Elastic-Plastic Transition in a Thin Rotating Disc with Inclusion
Stresses for the elastic-plastic transition and fully
plastic state have been derived for a thin rotating disc with inclusion
and results have been discussed numerically and depicted graphically.
It has been observed that the rotating disc with inclusion and made of
compressible material requires lesser angular speed to yield at the
internal surface whereas it requires higher percentage increase in
angular speed to become fully plastic as compare to disc made of
incompressible material.
[1] S.P. Timoshenko and J.N. Goodier, "Theory of Elasticity", 3rd Edition,
New York : McGraw-Hill Book Coy., London. 1951.
[2] J. Chakrabarty, "Theory of Plasticity", New York: McGraw-Hill Book
Coy., 1987.
[3] J. Heyman, "Plastic Design of Rotating Discs", Proc. Inst. Mech. Engrs.,
vol. 172, pp. 531-546, 1958.
[4] Gupta, S.K & Shukla, R.K. "Elastic-plastic Transition in a Thin Rotating
Disc", Ganita, vol. 45, pp. 78-85, 1994.
[5] B.R. Seth, "Transition theory of Elastic-plastic Deformation, Creep and
Relaxation", Nature, vol. 195, pp. 896-897, 1962.
[6] B.R. Seth, "Measure Concept in Mechanics", Int. J. Non-linear Mech.,
vol. 1, pp. 35-40, 1966.
[7] B.R. Seth, "Creep Transition", J. Math. Phys. Sci., vol. 8, pp. 1-2, 1972.
[8] B.R. Seth, "Elastic-plastic transition in shells and tubes under pressure",
ZAMM, vol. 43, pp. 345, 1963.
[9] S. Hulsurkar, "Transition theory of creep shells under uniform pressure",
ZAMM, vol. 46, pp. 431- 437, 1966.
[10] S.K. Gupta and R.L. Dharmani, "Creep Transition in thick - walled
cylinder under internal pressure", ZAMM, vol. 59, pp. 517-521, 1979.
[11] S. K. Gupta and Pankaj "Creep Transition in an isotropic disc having
variable thickness subjected to internal pressure", Proc. Nat. Acad. Sci.
India, Sect. A, vol. 78, Part I, pp. 57-66, 2008.
[12] S.K. Gupta, Dharmani, R. L. and V. D. Rana, "Creep Transition in
torsion", Int. Jr. Non - linear Mechanics, vol. 13, pp. 303-309, 1979.
[13] S.K. Gupta and Pankaj, "Thermo elastic - plastic transition in a thin
rotating disc with inclusion", Thermal Science, vol. 11, pp 103-118,
2007.
[14] S.K. Gupta, "Thermo Elastic-plastic Transition of Thick-walled Rotating
Cylinder", Proc. 1st Int. Symp. on Thermal Stresses and Related Topics,
Japan ,June 5-7, 1995.
[15] S.K. Gupta and Pankaj, "Creep transition in a thin rotating disc with
rigid inclusion", Defence Science Journal, vol. 5, pp. 185-195, 2007.
[16] I.S. Sokolinikoff, "Mathematical theory of Elasticity", Second edition ,
New York: McGraw - Hill Book Co., pp. 70-71. 1950.
[17] U. G├╝ven, "Elastic - Plastic Rotating Disk with rigid Inclusion", Mech.
Struct. & Mach., vol. 27, pp. 117-128, 1999.
[1] S.P. Timoshenko and J.N. Goodier, "Theory of Elasticity", 3rd Edition,
New York : McGraw-Hill Book Coy., London. 1951.
[2] J. Chakrabarty, "Theory of Plasticity", New York: McGraw-Hill Book
Coy., 1987.
[3] J. Heyman, "Plastic Design of Rotating Discs", Proc. Inst. Mech. Engrs.,
vol. 172, pp. 531-546, 1958.
[4] Gupta, S.K & Shukla, R.K. "Elastic-plastic Transition in a Thin Rotating
Disc", Ganita, vol. 45, pp. 78-85, 1994.
[5] B.R. Seth, "Transition theory of Elastic-plastic Deformation, Creep and
Relaxation", Nature, vol. 195, pp. 896-897, 1962.
[6] B.R. Seth, "Measure Concept in Mechanics", Int. J. Non-linear Mech.,
vol. 1, pp. 35-40, 1966.
[7] B.R. Seth, "Creep Transition", J. Math. Phys. Sci., vol. 8, pp. 1-2, 1972.
[8] B.R. Seth, "Elastic-plastic transition in shells and tubes under pressure",
ZAMM, vol. 43, pp. 345, 1963.
[9] S. Hulsurkar, "Transition theory of creep shells under uniform pressure",
ZAMM, vol. 46, pp. 431- 437, 1966.
[10] S.K. Gupta and R.L. Dharmani, "Creep Transition in thick - walled
cylinder under internal pressure", ZAMM, vol. 59, pp. 517-521, 1979.
[11] S. K. Gupta and Pankaj "Creep Transition in an isotropic disc having
variable thickness subjected to internal pressure", Proc. Nat. Acad. Sci.
India, Sect. A, vol. 78, Part I, pp. 57-66, 2008.
[12] S.K. Gupta, Dharmani, R. L. and V. D. Rana, "Creep Transition in
torsion", Int. Jr. Non - linear Mechanics, vol. 13, pp. 303-309, 1979.
[13] S.K. Gupta and Pankaj, "Thermo elastic - plastic transition in a thin
rotating disc with inclusion", Thermal Science, vol. 11, pp 103-118,
2007.
[14] S.K. Gupta, "Thermo Elastic-plastic Transition of Thick-walled Rotating
Cylinder", Proc. 1st Int. Symp. on Thermal Stresses and Related Topics,
Japan ,June 5-7, 1995.
[15] S.K. Gupta and Pankaj, "Creep transition in a thin rotating disc with
rigid inclusion", Defence Science Journal, vol. 5, pp. 185-195, 2007.
[16] I.S. Sokolinikoff, "Mathematical theory of Elasticity", Second edition ,
New York: McGraw - Hill Book Co., pp. 70-71. 1950.
[17] U. G├╝ven, "Elastic - Plastic Rotating Disk with rigid Inclusion", Mech.
Struct. & Mach., vol. 27, pp. 117-128, 1999.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:58877", author = "Pankaj and Sonia R. Bansal", title = "Elastic-Plastic Transition in a Thin Rotating Disc with Inclusion", abstract = "Stresses for the elastic-plastic transition and fully
plastic state have been derived for a thin rotating disc with inclusion
and results have been discussed numerically and depicted graphically.
It has been observed that the rotating disc with inclusion and made of
compressible material requires lesser angular speed to yield at the
internal surface whereas it requires higher percentage increase in
angular speed to become fully plastic as compare to disc made of
incompressible material.", keywords = "Angular speed, Elastic-Plastic, Inclusion, Rotatingdisc, Stress, Transition.", volume = "2", number = "2", pages = "119-5", }