Elastic Strain-Concentration Factor of Cylindrical Bars with Circumferential Flat-Bottom Groove under Static Tension
Using finite element method (FEM), the elastic
new strain-concentration factor (SNCF) of cylindrical bars
with circumferential flat-bottom groove is studied. This new
SNCF has been defined under triaxial stress state. The
employed specimens have constant groove depth with net
section and gross diameters of 10.0 and 16.7 mm,
respectively. The length of flatness ao has been varied form
0.0 ~12.5 mm to study the elastic SNCF of this type of
geometrical irregularities. The results that the elastic new
SNCF rapidly drops from its elastic value of the groove with
ao = 0.0, i.e. circumferential U-notch, and reaches minimum
value at ao = 2 mm. After that the elastic new SNCF becomes
nearly constant with increasing flatness length (ao). The value
of tensile load at yielding at the groove root increases with
increasing ao. The current results show that severity of the
notch decreases with increasing flatness length ao.
[1] K. Nishida, Stress Concentration (in Japanese). Morikita Shuppan,
Tokyo, 1974.
[2] W.D. Pilkey, Peterson-s Stress Concentration Factors. Wiley, New
York, 1997.
[3] H. F. Hardrath and L. Ohman, "A study of elastic and plastic stress
concentration factors due to notches and fillets in flat plates,". NACA
Report 1117, National Advisory Committee Aeronautics, 1953.
[4] H. Neuber, "Theory of stress concentration factor for shear-strained
prismatical bodies with arbitrary nonlinear stress-strain law," J. Appl.
Mechanics, vol. 28, pp. 544-550, 1961.
[5] M. M. Leven and M. M. Frocht, "Stress-concentration factors for single
notch in flat bar in pure and central bending,". J. Appl. Mechanics, vol.
74, pp. 560-561. 1952.
[6] A. Kato, "Design equation for stress concentration factors of notched
strips and grooved shafts," J. strain analysis, vol. 26, pp. 21-28, 1991.
[7] N. -A. Noda, M. Sera, and Y. Takase, "Stress concentration factors for
round and flat test specimens with notches," Int. J. Fatigue, vol. 17 (3),
pp. 163-178,1995.
[8] P.S. Theocaris, "Experimental solution of elastic-plastic plane stress
problems," J. Appl. Mechanics, vol. 29, pp. 735-743, 1962.
[9] P.S. Theocaris and E. Marketos, "Elastic-plastic strain and stress
distribution in notched plates under plane stress," J. Mech. Phys. Solids,
vol. 11, pp. 411-428, 1963.
[10] A.J. Durelli and C.A. Sciammarella, "Elastoplastic stress and strain
distribution in a finite plate with a circular hole subjected to
unidimensional load," J. Appl. Mechanics, vol. 30, pp. 115-121, 1963.
[11] P.S. Theocaris, "The effect of plasticity on the stress-distribution of thin
notched plates in tension," J. Franklin Inst., vol. 279, pp. 22-38, 1965.
[12] K. Ogura, N. Miki, and K. Ohji, "Finite element analysis of elasticplastic
stress and strain concentration factors under plane strain and
axisymmetric conditions (in Japanese)," Trans. Japan Soc. Mech.
Engrs., vol. 47, pp. 55-62, 1981.
[13] S.J. Hardy and M.K. Pipelzadeh, "An assessment of the notch stressstrain
conversion rules for short flat bars with projections subjected to
axial and shear loading," J. Strain Analysis, vol. 31 (2), pp. 91-110,
1996.
[14] T. Majima, "Strain-concentration factor of circumferentially notched
cylindrical bars under static tension," J. Strain Analysis, vol. 34 (5), pp.
347-360, 1999.
[15] H. M. Tlilan, N. Sakai, and T. Majima, "Strain-concentration factor of a
single-edge notch under pure bending". (In Japanese) Yamanashi
District Conference, No. 040-4, Japan, 2004
[16] H. M. Tlilan, N. Sakai, and T. Majima, "Strain-concentration factor of
rectangular bars with a single-edge notch under pure bending". (In
Japanese), Journal of the Society of Materials Science, vol. 54 (7), 2005.
[17] H. M. Tlilan, S. Yousuke, and T. Majima, "Effect of notch depth on
strain-concentration factor of notched cylindrical bars under static
tension", European Journal of Mechanics A / Solids, vol. 24 (3), 406-
416, 2005.
[18] H. M. Tlilan, N. Sakai, and T. Majima, "Effect of notch depth on strainconcentration
factor of rectangular bars with a single-edge notch under
pure bending", International Journal of Solids and Structures, vol. 43,
459-474, 2006.
[19] H. M. Tlilan, A. S. Al-Shyyab, T. Darabseh, and T.Majima," Strain-
Concentration Factor of Notched Cylindrical Austenitic stainless Steel
Bar with Double Slant Circumferential U- Notches Under Static
Tension". Jordan Journal of Mechanical and Industrial Engineering,
vol. 1(2), 105-111, 2007.
[20] H. M. Tlilan, A. S. Al-Shyyab, A. M. Jawarneh, A. K. Ababneh, "Strainconcentration
factor of circumferentially V-notched cylindrical bars
under static tension". Journal of Mechanics, vol. 24 (4), 419-427, 2008.
[1] K. Nishida, Stress Concentration (in Japanese). Morikita Shuppan,
Tokyo, 1974.
