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Elastic-plastic transition on rotating spherical shells in dependence of compressibility
(naslov ne postoji na srpskom)
aDepartment of Mathematics, ICFAI University Baddi, Solan, Himachal Pradesh, India bDepartment of Applied Science, I.K. Gujral, Punjab Technical University Jalandhar, Ibban, Kapurthala, India cDepartment of Mathematics, Guru Nanak Dev Engineering College Ludhiana, Punjab, India dDepartment of Mathematics, Punjabi University Patiala, Punjab, India
e-adresa: dr_pankajthakur@yahoo.com
Sažetak
(ne postoji na srpskom)
The purpose of this paper is to establish the mathematical model on the elastic-plastic transitions occurring in the rotating spherical shells based on compressibility of materials. The paper investigates the elastic-plastic stresses and angular speed required to start yielding in rotating shells for compressible and incompressible materials. The paper is based on the non-linear transition theory of elastic-plastic shells given by B.R. Seth. The elastic-plastic transition obtained is treated as an asymptotic phenomenon at critical points & the solution obtained at these points generates stresses. The solution obtained does not require the use of semi-empirical yield condition like Tresca or Von Mises or other certain laws. Results are obtained numerically and depicted graphically. It has been observed that Rotating shells made of the incompressible material are on the safer side of the design as compared to rotating shells made of compressible material. The effect of density variation has been discussed numerically on the stresses. With the effect of density variation parameter, rotating spherical shells start yielding at the internal surface with the lower values of the angular speed for incompressible/compressible materials.
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Reference
|
|
7 
|
Chakrabarty, J. (1987) Theory of Plasticity. New York: McGraw-Hill
|
|
 
|
Civalek, Ö., Gürses, M. (2009) Free vibration analysis of rotating cylindrical shells using discrete singular convolution technique. International Journal of Pressure Vessels and Piping, 86(10): 677-683
|
|
|
Eberlein, R., Wriggers, P. (1999) Finite element concepts for finite elastoplastic strains and isotropic stress response in shells: theoretical and computational analysis. Computer Methods in Applied Mechanics and Engineering, 171(3-4): 243-279
|
|
1
|
Gupta, S. K., Sharma, S., Pathak, S. (2000) Creep Transition in a Thin Rotating Dise Of Variable Density. Defence Science Journal, 50(2): 147-153
|
|
|
Hulsarkar, S. (1981) Elastic Plastic Transitions in Transversely Isotropic Shells under uniform pressure. Indian J. Pure Applied Math., 12 (4); 552-557
|
|
|
Odqvist, F.K.G. (1964) On theories of creep rupture. u: Reiner M.; Abir D. [ur.] IUTAM Symp. Second-Order Effects in Elasticity, Plasticity and Fluid Dynamics, Haifa, Proc, Pergamon Press, 295-313
|
|
6
|
Pankaj, T. (2011) Elastic-plastic transition stresses in rotating cylinder by finite deformation under steady-state temperature. Thermal Science, vol. 15, br. 2, str. 537-543
|
|
7
|
Pankaj, T. (2010) Creep transition stresses in a thin rotating disc with shaft by finite deformation under steady-state temperature. Thermal Science, vol. 14, br. 2, str. 425-436
|
|
|
Schmidt, R., Weichert, D. (1989) A Refined Theory of Elastic-Plastic Shells at Moderate Rotations. ZAMM - Journal of Applied Mathematics and Mechanics, 69(1): 11-21
|
|
|
Seth, B. R. (1963) Elastic-plastic Transition in Shells and Tubes under Pressure. ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 43(7-8): 345-351
|
|
5
|
Seth, B.R. (1966) Measure-concept in mechanics. International Journal of Non-Linear Mechanics, 1(1): 35-40
|
|
|
Shambharkar, R. (2008) Vibration analysis of thin rotating cylindrical shell. NIIT Rourkela, Ph. D. thesis
|
|
|
Sharma, S., Sahni, M. (2009) Elastic-Plastic Transition of Transversely Isotropic Thin Rotating Disc. Contemporary Engineering Sciences, 2 (9); 433-440
|
|
|
Simo, J.C., Rifai, M.S., Fox, D.D. (1990) On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-the-thickness stretching. Computer Methods in Applied Mechanics and Engineering, 81(1): 91-126
|
|
|
Sokolnikoff, I.S. (1946) The Mathematical Theory of Elasticity. New York: McGraw-Hill
|
|
|
Thakur, P., Singh, S.B., Sawhney, S. (2015) Elastic-Plastic Infinitesimal Deformation in a Solid Disk under Heat Effect by Using Seth Theory. Int. J. Appl. Comput. Math., 3 (2); 621-633
|
|
1
|
Thakur, P., Kaur, J., Bir, S.S. (2016) Thermal creep transition stresses and strain rates in a circular disc with shaft having variable density. Engineering Computations, 33(3): 698-712
|
|
13
|
Timoshenko, S.P., Goodier, J.N. (1970) Theory of elasticity. New York: McGraw-Hill, 3rd ed
|
|
|
Woelke, P.B. (2005) Computational model for elasto-plastic and damage analysis of plates and shells. LSU Doctoral Dissertations, 2945, http://digitalcommons.lsu.edu/gradschool_dissertations/2945, 15 April 2016
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