Damircheli, M., Azadi, M. (2008). Nonlinear Finite Element Analysis of Thermoelastic Stresses of FGM Rotating Disk Considering Temperature-Dependency of Material Properties. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1(2), 51-58.
Mehrnoosh Damircheli; Mohammad Azadi. "Nonlinear Finite Element Analysis of Thermoelastic Stresses of FGM Rotating Disk Considering Temperature-Dependency of Material Properties". Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1, 2, 2008, 51-58.
Damircheli, M., Azadi, M. (2008). 'Nonlinear Finite Element Analysis of Thermoelastic Stresses of FGM Rotating Disk Considering Temperature-Dependency of Material Properties', Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 1(2), pp. 51-58.
Damircheli, M., Azadi, M. Nonlinear Finite Element Analysis of Thermoelastic Stresses of FGM Rotating Disk Considering Temperature-Dependency of Material Properties. Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering, 2008; 1(2): 51-58.
Nonlinear Finite Element Analysis of Thermoelastic Stresses of FGM Rotating Disk Considering Temperature-Dependency of Material Properties
1Ph.D Student of mechanical engineering, Islamic Azad University, Science and Technology branch
2Ph.D Student of mechanical engineering, Sharif University of Technology
Abstract
In the present paper, nonlinear radial and hoop thermoelastic stresses analysis of a disk made of FGMs material is investigated. According to this purpose, finite element method is used. In the present method, second-order one-dimensional element (with three node points) is proposed. The geometrical and stress boundary conditions are defined in the state of non-existence of external pressure and then zero radial stress in the outer layer of the disk, and zero displacement in the center of the disk. Also the temperature distribution is assumed as linear. The material properties changes including temperature-dependency are modeled. Finally, a numerical example is proposed to show the radial displacements, radial and hoop thermoelastic stresses versus radius of the disk for different power (N) from Power-law and different angular velocities. The results show that by increasing both two parameters, N and angular velocity of the disk, the amounts of displacement and stress are increased. At last, temperature-dependency and temperature-independency of material properties is investigated.
تحلیل اجزاء محدود غیرخطی تنشهای ترموالاستیک دیسک دوار FGM با در نظر گرفتن وابستگی خواص مواد به دما
Authors [Persian]
مهرنوش دمیرچلی1; محمد آزادی2
1دانشجوی دکتری مکانیک ، دانشگاه آزاد واحد علوم و تحقیقات
2دانشجوی دکتری مکانیک، دانشگاه صنعتی شریف
Abstract [Persian]
در این مقاله، تحلیل غیرخطی تنشهای ترموالاستیک شعاعی و محیطی یک دیسک توپر ساخته شده از جنس مواد FGM انجام شده است. برای این منظور، از روش اجزاء محدود استفاده شده است. در روش فوق، المانهای یکبعدی مرتبه دو (با سه نقطه گره) بهکار رفتهاند. شرایط مرزی هندسی و تنشی، به شکل عدم وجود فشار خارجی و در نتیجه صفر بودن تنش شعاعی در لایه بیرونی دیسک، و جابه‌جایی صفر در مرکز آن تعریف می‌شود. توزیع دما، به‌صورت یک منحنی درجه دوم فرض شده است. تغییرات خواص مواد، شامل مدول الاستیسیته، ضریب پواسون و ضریب انبساط خطی حرارتی، با استفاده از تابعی توانی بر حسب تغییرات شعاع دیسک و همچنین، وابستگی آنها به دما، مدلسازی شدهاند. یک مثال عددی آورده شده است که در آن جابه‌جاییهای شعاعی، تنشهای ترموالاستیک شعاعی و محیطی به ازای توانهای مختلفی (N) از قانون توانی و سرعتهای زاویهای متفاوت بر حسب شعاع دیسک ارائه گردیدهاند. نتایج نشان میدهند که با افزایش هر دو پارامتر N و سرعت زاویهای دیسک، مقادیر جابه‌جایی و تنش، افزایش مییابند. در انتهای مقاله، وابستگی و عدم وابستگی خواص به دما مورد بررسی قرار گرفته است.