[2] W.D. Pilkey, Peterson-s Stress Concentration Factors. Wiley, New
York, 1997.
[3] H. F. Hardrath and L. Ohman, "A study of elastic and plastic stress
concentration factors due to notches and fillets in flat plates,". NACA
Report 1117, National Advisory Committee Aeronautics, 1953.
[4] H. Neuber, "Theory of stress concentration factor for shear-strained
prismatical bodies with arbitrary nonlinear stress-strain law," J. Appl.
Mechanics, vol. 28, pp. 544-550, 1961.
[5] M. M. Leven and M. M. Frocht, "Stress-concentration factors for single
notch in flat bar in pure and central bending,". J. Appl. Mechanics, vol.
74, pp. 560-561. 1952.
[6] A. Kato, "Design equation for stress concentration factors of notched
strips and grooved shafts," J. strain analysis, vol. 26, pp. 21-28, 1991.
[7] N. -A. Noda, M. Sera, and Y. Takase, "Stress concentration factors for
round and flat test specimens with notches," Int. J. Fatigue, vol. 17 (3),
pp. 163-178,1995.
[8] P.S. Theocaris, "Experimental solution of elastic-plastic plane stress
problems," J. Appl. Mechanics, vol. 29, pp. 735-743, 1962.
[9] P.S. Theocaris and E. Marketos, "Elastic-plastic strain and stress
distribution in notched plates under plane stress," J. Mech. Phys. Solids,
vol. 11, pp. 411-428, 1963.
[10] A.J. Durelli and C.A. Sciammarella, "Elastoplastic stress and strain
distribution in a finite plate with a circular hole subjected to
unidimensional load," J. Appl. Mechanics, vol. 30, pp. 115-121, 1963.
[11] P.S. Theocaris, "The effect of plasticity on the stress-distribution of thin
notched plates in tension," J. Franklin Inst., vol. 279, pp. 22-38, 1965.
[12] K. Ogura, N. Miki, and K. Ohji, "Finite element analysis of elasticplastic
stress and strain concentration factors under plane strain and
axisymmetric conditions (in Japanese)," Trans. Japan Soc. Mech.
Engrs., vol. 47, pp. 55-62, 1981.
[13] S.J. Hardy and M.K. Pipelzadeh, "An assessment of the notch stressstrain
conversion rules for short flat bars with projections subjected to
axial and shear loading," J. Strain Analysis, vol. 31 (2), pp. 91-110,
1996.
[14] T. Majima, "Strain-concentration factor of circumferentially notched
cylindrical bars under static tension," J. Strain Analysis, vol. 34 (5), pp.
347-360, 1999.
[15] H. M. Tlilan, N. Sakai, and T. Majima, "Strain-concentration factor of a
single-edge notch under pure bending". (In Japanese) Yamanashi
District Conference, No. 040-4, Japan, 2004
[16] H. M. Tlilan, N. Sakai, and T. Majima, "Strain-concentration factor of
rectangular bars with a single-edge notch under pure bending". (In
Japanese), Journal of the Society of Materials Science, vol. 54 (7), 2005.
[17] H. M. Tlilan, S. Yousuke, and T. Majima, "Effect of notch depth on
strain-concentration factor of notched cylindrical bars under static
tension", European Journal of Mechanics A / Solids, vol. 24 (3), 406-
416, 2005.
[18] H. M. Tlilan, N. Sakai, and T. Majima, "Effect of notch depth on strainconcentration
factor of rectangular bars with a single-edge notch under
pure bending", International Journal of Solids and Structures, vol. 43,
459-474, 2006.
[19] H. M. Tlilan, A. S. Al-Shyyab, T. Darabseh, and T.Majima," Strain-
Concentration Factor of Notched Cylindrical Austenitic stainless Steel
Bar with Double Slant Circumferential U- Notches Under Static
Tension". Jordan Journal of Mechanical and Industrial Engineering,
vol. 1(2), 105-111, 2007.
[20] H. M. Tlilan, A. S. Al-Shyyab, A. M. Jawarneh, A. K. Ababneh, "Strainconcentration
factor of circumferentially V-notched cylindrical bars
under static tension". Journal of Mechanics, vol. 24 (4), 419-427, 2008.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:53192", author = "Hitham M. Tlilan", title = "Elastic Strain-Concentration Factor of Cylindrical Bars with Circumferential Flat-Bottom Groove under Static Tension", abstract = "Using finite element method (FEM), the elastic
new strain-concentration factor (SNCF) of cylindrical bars
with circumferential flat-bottom groove is studied. This new
SNCF has been defined under triaxial stress state. The
employed specimens have constant groove depth with net
section and gross diameters of 10.0 and 16.7 mm,
respectively. The length of flatness ao has been varied form
0.0 ~12.5 mm to study the elastic SNCF of this type of
geometrical irregularities. The results that the elastic new
SNCF rapidly drops from its elastic value of the groove with
ao = 0.0, i.e. circumferential U-notch, and reaches minimum
value at ao = 2 mm. After that the elastic new SNCF becomes
nearly constant with increasing flatness length (ao). The value
of tensile load at yielding at the groove root increases with
increasing ao. The current results show that severity of the
notch decreases with increasing flatness length ao.", keywords = "Bar, groove, strain, tension", volume = "5", number = "4", pages = "769-4", }
