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      Stress analysis of rotating annular hyperbolic discs obeying a pressure-dependent yield criterion

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      https://www.riss.kr/link?id=A103564510

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      다국어 초록 (Multilingual Abstract)

      The Drucker-Prager yield criterion is combined with an equilibrium equation to provide the elastic-plastic stress distribution within rotating annular hyperbolic discs and the residual stress distribution when the angular speed becomes zero. It is verified that unloading is purely elastic for the range of parameters used in the present study. A numerical technique is only necessary to solve an ordinary differential equation. The primary objective of this paper is to examine the effect of the parameter that controls the deviation of the Drucker-Prager yield criterion from the von Mises yield criterion and the geometric parameter that controls the profile of hyperbolic discs on the stress distribution at loading and the residual stress distribution.
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      The Drucker-Prager yield criterion is combined with an equilibrium equation to provide the elastic-plastic stress distribution within rotating annular hyperbolic discs and the residual stress distribution when the angular speed becomes zero. It is ver...

      The Drucker-Prager yield criterion is combined with an equilibrium equation to provide the elastic-plastic stress distribution within rotating annular hyperbolic discs and the residual stress distribution when the angular speed becomes zero. It is verified that unloading is purely elastic for the range of parameters used in the present study. A numerical technique is only necessary to solve an ordinary differential equation. The primary objective of this paper is to examine the effect of the parameter that controls the deviation of the Drucker-Prager yield criterion from the von Mises yield criterion and the geometric parameter that controls the profile of hyperbolic discs on the stress distribution at loading and the residual stress distribution.

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      참고문헌 (Reference)

      1 Timoshenko, S., "Theory of Elasticity" McGraw-Hill 1970

      2 Hojjati, M.H., "Theoretical and numerical analyses of rotating discs of non-uniform thickness and density" 85 : 694-700, 2008

      3 Spitzig, W.A., "The effect of hydrostatic pressure on the deformation behavior of maraging and HY-80 steels and its implications for plasticity theory" 7A : 1703-1710, 1976

      4 Drucker, D.C., "Soil mechanics and plastic analysis for limit design" 10 : 157-165, 1952

      5 Eraslan, A.N., "On the rotating elastic-plastic solid disks of variable thickness having concave profiles" 44 : 1445-1466, 2002

      6 You, L.H., "Numerical analysis of elastic-plastic rotating disks with arbitrary variable thickness and density" 37 : 7809-7820, 2000

      7 Liu, P.S., "Mechanical behaviors of porous metals under biaxial tensile loads" A422 : 176-183, 2006

      8 Kao, A.S., "Influence of superimposed hydrostatic pressure on bending fracture and formability of a low carbon steel containing globular sulfides" 112 : 26-30, 1990

      9 Eraslan, A.N., "Inelastic deformations of rotating variable thickness solid disks by Tresca and von Mises criteria" 3 (3): 89-101, 2002

      10 Pirumov, A., "Enlargement of a circular hole in a disc of plastically compressible material" 224 (224): 2965-2976, 2013

      1 Timoshenko, S., "Theory of Elasticity" McGraw-Hill 1970

      2 Hojjati, M.H., "Theoretical and numerical analyses of rotating discs of non-uniform thickness and density" 85 : 694-700, 2008

      3 Spitzig, W.A., "The effect of hydrostatic pressure on the deformation behavior of maraging and HY-80 steels and its implications for plasticity theory" 7A : 1703-1710, 1976

      4 Drucker, D.C., "Soil mechanics and plastic analysis for limit design" 10 : 157-165, 1952

      5 Eraslan, A.N., "On the rotating elastic-plastic solid disks of variable thickness having concave profiles" 44 : 1445-1466, 2002

      6 You, L.H., "Numerical analysis of elastic-plastic rotating disks with arbitrary variable thickness and density" 37 : 7809-7820, 2000

      7 Liu, P.S., "Mechanical behaviors of porous metals under biaxial tensile loads" A422 : 176-183, 2006

      8 Kao, A.S., "Influence of superimposed hydrostatic pressure on bending fracture and formability of a low carbon steel containing globular sulfides" 112 : 26-30, 1990

      9 Eraslan, A.N., "Inelastic deformations of rotating variable thickness solid disks by Tresca and von Mises criteria" 3 (3): 89-101, 2002

      10 Pirumov, A., "Enlargement of a circular hole in a disc of plastically compressible material" 224 (224): 2965-2976, 2013

      11 Eraslan, A.N., "Elastoplastic deformations of rotating parabolic solid disks using Tresca’s yield criterion" 22 : 861-874, 2003

      12 Rees, D.W.A., "Elastic-plastic stresses in rotating discs by von Mises and Tresca" 19 : 281-288, 1999

      13 Orcan, Y., "Elastic-plastic stresses in linearly hardening rotating solid disks of variable thickness" 29 : 269-281, 2002

      14 Guven, U., "Elastic-plastic stresses in a rotating annular disk of variable thickness and variable density" 34 (34): 133-138, 1992

      15 Guven, U., "Elastic-plastic stress distribution in a rotating hyperbolic disk with rigid inclusion" 40 : 97-109, 1998

      16 Alexandrova, N., "Elastic-plastic stress distribution in a plastically anisotropic rotating disk" 71 (71): 427-429, 2004

      17 Callioglu, H., "Elastic-plastic stress analysis of an orthotropic rotating disc" 48 : 985-990, 2006

      18 Eraslan, A.N., "Elastic-plastic deformation of a rotating solid disk of exponentially varying thickness" 34 : 423-432, 2002

      19 Alexandrov, S., "Effect of pressure-dependency of the yield criterion on the development of plastic zones and the distribution of residual stresses in thin annular disks" ASME 78 (78): 031012-, 2011

      20 Wilson, C.D., "A critical reexamination of classical metal plasticity" 69 : 63-68, 2002

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