Abstract
Bu çalışmada, fonksiyonel derecelendirilmiş (FDM) değişken kalınlıklı dönen içi dolu disklerde elastik ve kısmen plastik gerilme durumları için sayısal hesaplamalı bir model geliştirilmiştir. Disk malzemesinin elastisite modülü, Poisson oranı, akma limiti ve yoğunluğu radyal doğrultuda herhangi bir fonksiyon cinsinden değişebilmektedir. Küçük deformasyonlar ve düzlem gerilme durumunun geçerli olduğu kabul edilmiştir. Von Mises kriteri, toplam deformasyon teorisi ve Swift tipinde lineer olmayan bir pekleşme kuralı kullanılarak dönen diskin kısmen plastik davranışını tarif eden bir diferansiyel denklem elde edilmiştir. Bu diferansiyel denklem lineer olmadığı için sayısal çözümü bilgisayar ortamında Newton yinelemeleriyle birleştirilmiş bir shooting metodu kullanılarak elde edilmiştir. Oluşturulan sayısal hesaplamalı model, analitik çözümlerle karşılaştırılarak doğrulanmıştır.
Keywords
Fonksiyonel derecelendirilmiş malzemeler dönen diskler von Mises kriteri lineer olmayan gerinme pekleşmesi shooting metodu.
References
- Timoshenko, S.P. and Goodier, J.N., Theory of
- Elasticity, 3rd Edition, McGraw Hill, New York,
- -
- Uğural, A.C. and Fenster, S.K., Advanced
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- Prentice Hall International, London, 1995.
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- Rotating Solid Disk”, Ingeniur-Archiv, 54, 345-
- , 1984.
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- Elastic-Plastic Disk”, ZAMM, 65, 4, 136-137,
- -
- Eraslan, A.N. and Orcan, Y., “Elastic-Plastic
- Deformations of a Rotating Solid Disk of
- Exponentially Varying Thickness”, Mechanics of
- Materials, 34, 423-432, 2002.
- Orcan, Y. and Eraslan, A.N., “Elastic-Plastic
- Stresses in Linearly Hardening Rotating Solid
- Disks of Variable Thickness”, Mechanics
- Research Communications, 29, 269-281, 2002.
- Eraslan, A.N. and Orcan, Y., “On the Rotating
- Elastic-Plastic Solid Disks of Variable Thickness
- Having Concave Profiles”, International
- Journal of Mechanical Sciences, 44, 1445-1466,
- -
- Güven, U., “Elastic-Plastic Stress Distribution in
- a Rotating Hyperbolic Disk With Rijid
- Inclusion”, International Journal of
- Mechanical Sciences, 40, 97-109, 1998.
- Eraslan, A.N. and Argeso, H., “Limit Angular
- Velocities of Variable Thickness Rotating
- Disks”, International Journal of Solids and
- Structures, 39, 3109-3130, 2002.
- Horgan, C.O. and Chan, A. M., “The Stress
- Response of Functionally Graded Isotropic
- Linearly Elastic Rotating Disks”, Journal of
- Elasticity, 55, 219-230, 1999.
- Güven, U., “Elastic-Plastic Stresses in a Rotating
- Annular Disk of Variable Thickness and Variable
- Density”, International Journal of Mechanical
- Sciences, 34(2), 133-138, 1992.
- Durodola JF and Attia O., “Deformation and
- Stresses in FG Rotating Disks”, Compos. Sci.
- Technol., 60, 987–995, 2000.
- Eraslan, A.N. and Akış, T., “On the Plane Strain
- and Plane Stress Solutions of Functionally
- Graded Rotating Solid Shaft and Solid Disk
- Problems”, Acta Mechanica, 181, 43-63, 2006.
- Mendelson, A., Plasticity: Theory and
- Applications, Collier-Macmillan, New York,
- London,1968.
- Brown, P.N. and Hindmarsh, A.C., “Reduced
- Storage Matrix Methods in Stiff ODE Systems” ,
- Applied Mathematics and Computation, 31,
- -91, 1989.
- Garvan, F., The Mapple Book, Chapman and
- Hall/CCR, 2002.
Abstract
References
- Timoshenko, S.P. and Goodier, J.N., Theory of
- Elasticity, 3rd Edition, McGraw Hill, New York,
- -
- Uğural, A.C. and Fenster, S.K., Advanced
- Strength and Applied Elasticity, 3rd Edition,
- Prentice Hall International, London, 1995.
- Gamer, U., “Elastic-Plastic Deformation of the
- Rotating Solid Disk”, Ingeniur-Archiv, 54, 345-
- , 1984.
- Gamer, U., “Stress Distribution in the Rotating
- Elastic-Plastic Disk”, ZAMM, 65, 4, 136-137,
- -
- Eraslan, A.N. and Orcan, Y., “Elastic-Plastic
- Deformations of a Rotating Solid Disk of
- Exponentially Varying Thickness”, Mechanics of
- Materials, 34, 423-432, 2002.
- Orcan, Y. and Eraslan, A.N., “Elastic-Plastic
- Stresses in Linearly Hardening Rotating Solid
- Disks of Variable Thickness”, Mechanics
- Research Communications, 29, 269-281, 2002.
- Eraslan, A.N. and Orcan, Y., “On the Rotating
- Elastic-Plastic Solid Disks of Variable Thickness
- Having Concave Profiles”, International
- Journal of Mechanical Sciences, 44, 1445-1466,
- -
- Güven, U., “Elastic-Plastic Stress Distribution in
- a Rotating Hyperbolic Disk With Rijid
- Inclusion”, International Journal of
- Mechanical Sciences, 40, 97-109, 1998.
- Eraslan, A.N. and Argeso, H., “Limit Angular
- Velocities of Variable Thickness Rotating
- Disks”, International Journal of Solids and
- Structures, 39, 3109-3130, 2002.
- Horgan, C.O. and Chan, A. M., “The Stress
- Response of Functionally Graded Isotropic
- Linearly Elastic Rotating Disks”, Journal of
- Elasticity, 55, 219-230, 1999.
- Güven, U., “Elastic-Plastic Stresses in a Rotating
- Annular Disk of Variable Thickness and Variable
- Density”, International Journal of Mechanical
- Sciences, 34(2), 133-138, 1992.
- Durodola JF and Attia O., “Deformation and
- Stresses in FG Rotating Disks”, Compos. Sci.
- Technol., 60, 987–995, 2000.
- Eraslan, A.N. and Akış, T., “On the Plane Strain
- and Plane Stress Solutions of Functionally
- Graded Rotating Solid Shaft and Solid Disk
- Problems”, Acta Mechanica, 181, 43-63, 2006.
- Mendelson, A., Plasticity: Theory and
- Applications, Collier-Macmillan, New York,
- London,1968.
- Brown, P.N. and Hindmarsh, A.C., “Reduced
- Storage Matrix Methods in Stiff ODE Systems” ,
- Applied Mathematics and Computation, 31,
- -91, 1989.
- Garvan, F., The Mapple Book, Chapman and
- Hall/CCR, 2002.
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Makaleler |
| Authors | |
| Publication Date | February 18, 2013 |
| Submission Date | February 18, 2013 |
| Published in Issue | Year 2008 Volume: 23 Issue: 3 |