاشات سنتی، توزیع انتقال حرارت در استوانه را به‌صورت تقریبی- تحلیلی منتجه می‌شود. معادله دیفرانسیل حاکم بر مسئله، با در نظر گرفتن روابط کرنش – تغییر مکان، تنش – کرنش و تعادل به همراه توزیع انتقال حرارت قبلی حاصل می‌گردد. با حل این معادله به کمک شرایط مرزی مکانیکی، جابجایی شعاعی حاصل می‌گردد.}, keywords_fa = {استوانه جدارضخیم نامتناهی,خواص وابسته به دما,مواد هدفمند,روش اغتشاشات}, url = {https://jmep.isme.ir/article_37949.html}, eprint = {https://jmep.isme.ir/article_37949_7080601e599b6f3d73bf8484337f3b1e.pdf} }