Keywords [Persian]
دیسک دوار، روش اجزاء محدود، FGM، تنش ترموالاستیک، وابستگی خواص به دما، تحلیل غیرخطی
References
[1] Suresh S., Mortensen A., Fundamental of Functionally Graded Materials, Barnes and Noble Pub, 1998.
[2] Koizumi M., Nino M., Overview of FGM research in Japan, MRS Bulletin, Vol. 20, 1995, pp. 19-21.
[3] Kaysser W.A., Ilschner B., FGM research activities in Europe, MRS Bulletin, Vol. 20 1995, pp. 22-26.
[4] Research on the basic technology for the development of functionally graded materials for relaxation of thermal stress, Science on Technology Agency of Japanese Government Report, 1987.
[5] Timoshenko S.P., Goodier J.N., Theory of Elasticity, McGraw-Hill, New York, 1987
[6] Lekhnitskii S.G. , Anisotropic Plates, Gordon and Breach, London, 1968.
[7] Seireg A., Surana K.S., Optimum design of rotating disks, J. Engineering, Vol. 92, 1970, pp. 1–10.
[8] Murthy D.N.S., Sherbourne A.N., Elastic stresses in anisotropic disks of variable axial, J. Mechanical Science, Vol. 12,1970, pp. 627–640.
[9] Yeh K.Y., Han R.P.S., Analysis of high-speed rotating disks with variable axial and in-homogeneity, J. Applied Mechanics, Vol. 61, 1994, pp. 186–191.
[10] Leissa A.W., Vagins M., The design of orthotropicmaterials for stress optimization, J. Solids Structures, Vol. 14,1978, pp. 517–526.
[11] Jain R., Ramachandra K., Simha K.R.Y., Rotating anisotropic disc of uniform strength, J. Mechanical Science, Vol. 41, 1999, pp. 639–648.
[12] Jain R., Ramachandra K., Simha K.R.Y., Singularity in rotating orthotropic discs and shells, J. Solids Structures, Vol. 37, 2000, pp. 2035–58
[13] Zhou F., Ogawa A., Elastic solutions for a solid rotating disk with cubic anisotropy, J. Applied Mechanics, Vol. 69 , 2002, pp. 81–83
[14] Ramu S.A., Iyengar K.J., Quasi-three dimensional elastic stresses in rotating disks, J. Mechanical Science, Vol. 16 ,1974, pp. 473–477
[15] Chen W.Q., Lee K.Y., Stresses in rotating cross-ply laminated hollow cylinders with arbitrary axial, J. Strain Analysis, Vol. 39, 2004, pp. 437–445
[16] Mian M.A, Spencer A.J.M., Exact solutions for functionally graded and laminated elastic materials, J. Solid Mechanics, Vol. 46, 1998, pp. 2283–95.
[17] Chen J., Ding H., Chen W., Three-dimensional analytical solution for a rotating disc of functionally graded materials with transverse isotropy, J. Applied Mechanics, Vol. 77, 2007, pp. 241–251.
[18] Hosseini Kordkheili S.A., Naghdabadi R., Thermoelastic analysis of a functionally graded rotating disk, J. Composite Structures, Vol. 79, 2007, pp. 508-516.
[19] Zenkour A.M., Stress distribution in rotating composite structures of functionally graded solid disks, J. Materials Processing Technology, Vol. 209(7), 2009, pp. 3511-17.
[20] Bayat M., Sahari B.B., Saleem M., Ali A., Wong S.V., Thermoelastic solution of a functionally graded variable thickness rotating disk with bending based on the first-order shear deformation theory, J. Thin-walled Structure, Vol. 47, Issue 5, 2009, Pages 568-582 .
[21] Reddy J.N., Chin C.D., Thermomechanical analysis of functionally graded cylinders and plates, J. Thermal Stresses, Vol. 21,1998, pp. 593-626.
[22] Budynas R.G., Advanced Strength And Applied Stress Analysis, McGraw-Hill Kogakusha, Ltd., Tokyo, 1977.
[23] T.J.R. Hughes, The Finite Element Method, Prentice-Hall International Inc., 1987.
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